Numerical Analysis of Tunnel System Impacts on Concrete Pipes Using RS3 FEM Software
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This report discusses the impacts of tunneling on concrete pipes and the simulation of the design using RS3 FEM software. The report includes the design of the tunnel system, simulation for two different inclination angles, and comparison of results for concrete and aluminum pipes.
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2018 PERFORMANCE OF PIPELINES DURING TUNNEL EXCAVATION
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ABSTRACT The numerical analysis of the tunnel system was carried out to analyze the impacts of the tunnel on the pipes. The pipe material selected for this analysis was concrete. Here the simulation was done by RS3 FEM software. It provides the feature to develop the design for the simulation. Here there are two cases are simulated. Both the two cases have same elements as well as, material properties. But the orientation of the pipe and tunnel only changes. In the first case, the tunnel, as well as pipe, is placed perpendicular to each other. So the angle between the pipe as well as the tunnel was 90degree. In the second case, the pipe and tunnel are in the inclined orientation. And the inclination angle was 60 degree for the second case. Here both cases are simulated as well as appropriate graphs are plotted. This graph gives the details about the simulation results. In this report, the results are particularly generated for the concrete pipe material. After the simulation process, the result for the concrete as well as aluminum was compared. TABLE OF CONTENTS pg.1
1.INTRODUCTION..............................................................................................................4 2.RESEARCH PROCEDURES.............................................................................................6 3.AIM OF THE PROJECT....................................................................................................8 4.LITERATURE REVIEW...................................................................................................8 5.COMPARISON BETWEEN VARIOUS FEM SOFTWARES.......................................11 6.RS3 INSTALLATION PROCEDURE.............................................................................13 7.FINITE ELEMENT MODELING....................................................................................14 7.1Discretization.............................................................................................................15 7.2Shape Function Selection..........................................................................................15 7.3FEA Equation Generation.........................................................................................15 7.4Develop the Global Matrix........................................................................................16 7.5Solution......................................................................................................................16 7.6Results.......................................................................................................................16 8.RS3 MODEL DEVELOPMENT......................................................................................16 8.1Case 1........................................................................................................................17 8.2Case 2........................................................................................................................24 9.COMPARISONS BETWEEN RS3 MODEL RESULT OBTAINED AND RESULTS OF LITERATURE REVIEW ATTACHED............................................................................33 10.RESULT DISCUSSION...............................................................................................34 11.CONCLUSION.............................................................................................................34 REFERENCES.........................................................................................................................35 pg.2
TABLE OF FIGURES Figure 1 Research procedure......................................................................................................6 Figure 2 Stages involved in the FEA design............................................................................15 Figure 3 Schematic diagram for case 1....................................................................................17 Figure 4 Pre settings-Case 1.....................................................................................................17 Figure 5 Tunnel Profile- Case 1...............................................................................................18 Figure 6 Pipe profile creation- Case 1......................................................................................19 Figure 7 Soil Boundary creation- Case 1.................................................................................20 Figure 8 Mesh creation- Case 1...............................................................................................21 Figure 9 Material Property dialogue box- Case.......................................................................21 Figure 10 Calculation- Case 1..................................................................................................22 Figure 11 Sigma 1- Case 1.......................................................................................................22 Figure 12 Strength Factor- Case 1...........................................................................................23 Figure 13 Volumetric Strain- Case 1.......................................................................................23 Figure 14 Major Principal Strain-Case 1.................................................................................24 Figure 15 Schematic diagram for Case 2.................................................................................24 Figure 16 Tunnel Profile-Case 2..............................................................................................25 Figure 17 Pipe Profile- Case 2.................................................................................................26 Figure 18 Boundary Generation- Case 2..................................................................................26 Figure 19 Meshing- Case 2......................................................................................................27 Figure 20 Material Property Assigning- Case 2.......................................................................28 Figure 21 Loading- Case 2.......................................................................................................28 Figure 22 Constrains- Case 2...................................................................................................29 Figure 23 Calculation – Case 2................................................................................................29 Figure 24 Strength Factor – Case 2..........................................................................................30 Figure 25Volumetric Strain – Case 2.......................................................................................31 Figure 26Major Principal Strain – Case 2................................................................................32 Figure 27 Result comparison...................................................................................................33 pg.3
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1.INTRODUCTION To avoid the problems related to underground structures we need to design very carefully. Because it involves the lives of many human beings. So we must ensure the safety. Before going to implement the actual design we need to test and verify the design. But there was a big problem involved in the testing process. These structures are relatively too large as well as highly costlier one(Yoo, 2014). And also there is a risk involved in the manual testing. So before the manual testing, we need carry out the simulation of the design. That is the best technique to test that kind of structures. Here we can able to simulate the real loading and its effect on the structures. For that purpose there are many software tools are available in the market. But the RS3 software was most widely used for this purpose. In this project, we are going to study the various types of tunnels and its materials. And also the effects of the tunnel evaluation studied. After that we need to develop the tunnel design. Then the design was simulated by using the RS3 software. Also, the basic outline of the tunnel structure was described for the better understanding (Mu, Huang & Lian, 2013). The tunnels and channels are classified into four stages. It is most probably build upon on the materials terminated. They are all made by the gap in soft ground, be contained of soil and very weak rock; hard rock; soft rock, corresponding shale, chalk, and friable sandstone; and subaqueous. These are 4 types of the ground pillar, nearly all channeling performances. However associate undoubted basic agenda: enquiry, revealing and tangible transport, ground support, and environmental control. Likewise, basic approaches are shared for mining and civil engineering projects. But differ in plan approach toward performance. They all payable to their various reasons. Most of the mining channels are designing for low-cost non- permanent usage during ore dig(Ozcelik, 2018). Even though the developing passion of surface holders for valid defense against subsequent channel collapse. Due to this, it can be able to change. By difference, most of the civil engineering and public works channels are mingled and extended human residency plus full defense of all channels. In geologic state play the superior role in ruling the character of construction methods. It basically of various designs(Bekmirzaev,2015).Actually,channelingbackgroundispaddingwiththe illustration.Inwhichanunexpectedexperiencewithpredictedrules.Itcausedlong termination for changes in establishment methods, in design, or in both. It is with proceeding great enlarges in cost and time. In this analysis, there is some difficulty situation containing pressure, compression, underground water discharge and goes on. pg.4
This was solved by a software technique named RS3 by its finite element analysis. Finite element method is a 3D analysis programming and support to solve the major problem in geotechnical. RS3 is the different modeling and analysis the problem. Its strength is: tunnel digging, tunnel complex designing different stage and it has modeled for rock soil also. Digging (excavation) outline groundwater digging like cave digging, mine digging. Surface digging is used for making a large hole in mine and for constructing base strongly, embankment, enhances systems, hang on a wall, slopes and more(Ivor, Staš & Schneider, 2016).Digging(excavation)enhancescomplexandsupportsystemforgroundwater otherwise surface digging by using beams, bolts, sheet pile walls, steel sets, liners, fore poles, soldier piles. For groundwater modeling, 3D underground seepage method is used and enhances fixed state either transfer finite method analysis. It works with 3D flow limit area situation, completely designed with digging and stress analysis. In this project, the analysis work was carried out to identify the best-suited conditions among the two given alternatives. At first, we need to do the analysis for the first condition (Paullo Muñoz & Roehl, 2017). For that, we need to design the slope in the tunnel position. And the slope angle was 90 degree between the developed tunnel and the pipeline. The second condition was similar to the first condition but her we need to change the angle between the tunnel and pipeline from 90 degrees to 60degree(Cai, 2012). After the development stage, we need to carry out the simulation in the same software used for the design. Then all the results, as well as graphs, are showed need to be generated. Also, the plot of the net effective-stress, as well as overall displacement graphs, is plotted. These graphs are used to quick analyzing purposes. Plots give the better understanding than the setoff values or any tables. So they are highly preferable. pg.5
2.RESEARCH PROCEDURES Anyresearchactivitythatneedstofollowthesetoffprocedures,aswellas methodologies, are followed to effectively carry out any research activity. This set of procedures are described in the below context. The various stages involved in the research work was described in the below context work was described in the below context. The flowchart that shows the various steps are given below. Figure1Research procedure The above given flowchart gives the overview of the process carried out in the analysis process. The detailed explanation of the each steps are described below. Problem Identification Thisistheinitialstageoftheprocess.Thisinvolvedintheinitialproblem identification process. Here the main objective was to find the problem and its causes. They are very essential to solve the problem(Akhaveissy, 2011). The solution of the problem was founded when we know the root cause of the problem. In our case, the pipe was deformed when the tunneling operation was carried out. This is the main problem of the tunneling. But we need to carry out the tunneling operation to ensure the sustainability of the system. So we pg.6 Problem Identification Literature Survey Problem definition Analysis of alternatives Alternative selection Excecution Checking
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need to find the methodology to reduce the impacts of the tunneling operation by the use of some kind of analysis. Literature Survey The literature survey was the widely used technique in all the research works. This process involves the reviewing process of the past work carried out for the same problem. This process was mainly carried out to know about the different parameters about the project (Suzuki et al., 2004). From this analysis, we can able to find the different alternative solutions regarding the problem. This helps to develop the effective solution for the problem. This process gives the overview of the problem. Selection of alternatives Each person has the different perspectives so the same problem that has many alternative solutions. Every solution has its own pros as well as cons. These solutions are identified form the past works and research on the problem. For our problem, there are two major alternatives (Sharma, Hefny, Zhao & Chan, 2001). Among the two alternatives, we need to select any one. The selected alternative must be best suited to the problem. They are described in the next topic. For our case, the best-suited alternative was numerical analysis method. Because that provides the solution within the minimal cost with higher precision. Planning After selecting the best-suited alternative we need to develop the best plan of action it is the very necessary step in the process of solving the problem. In this stage, we need to develop the clear sequence of the steps to solve the problem. In our case, the planning process involved in the solution as described below (Oreste & Dias, 2012). At first, we need to develop the outline design of the system. After developing the rough outline we need to develop the geometric design of the software. That is developed by using the RS3 software. By using this software we need to develop the actual constraints and the simulation works. That was the next stage. After that, we need to develop the various results as well as graphs. Then we need to compare the results obtained from this result as well as the previous results. They are described in the below context. Execution It is the main process involved any research activity, this process gives the results for all the work carried out on the problem("Excavation of Japan’s largest shield tunnels in the pg.7
heart of Tokyo Metropolitan area - the Nishi-Shinjuku Tunnel", 2004). Here we need to implement the plan to achieve the desired results. Here the developed plan was the guidelines for the actual process. Checking This is the final stage of the process, after this process, the research work started again from the first. This process involves the controlling activities in the process. Here we need to measure the actual process and compare it with the plan. We need to calculate the deviations in the actual plan vs. actual process outcomes. The corrective actions were taken based on the deviations measured during this stage. 3.AIM OF THE PROJECT The main objectives of the project were listed in the below context. So we need to accomplish the below-given objectives. •To study the basic tunneling and its impacts. •To develop the design of the tunnel system. •To simulate the developed design for the given conditions. a.For the inclination angle of 90 degrees. b.For the inclination angle of 60 degrees. •Generate the graphs and plots for the simulation. 4.LITERATURE REVIEW ‘‘Boonyarak.T carries out the research to analyze the effects of constructing the new tunnel nearer to the pipes and tunnels. And he found that the new tunnel construction causes the deformation in the existing tunnels. The new tunnel construction develops the stress on the existing tunnel or pipelines (Sharma, Hefny, Zhao & Chan, 2001). The developed stress causes the strain on the pipes or tunnels. That also leads to failure of the tunnel or pipeline system. Which was found in the research? To found these results he carried out the 3D simulation of the tunnel system. From this analysis, he founded that the deformation was measured as .3% in the diameter of the existing system by the construction of the new system. The new construction acts as a load to the existing system. In the vertical direction of the tunnel or pipes, the deformation was high. It is the conclusion given by him from his research work. pg.8
In this the problematic issues of tunnel digging with pipelines where discussed according to 'Jiangwei Shi'. When tunnel digging takes the stress that it changes the importance of the ground soil and disturbs the nearby pipelines. When he analyzes before few years tunnel pipe crossing issues is like the stage struggle difficulties and his target is based on pipelining crossing the tunnel vertically. After his analysis, he handles the centrifugal test. That is based on the inserting the pipelines in a different way according to the direction of the pipeline. For e.g. when the tunnel is in (1.25diameter) distance from pipeline then that reduced the interaction of pipe. Most of the issues can be deducted when tunnel cross vertically and at the same time the problem arises on upon the tunnel centerline.so when that is crossed the tunnel at the angle of 60degree the destination will be changed. These are the problem faced in digging. In this analysis, he used the aluminum as well as steel pipes. Because they are the common materials used to build the pipes. They also provide the better strength as well as life. He used the numerical analysis as well as experimental methods for this problem. For his analysis, he makes the prototype of the system for experimental setup. This is the most convenient method for the analysis. Because we can’t able to measure the actual parameters of the tunnel. Due to very huge size. That’s the reason for using the prototype model. Prototype means the miniature of the actual element. That has all the functional elements of the actual element. The prototype was made by the same material used in the actual model. Here the pipe was attached with the serious of strain gauges, to measure the actual strain caused by the tunnel. This system effectively measures the strain caused by the tunnel. For measuring the strain of the system he used the LVDT sensor. These sensors have the good decent accuracy. Form the research work he found that the tunneling action creates the large amount of stress on the existing pipes and the structures. That causes the deformation of the pipes and structures. Also he found that the tunneling action carried out on the same direction of the pipe line. This is the reason for the maximum deformation on the pipe. So he suggested that the inclined pipe system provides better results. ‘Mr.Wei’ is using a small shot of calculation on tunnel development. He is using a procedure for the arrangement on deposal of soil. According to Winkler justification the design for subway pipelines endangerment. The formula for this is process assigned by Tunnel plane spacing L, Soil loss ratio ηl/ηf, Pipeline requirements, and Pipeline depth h. At last, the soil disposal changes the reaction of the problem changes by straight spacing and makes the changeover in the endangerment of soil disposal. This gives the edge value of the pipelines importance effect and shape of the curve and changes the ratio. This calculation pg.9
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comes across the major problems in tunnel developments. By using this formulated reaction the range of the subway pipeline will come to an end. A tunnel as it only interrupts vertically. ‘VORSTER’ governs an experiment on cylinder pipeline in North India in 3 different ways. They are observing of a stimulating high diameter, Numerical analysis and Comprising centrifugal modeling. This is executed mechanism of soil leading intersection of tunnel pipeline development. By doing this the people who struggle in traffic problems get a great relief. The main reason for this tunnel digging is for controlling these problems. But when these tunneling process takes place lots of problems and changes taken over underground format in that the main problems are soil disposal and pipelining (Kim, 2014). After the problem analysis, the tunnel is designed. Improved the higher and lower accurate with the width parameter K. That sinks with the underground condition. They loss the green field logic and convince volume with different closeness and deep to connect pipelines. The design scale is 1:75 widths the high diameter in Cambridge separator. In this, the performance of pipeline number of local and global developments and pipeline sectional varieties are affected. They are subsequent pipeline performance, relative pipelines, and soil inflexibility. So the damaged ground is equalized distance of pipelines. This process is formulated with the basic balanced pipeline model. When both soil inflexibility and pipelining are changing its comfort zone according to the formalized sector that is based on green are an underground act. After the long examination of the pipeline performance, the information of the field says that pipelines in ground reactions may change its performance. While starting it acts normal pipeline but it can connect each other and modify its state. The lesson of tunnel and pipeline can notice by the sensors action during developing stage in the derivation of centrifuge analysis and analytical designing the design was initiated. During tunneling that it the critical to stop the process. As per the problem of the inflexibility of soil and pipelining the according to the model. According to the study of ‘Yong Tan’, his analysis says about the metropolitan tunnel where huge construction building is closeness to the metropolitan area and hidden pipelines in the closeness. In the process of digging (excavation) it is carried out by the rigid cemented layered wall covered by pipes. The viewed behavior contains ground suitable, deviation of diaphragm wall and construction & advantage of the pipeline. It is viewed daily on the construction of the area on Wall deflection, Rates of deflection and more. For those huge steel cemented construction building basement are strongly provided and for brick based construction schematic basement is provided (Son, 2014). pg.10
On the Douglas, Honegger research says about the general rules for the system of designing gas pipeline and oil. Since 1984 there is no document for this. In 1984 American civil department engineers took the research on PRCI by two members.PRCI is a project on Pipeline Research Council International, Inc. most of the civil engineers give their support for seismic design (Madryas, Kolonko, Szot & Nienartowicz, n.d.). A Project was started on pipeline seismic design with general rule on the motivation of including new techniques in recent engineering and files are stored daily for the new report. The report given by two researchers group is used in this project for the reason of up-to-date knowledge about Pipeline nature, Seismic analysis of hazard and Method of analyzing. According to the Radon, IVANOV study gives the PVC pipeline frequently get cause due to connection disjoint on the basis of the earthquake disaster. It is huge cause when pipes interconnect. A dealing analysis for full causes of hidden pipelines was created. The body of the pipe is designed by line elements and plastic attachments are provided for plastic distortion. In the ground pipes interconnection, the plastic is designed by elastic pipes. On the basis of data test, the program is checked. The limitation importance affect the pipeline character such as pipe wide area, rigid of soil, wrong connection place and vulnerability diagram for these are given and cause of loss is recognized (Wang, Jin & Ouyang, 2013). At cause of failure, an easy format of fault mistake is given. For each angle ranges, there is a definite reason in this. The mistake of crossing place and soil rigidness capacity are small. The reason for cause occurs on the measurement of condensation and pull out on the specific part in pipes (Zhou et al., n.d.). The range of endangerment is 75% failure and it can vary and 90% is added to avoid damage. The difference between compression and failure mistake is ten times larger (Vipulanandan & Ortega, 2005). 5.COMPARISON BETWEEN VARIOUS FEM SOFTWARES Real 3d The Real 3d analysis was also used for the simulation works. This is one of the reliable FEM software. Many of the civil engineers, as well as the scientist widely, use this software to the numerical analysis (Zhao, Li & Liu, 2011)(Kim, 2014). This software was bundled with the pg.11
many features like numerical computational features. This software provides the higher accuracy when compared to the other software tools used for the same purpose. But the same time it also has some complications. But they try to solve those complications without affecting the program. RS3 RS3 is known as a software used for the analysis of structure by the way of three dimensional. And this software mainly used for the design such as a tunnel, groundwater and surface. And it provides the feasible to the actions. And it keeps the model of soil and this model has various types. And these models allocated to various regions. And it had the components such as piles and beams. And the completion of analysis stage makes the software to make a vision in the three-dimensional view. ROCDATA ROCDATA used as a tool to analyze the data about rock and soil and also used to analyze the physical components. And it describes the components such as linear and non- linear type. And it used as the model to get the analysis of the data strength. And this kind of data is used as the input and used to describe the properties. And it includes the database for the application. And it is used as the program and it makes the easy way for the user to analyze the data. RS2 RS2 is known as a software used for the applications, design, and analysis related to the project and it is used to analyze the tunnels by the kind of models. And it has many options to the model and in that it describes the process in terms of interaction. This software is the tools used to make the design such as linear for the use of safety issues. And it had various features to analyze the data. And here the need is less for the program to support the activities in the software. And the analysis is made using this kind of software for soil. ROCPLANE Rocplane is known as a tool in the kind of software used to the part of the analysis and used in the design section also. And also it used to make the models and provide the pg.12
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output. And it had several features to support the analysis. And it had several functions for the analysis output and this plane is used to make a report and drawings. Among this software, the RS3 software was best suited for our requirement. So that was selected for our analysis. 6.RS3 INSTALLATION PROCEDURE RS3 installation procedure was detaily explained in the below context. First, we need to download the RS3 software file from the ROCSCIENCE website. They provide the free trial version for the academic usage. We can also buy the student license from their site. They provide the offer for students. They discount nearly 50 percent of the money for the students. After buying the software we need to install this software. that is showed in the below context. First, we need to unzip the file downloaded. Then we need to run this software as the administrator. After that, it shows the license dialogue box. This box contains two options like yes/no. we need to press yes to proceed the further steps. This process was showed in the below figure. After that, the software installation wizard will showed on the screen. Then we need to click next to proceed the further steps. It was shown in the below figure. It also contains the user agreement. pg.13
Then we need to select the installation location. This is the default location where the RS3 files are stored. That was shown in the below figure. After the sequence of steps, the installation process was completed. 7.FINITE ELEMENT MODELING FEM analysis was the most widely used method for analyzing the structural as well as CFD analysis. This method was carried out for optimizing the design as well as ensure the pg.14
basic safety of the system (Tang, Najafi & Ma, n.d.).The general procedures for the FEM method were described in the below context. That is applicable for all the analysis as well as simulation process carried out by using the FEM method. For carrying out the FEM analysis we need to follow six steps (Mao & Xia, 2012). A flowchart showed in the figure for the better understanding of the steps involved in the FEM technique. Figure2Stages involved in the FEA design 7.1Discretization This is the first and initial step involved in the FEM techniques. This is the process of splitting the one single element into the many small elements. In this discretized parts we need to apply governing equations as well as boundary conditions. By this process, we can get the higher accuracy on the simulation (Yang, Cui, Fu, Fang & Yang, 2013). 7.2Shape Function Selection After successful completion of the discretization process, we need to choose the most appropriate shape function for the problem. Here the interpolation of the elements is showed here. Here the shape function of the FEM method was classified into two major types, and they are listed below (Zhang, Huang & Zhang, 2012). Linear Shape-functions pg.15 Discritization Shape function selection FEA equation generation Develop the global matrix Solution Results
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Quadratic Shape-functions 7.3FEA Equation Generation In this stage, we need to apply the governing equations for the simulation. Here we need to apply the loads as well as constrains on the FEA equations. The governing equation was selected based on the problem. And we need to apply boundary conditions to each element FEA equation. This step was the complicated step in the FEM process. So we need to concentrate on this step (He & Yin, 2014). In our case, the inclination of the tunnel system was the important boundary condition. 7.4Develop the Global Matrix In this step, we need to assemble the global matrix for the whole element. This step was too complicated to do manually. It also takes the more time. But in our case, it was done by the computer software named RS3 (Hrestak, 2015). Which reduces the complications involved in the process. . 7.5Solution In this stage, the solution for the FEA equation was calculated. This step involves the numerical calculations. It was too difficult to proceed manually. 7.6Results In this stage, we are going generate the results as well as various graphs for the problems. These results give the accurate details about the analyzed system. These results contain various graphs as well as animations and tables etc. 8.RS3 MODEL DEVELOPMENT In this project, we are going to simulate the effects on pipes by the construction of new tunnels. Here the pipe has the diameter of 15.880 mm. And it has the wall thickness of 1.650 mm. The total length of the pipe was 920.00 mm (Guo & Zhao, 2013). And the pg.16
material was assumed as the concrete. The concrete pipe has the compressive strength of the 6000psi, here the high strength pipe was considered. The pipe has the density value of 2482.86 kg/m3. The concrete pipe has Young's modulus value of 30GPa (Lapos, Brachman & Moore, 2007). The flexural stiffness of pipe was also considered for the analysis. In this analysis, the pipe and tunnel were buried in the soil. So the soil boundary layer was considered. The boundary layer has the cuboid shape. It has the length of 1245.00 mm, Width of 990.00 mm, as well as the depth of 700.00 mm. Then the tunnel has the semicircle envelope (Feng, Qiu & Li, 2011). The diameter of the tunnel was taken as 152.00 mm (Ma, 2011). In this project, we are going to do the simulation for two cases. And they are described in the below context. 8.1Case 1 In this case, the pipe and tunnel are placed perpendicular to each other. That was shown in the below figure (Gomes, 2013). Here the pipe and tunnel were in the horizontal direction. Schematic diagram of the case 2 was shown in the below figure. Figure3Schematic diagram for case 1 The design stages involved in the RS3 simulation was described below. Pre settings: pg.17
Figure4Pre settings-Case 1 Now we need to create the 3D system by using the RS3 software application. Here we need to install as well as open the software. After that, we need to create the directory for saving the work carried out. After that, we need to open the project setting dialogue box (Song, Miao & Feng, 2015). On this dialogue box, we can able to see the options like general, stages, and orientation, stress analysis, Groundwater, Project summary. These options are used to give the details required for the simulation. Here we are going to edit the orientation of the system. On the orientation, we can able see three options. They are a Horizontal model, vertical model, and inclined model. This option helps to analyze the various analysis regarding the project requirements (Liu, Huang, Shi & Ng, 2016). The main difference between those systems was their axis system. For example, consider the vertical model, here the extrusion was carried out on the Z-axis positive side. By using this software we can also simulate the inclined structures. That was used for case 2 in our project. This software was command based interaction system. So we need to enter the command to develop the envelope of the tunnel. In this project, we need to develop the tunnel in the semicircle stage. Development of tunnel profile: The circle envelope was created by the Arc command. In the command line, we need to enter the letter “A”. Now we need to enter the coordinate values of the starting point. After giving the coordinate values. We need to press enter button. Then we need to close the arc. For that, we need to enter the command “C”. After that, we need to enter the closing pg.18
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coordinate values. Now the arc was created (Teparaksa, 2017). No, we need to draw the line for close the arc. And makes the complete envelope. After that process, we need to extrude the tunnel for the required length. Figure5Tunnel Profile- Case 1 Development of pipe profile Then similarly we need to create the pipe design at the angle of 90o to the tunnel. By using the circle command or the arc command we can able to create the pipe profile. This profile looks similar to the tunnel profile. But it was too small when compared to the tunnel section (Weng, Xu, Wu & Liu, 2016). In this case, the pipe section was perpendicular to the tunnel section. This was the first analysis. That was shown in the below figure. On this figure, the tunnel, as well as pipe, was shown. Where the rectangular section denotes the tunnel. The circular cross-section denotes the pipe. Figure6Pipe profile creation- Case 1 pg.19
Boundary development Then we need to develop the boundary to the system. The boundary was created by pressing the boundaries tap (Tan & Wei, 2012). On this tab, we can able to see the option to develop the boundary by using the coordinate values. In the below figure the generated boundary conditions was showed. The boundary of the system was soil. The pipes are buried inside the soil. Figure7Soil Boundary creation- Case 1 Mesh Creation Meshing was the very important process for the numerical analysis. This must be prepared carefully. For our analysis, the mesh was created by the below-described methods. Now we need to press the mesh tap to open the mesh dialogue box. The mesh setup dialogue box has the feature to select the mesh type as well as the grain size of the mesh. For our project, we need to select the 10 nodes tetrahedral element. And the no edges was selected as 100. Then we need to press the mesh button (Haggard, 1986). We can also change some other parameters by using the advanced settings option. Then it takes some time to create the mesh. After that, we can able to the meshed surface as well as the tunnel. Here the whole system was split into many sub-elements. pg.20
Figure8Mesh creation- Case 1 Assigning of material property After that, we need to give the material properties to the soil as well as pipes in the system (Mitew-Czajewska, 2016). This will be the next step. For apply material properties, we need to open the material property dialogue box by clicking the property tab. Then we need to enter the values like Young's modulus, flexural stiffness, poisons ratio, etc. on the material property dialogue. We need to give material properties for the soil as well as the pipe. In our project, the material property was titled as “Soil” as well as “Pipe” on soil we need to enter the material properties, as well as material types, are need be entered. In another name Pipe, we need to insert the values of the concrete (Wang & Long, 2014). After entering the material properties of the system for the analysis we need to develop the mesh of the system. pg.21
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Figure9Material Property dialogue box- Case Calculation After that, we need to apply the loads and moments related to the project. Then we proceed with the calculation process after that we are able to generate the various graphs in the software (Chen et al., 2015). Calculation part for this research was done by the use of FEM software (RS3). Figure10Calculation- Case 1 Results generation Various results for the project was generated using the RS3 FEM analysis software. In this software module, we need to press the results to tap. The various graphs as well as plots generated for this case one was explained in the below context. pg.22
Sigma 1 Figure11Sigma 1- Case 1 Strength Factor It was the safety factor of the soil. In our problem the value for this factor was assumed as 0.3. Figure12Strength Factor- Case 1 pg.23
Volumetric Strain The volumetric strain was defined as the change of the unit volume of the system for the applied load. In our case, the Maximum value for the volumetric strain was observed as 0.11. And this is the maximum strain caused by the applied load. Figure13Volumetric Strain- Case 1 pg.24
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Major Principal Strain They are the strain acts on the surface of the system. They are widely known as major principal strain as well as minor principal strain. In the system, there is two principal strain are there. But they are mutually perpendicular to each other. Figure14Major Principal Strain-Case 1 8.2Case 2 In the second case, the pipe was inclined 60 degrees to the tunnel. For this contain we need to proceed with the simulation process (Teparaksa, 2018). Schematic diagram of the case 2 was shown in the below figure. Figure15Schematic diagram for Case 2 pg.25
This case also follows the same steps showed in the case one. But the angle was 60 degree instead of 90degree. Here we are going to see the different stages involved in the case two design and simulation process (Bhavikatti, 2005). Almost all the steps are same as the case one. Development of tunnel profile: The arc command is used to make the circle and for this, we have to put the command such as A and the values of the initial point must be entered. And the completion of the values makes the arc command should be closed (Takada & Tanabe, 1987). For that, the command such as C is used. Finally, the arc was made and we have to draw such lines to make an arc command to be closed. Figure16Tunnel Profile-Case 2 Development of pipe profile It seems to be same as before scenario for the creation of design such as pipe but the angle is used as 60 degrees here for the tunnel. And the pipe profile seems to be same as the tunnel and this was made by the command named as 'Arc'. pg.26
Figure17Pipe Profile- Case 2 Boundary development In the section, we have to develop the boundary of the system. And the boundaries tap is used to make the boundary. And the coordinatevaluesare used to the boundary development. And the system considered as soil. And inside the soil, the pipes were buried (Cholewa, Brachman & Moore, 2009). Figure18Boundary Generation- Case 2 pg.27
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Mesh Creation In the numerical analysis, the meshing needs to be considered as essential. And the creation of meshing has some methods. In the first, the dialogue box needs to be open by pressing the mesh tap. And the mesh tap must be selected depending on the features of the dialogue box. And in this project, it needs the edges and nodes. And the edges selected as 100 and options is available like changing the elements and for that, it takes a time. And the surface was meshed same as the tunnel. And the system is split in the way of sub-elements. Figure19Meshing- Case 2 Assigning of material property In the system, the properties of the material have to provide for the soil similar to the pipes. And the dialogue box is used to assign the properties of the material. And then have to be entered in the way of values such as poisons ratio and young modulus and the properties of the material provided to the soil similar to the pipe. And for that material, the types are also needed to be provided. And the pipe needs the value of the concrete. And the mesh of the system development is done by the values of the material properties of the system. pg.28
Figure20Material Property Assigning- Case 2 Loading Here the load values for the each and every node was given. In our project, the seismic load of the soil was considered. Also, the Seismic load factor for the given soil was assumed as 0.3. That is showed in the below figure. Figure21Loading- Case 2 Constrains Here the degree of freedom for each and every node was selected. Here all the degree of freedom for all the nodes is arrested. That was shown in the below figure. pg.29
Figure22Constrains- Case 2 Calculation After that, we need to apply the loads and moments related to the project. Then we proceed with the calculation process after that we are able to generate the various graphs in the software (Chen et al., 2015). Calculation part for this research was done by the use of FEM software (RS3). Figure23Calculation – Case 2 pg.30
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Results generation Various results for the project was generated using the RS3 FEM analysis software. In this software module we need to press the results tap. The various graphs are generated for the case two was explained in the below context. Strength Factors are also known as the safety factor of the soil. Volumetric strain was defined as the change of the unit volume of the system for the applied load. For the inclined pipe model that is measured as 0.10. And this is the maximum value of the volumetric strain for the inclined pipe and tunnel structure. Major Principal Strain was the strain acts on the surface of the system. They are widely known as major principal strain as well as minor principal strain. In the system there are two principal strain are there.But they are mutually perpendicular to each other. In the below figure the major principal strain value for the case two was showed. Strength Factor Figure24Strength Factor – Case 2 pg.31
Volumetric Strain Figure25Volumetric Strain – Case 2 pg.32
Major Principal Strain Figure26Major Principal Strain – Case 2 pg.33
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9.COMPARISONS BETWEEN RS3 MODEL RESULT OBTAINED AND RESULTS OF LITERATURE REVIEW ATTACHED 10.90.50.20 0.00E+00 2.00E+01 4.00E+01 6.00E+01 8.00E+01 1.00E+02 1.20E+02 Method 1Method 2 Pipe Soil Stifness Ratio of max pipe curvature to ground curvature Figure27Result comparison Here the detailed comparison of the three results is shown. The graph shows the comparison between the three methods. Here the detailed comparison of the three results is shown. The graph shows the comparison between the three methods. In this graph the results of the research work carried out by the ‘Jiangwei Shi’, the study carried out by the ‘Boonyarak.T’, as well as this study was showed. In the plotted graph the circle symbol was the results of this research. And the square shape denotes the result of the Boonyarak’s work. Also, the triangle symbol was the Jiangwei Shi’s work. In this graph, the results for the inclined case was shown. Here we can able to see the results of the inclination in the graph. Here the detailed comparison of the three results shown. The graph shows the comparison between the three methods. In this graph the results of the research work carried out by the ‘Jiangwei Shi’, the study carried out by the ‘Boonyarak.T’, as well as this study was showed. In the plotted graph the circle symbol was the results of this research. And the square shape denotes the result of the Boonyarak’s work. Also, the triangle symbol was the Jiangwei Shi’s work. pg.34
10.RESULT DISCUSSION Based on the results of the simulation the following things are observed. They are described below. The use of concrete pipes near to tunnels are a great choice. Because it has some of the following values. These values are not achievable in the aluminum as well as steel pipes. The main reason for using the concrete for the constructional use was its strength. Concrete has the high strength. This material can able to withstand the buckling loads effectively. This also has the higher life over other materials. There is no corrosion problems are noticed in the concrete. This is another added advantage of the concrete pipes over the aluminum pipes and steel pipes. It also cheaper than the other two materials. But at the same time, it provides the higher quality performance. It is also very easy to manufacture. But it was available in the paste form. In the concrete pipes, there are huge technology innovations are invented from day to day. It is a non-flammable material. So it was best suited to transfer the flammable materials. It also available in all the areas. Because of its availability that was most commonly used the constructional material. It doesn’t depend on the environmental factors. It is also best suited for cold weather as well as warm weather conditions. So the material property of the concrete was not changed regarding the environmental temperature. In other hand, metals are capable of changing its shape with respect to temperature. Concrete structures are easily maintained. It is also environmental friendly material. So we don’t need to worry about the environmental effects. 11.CONCLUSION The effects of the creating tunnel on the pipes are simulated using the RS3 FEM software. For this simulation, the design was developed using the RS3 software. After that, the numerical analysis was carried out for this process. The various results are plotted. Also, the results are compared with the previous research results. In this project, many journals are referred to complete the research. Mainly the research was quite similar to the work carried outbythe‘JiangweiShi’buthefollowedtheexperimentalmethod.Insteadofthe experimental method, we use the numerical analysis method. Because it was the effective method for the structural analysis. Here we can able to simulate the many conditions (cases) in the one design. Also, we can able to find the best alternatives among the available methods. This technology was best suited for the optimization works. Also, the numerical analysis was to cheaper method than the experimental method. There are no complications pg.35
are involved in this methods. Also, that is suggested to use the inclined orientation when creating tunnel near to the pipelines. pg.36
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