Magnification Factor and DOF simulation- Project
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Added on 2020-02-24
Magnification Factor and DOF simulation- Project
Added on 2020-02-24
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DYNAMIC SYSTEM MODELLING AND CONTROL0
AbstractTo develop the simulation model for 2 DOF in Simulink and construct the four DOF is theobjective for this project. For solving the equation of Laplace modelling and transfer function, 2Degree of freedom is utilized. Additionally, to obtain the motion modelling equation, equationsare trimmed. The two degree of freedom model simulation produce the results to examinewhether the bike condition is static or dynamic. In this project, magnification factor and DOFsimulation are examined. At last, the investigation of 2 DOF model natural frequency andsuspension performance with pitch are described.
Table of ContentsAbstract..........................................................................................................................................11.Introduction............................................................................................................................12.PART-1....................................................................................................................................12.1Schematic Model of Motorbike......................................................................................12.2System of Suspension Analysis.......................................................................................22.3Two Degree of Freedom Model......................................................................................32.4Vibration Response.........................................................................................................42.5The Simulation Model of the Two-Degree of Freedom...............................................52.6Output of Two-Degree of Freedom...............................................................................62.7Simulation Result of Magnification Factor and Calculation of Transmissibility Factor in 1 DOF.........................................................................................................................72.8Laplace Transform of 2DOF..........................................................................................72.9Difference between 1 DOF and 2 DOF..........................................................................83.PART-2....................................................................................................................................93.12DOF Pitch Schematic Diagram....................................................................................93.2Modelling Equation of 2 DOF Pitch..............................................................................93.32 DOF Pitch Natural Frequency..................................................................................124.Conclusion.............................................................................................................................14References.....................................................................................................................................15
1.IntroductionIn last few years, transportation of vehicle fundamental concept has not varied. To improve thetechnology of vehicle design, several operations were performed. For any type systemautomobile, the suspension is majorly needs to handle the grip on road. Shocks and dampervibrations are created for uneven surface of road. This is because of the road which is notperfectly smooth and flat. According to Newton's law, all motion have both magnitude anddirection. Without an interfering structure, all the vehicle's energy is transferred to the frame. So,in this kind of situations vehicles can completely lose contact from the road. The road steering ofthe vehicle is not possible without the contact of vehicles (Buśkiewicz, 2008). Motor vehiclesand some parameters are controlled using development of motor bike model. The execution of abike using Matlab is essential method in all growths. The motorbike has several advantages. Thedynamic system is controlled by degree of freedom and variation response. The objective of the project is to execute simple bike with 1 DOF, 2 DOF, MultipleDegree of Freedom (M-DOF) and vibration analysis (Wu, Xin and Gan, 2008).2.PART-12.1Schematic Model of Motorbike Fig 1: A Schematic diagramThe above schematic diagram describes the performance of a dynamic system. 1
Number of the degree of freedom of the system = No. of masses in the system * No. of motion ofeach mass. Let us consider the above diagram, the force F1 and F2 behaves like the masses m1 andm2, respectively. In the two degree free body diagram, the modelling equations are represented inequation (1) and (2).Using Newton Second law,m1ẍ1+(c1+c2)ẋ1−c2ẋ2+(k1+k2)x1−k2x2=F1 ------------ (1)m2ẍ2−(c2+c3)ẋ2−c2ẋ1+(k2+k3)2−k2x1=F2 ------------ (2)2.2System of Suspension AnalysisThe need of a suspension system is started during nineteenth century. In the developmentof the automobile industry, the first model is developed by Henry Ford with his car model T andMerced’s-Benz with their machine. For roads and pavements, a better suspension system were tobe designed and manufactured for the development of automobiles. So that, many corporationstook challenge for designing and manufacturing the automobile systems. Thus, they staredworking on a good suspension system. This system improves the ride quality of the automobileand it also gives the comfort to the passengers(Homer, 2014).The suspension system is a part of chassis that includes, the steering system, thesuspension system, borders, tires and wheels. For any suspension system spring, damper,linkages & pivot points are necessary (Mann.C, 2008). A spring is an element that is mainly usedfor storing energy, and it also absorbs the energy and after releases the energy. Damper is adevice that deadens, depresses or restrains. Pivot points are used for support linkages. Linkagesare used to transmit movements (Mihai and Andronic, 2014).2
Fig 2: A Suspension SystemSuspension system consists of two parts, they are:1)Spring mass2)Unspring massThe sprung mass is a part of the vehicle, and it supports the suspension system. Sprung massincludes part of internal components, frame, body and passengers.The unspring mass of the suspension, components are directly connected to the axles, wheelbearings, suspension links, and wheel hub. The unspring mass of the vehicle controls the tradesof between the wheel's road followed by the capacity and vibration isolation. The uneven andunwanted forces on the unspring mass caused by the surface imperfections of the road. There arethree types of suspension systems, namely: 1)Passive suspension system2)Semi-active suspension system 3)Active suspension systemThe conventional suspension system is very popular and is a widely used system. Low cost is thereason for popularity of this system(Dukkipati, 2008).The semi-active system is also called as the adaptive control system. This system uses less powerwhen compared to the active system. If the vehicle is running in the smooth surface, then the3
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