Assignment on Finite Element Analysis – Vibration of a Box, Stress in a Plate

Finite Element Analysis – Vibration of a box,
Stress in a plate
<Student Name>
<Student Number>
Assignment Report
Supervisor: <XXX>
SCHOOL OF ENGINEERING AND COMPUTER SCIENCE
University of HERTFORDSHIRE
<Month Year>

TABLE OF CONTENTS
TABLE OF CONTENTS..................................................................................................................i
CHAPTER I: INTRODUCTION.....................................................................................................1
CHAPTER II: Model Set-up, Dimensions and Boundary conditions.............................................2
Task 1 – Vibration Analysis of a box..........................................................................................2
Geometry and discretization....................................................................................................3
Judgement of discretization......................................................................................................4
Material properties, loads and Boundary conditions................................................................4
Task 1B – Changing to Orthotropic material...........................................................................4
Task 2 – Stress Analysis of an Aluminium plate.........................................................................5
Geometry and discretization....................................................................................................5
Judgement of discretization......................................................................................................6
Material properties, loads and Boundary conditions................................................................6
Analytical Solution..................................................................................................................8
CHAPTER III: Results & Discussion..............................................................................................9
CHAPTER IV: Conclusion............................................................................................................12
References......................................................................................................................................13
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CHAPTER I: INTRODUCTION
Different applications across the industry use finite element analysis very widely now-a-days.
Multiple types of analysis such as modal, stress analysis (linear and non-linear), thermal etc. can
be done to access the corresponding performance parameters of the designed products.
Multiple applications can be seen across the industry. Traditional one to look is a pressure vessel.
It can be seen that pressure vessel can be designed with analytical calculations first hand.
Sometimes, if the design has a singularity where stress concentrate, it can be captured using
analytical calculations. FEA captures this and reports the results accurately on the stress rise (1).
1

CHAPTER II: Model Set-up, Dimensions and Boundary conditions
As a commercial solution for finite element analysis, ANSYS is widely used across the industry
and a benchmarked software whose results can be trusted if appropriate model is set up. In the
current study also, ANSYS has been used as a tool for analysis.
Task 1 – Vibration Analysis of a box
Figure 1 shows modelled shape of a box with dimensions. This box has a wall thickness of 1.5
mm uniform across all of its walls. An experimental study is already performed on the box to
obtain its first 3 natural frequencies. Figure 2 shows the clamping location during experiment on
the box, same conditions would be mimicked in simulation for MODAL analysis for obtaining
natural frequencies.
Figure 1: Dimensions of modelled box for Vibration analysis in ANSYS
Figure 2: Experimental set-up of Box with clamping location for natural frequencies
2