Computer Task 2

7/31/2019 Computer Task 2

1/17

Linkping University

Dept of Mechanical Engineering

Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2

The Finite Element Method

Advanced Course; TMHL62

2010-03-18

How to interpret finite element results

Background

The major objective of this exercise is to get a deeper understanding for how good is

the solution both with respect to number of elements and also with respect to element

type. Why is this element type that bad in this case and why are these elements better

and why is this set of boundary conditions a better approximation and so on ... ?

In all cases we will compare the numerical results with an analytical solution.

In your report you are supposed to exp la in the resul t s w i th youro w n w o rd s and point out the correct reasons for why behaviour of the result iswhat it is both with respect to advantages and disadvantages of a certain mesh

containing a certain element type.

Exercise 4: Continuum beam tip loaded

The problem you are supposed to study is described in 4.1 Problem Specification in

the NAFEMs Workbook of Examples. Before you start doing any finite element

calculations it is strongly recommended to read the text under the subheading 4.3

Discussion where the problem for analysis is described and the analytical solution isgiven. A proposed sequence of analysis is described in 4.2 Analysis Specification.

Your task is to solve and discuss the results of the subtask A4.1 A4.7 and after that

also F4.1 and F4.2.

The written report shall contain results and discussions verifying that you have

understood the different behaviour of your different finite element meshes and results

of every subtask above! The report must also contain three different graphs showing

the vertical displacement, the bending stress and the shear stress along the beam. In all

of these three graphs the analytical solution must also be present. Hint: It is possible

to export one curve from one analysis and include all curves of the same kind into the

same graph.

Exercise 5: Infinite thick pipe

This task has exactly the same structure as above. In this case you shall study A5.1,

A5.2, A5.4, F5.1 and F5.2. The report shall contain a thorough discussion for each of

these five items as in the previous subtask. The report shall contain three different

graphs comparing the numerical results and the analytical solution with respect to the

radial stress, the tangential stress and the radial displacement.


2/17

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Exercise 9: Flat bar with edge notches

In this last subtask, you are asked to study the NAFEM tasks A9.1 and A9.2 and

discuss the results. The report shall contain a comparison with the handbook solution.


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

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Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18


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Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Linkping University


Solid Mechanics

Bo Torstenfelt

COMPUTER TASK 2



2010-03-18

Computer Task 2

Documents

Transcript of Computer Task 2