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MAE 456 – Finite Element Analysis Introduction to Finite Element Analysis

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Page 1: Introduction to Finite Element Analysiscommunity.wvu.edu/~bpbettig/MAE456/Lecture_1_FEA_intro.pdf · MAE 456 – Finite Element Analysis 2 Three Aspects of this Course 1. ... Figure

MAE 456 – Finite Element Analysis

Introduction to

Finite Element Analysis

Page 2: Introduction to Finite Element Analysiscommunity.wvu.edu/~bpbettig/MAE456/Lecture_1_FEA_intro.pdf · MAE 456 – Finite Element Analysis 2 Three Aspects of this Course 1. ... Figure

MAE 456 – Finite Element Analysis 2

Three Aspects of this Course

1. Learning the practice of FEA

2. Learning to use Dassault SolidWorks FEA capabilities

3. Learning enough theory to practice FEA intelligently on your own

Page 3: Introduction to Finite Element Analysiscommunity.wvu.edu/~bpbettig/MAE456/Lecture_1_FEA_intro.pdf · MAE 456 – Finite Element Analysis 2 Three Aspects of this Course 1. ... Figure

MAE 456 – Finite Element Analysis 3

What is Finite Element Analysis?• Finite Element Analysis (FEA) is setting up

the stress and strain equations for small pieces (elements) of a structure and then combining these equations to solve for the stresses and strains of the whole structure at once.

Figure from R. Cook, et al. Concepts and Applications of Finite Element Analysis, 1996.

Page 4: Introduction to Finite Element Analysiscommunity.wvu.edu/~bpbettig/MAE456/Lecture_1_FEA_intro.pdf · MAE 456 – Finite Element Analysis 2 Three Aspects of this Course 1. ... Figure

MAE 456 – Finite Element Analysis 4

What is Finite Element Analysis?

More accurate but harder to understand definition:

• Finite Element Analysis (FEA) is a numerical procedure to solve the governing equations of a body through piece-wise approximations applied to the entire body.

Page 5: Introduction to Finite Element Analysiscommunity.wvu.edu/~bpbettig/MAE456/Lecture_1_FEA_intro.pdf · MAE 456 – Finite Element Analysis 2 Three Aspects of this Course 1. ... Figure

MAE 456 – Finite Element Analysis 5

When Should FEA be Used?

Page 6: Introduction to Finite Element Analysiscommunity.wvu.edu/~bpbettig/MAE456/Lecture_1_FEA_intro.pdf · MAE 456 – Finite Element Analysis 2 Three Aspects of this Course 1. ... Figure

MAE 456 – Finite Element Analysis 6

Generality of FEA

• FEA can be used to solve:� Structural analysis problems

� Static force/deformation analysis

� Vibration analysis

� Buckling analysis

� Heat transfer problems

� Fluid mechanics problems

� Acoustics problems

� Electromagnetism problems

Page 7: Introduction to Finite Element Analysiscommunity.wvu.edu/~bpbettig/MAE456/Lecture_1_FEA_intro.pdf · MAE 456 – Finite Element Analysis 2 Three Aspects of this Course 1. ... Figure

MAE 456 – Finite Element Analysis 7

General Procedure for Doing FEA

Figure from R. Cook, et al. Concepts and Applications of Finite Element Analysis, 1996.