par amira85

un doc en anglais

introduction a la methode des element finie

j'espere qu'il vous sera utile

http://www.zshare.net/download/5208769e4e3704/

bonne chance

par Console

Trés tres bon documents que je conseille à nos membres :

surtout pour la partie en rouge

PART I THE FINITE ELEMENT METHOD..…5

Chapter 1 Introduction………………...…5

1.1 Historical background…………………………...5

1.2 Comparison of FEM with other methods…………

1.3 Problem statement on the example of “shaft under tensile load”…

1.4 Variational formulation of the problem……...9

1.5 Ritz method…………………………….10

1.6 Solution of differential equation (analytical solution)…

1.7 FEM…………..….13

Chapter 2 Finite element of bending beam……

Chapter 3 Quadrilateral finite element under plane stress……

PART II SOLUTION OF FINITE ELEMENT EQUILIBRIUM EQUATIONS….30

Chapter 4 Solution of equilibrium equations in static analysis…….30

4.1 Introduction……………………..30

4.2 Gaussian elimination method………..…31

4.3 Generalisation of Gauss method………….…31

4.4 Simple vector iterations……….33

4.5 Introduction to nonlinear analyses……….….34

4.6 Convergence criteria……………………...37

Chapter 5 Solution of eigenproblems……...39

5.1 Introduction……………39

5.2 Transformation methods………….40

5.3 Jacobi method………………….41

5.4 Vector iteration methods………….42

5.5 Subspace iteration method………..43

Chapter 6 Solution of equilibrium equations in dynamic analysis…..45

6.1 Introduction……………………………….45

6.2 Direct integration methods………………..45

6.3 The Newmark method………………46

6.4 Mode superposition…………………….47

6.5 Change of basis to modal generalised displacements….48

6.6 Analysis with damping neglected…………...49

6.7 Analysis with damping included………………

PART III EMPLOYMENT OF THE FINITE ELEMENT METHOD……………...53

Chapter 7 Some modelling considerations……………53

7.1 Introduction…………………………………………….53

7.2 Type of element

7.3 Size of elements………………..55

7.4 Location of nodes……………………....56

7.5 Number of elements…………………56

7.6 Simplifications afforded by the physical configuration of the body………

7.7 Finite representation of infinite body………………

7.8 Node numbering scheme…………………………59

7.9 Automatic mesh generation……………………59

Chapter 8 Finite element program packages………

8.1 Introduction…………………………….60

8.2 Build the model…………………………...60

8.3 Apply loads and obtain the solution………………

8.4 Review the results………………………...62