FEnotes_part1

FEnotes_part1 - Introduction o The finite element...

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1 Introduction o The finite element method (FEM) The complete structure is divided into a finite number of discrete elements. The deformation of each element is relatively simple. o The finite element method has 6 steps: 1. 2. 3. 4. 5. 6. o First we need some terminology: Consider the 2D truss structure:
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2 o Coordinate Systems: The structural ( global ) coordinate system is drawn in the truss figure ( x , z ). This makes sense to use for the boundary conditions, applied loads, etc. But for an element, we prefer to use the element ( local ) coordinate system. On the next few pages, we will demonstra te a FEM “like” problem to show how each of the 6 steps works: 1. Discretization Here we do not consider the boundary conditions, applied loading, etc. just the structure. , xz is the local coordinate system x, z is the global coordinate system
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3 2. Element Equilibrium Case 1: fix u 1 = 0 , u 2 = 1
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This note was uploaded on 05/19/2010 for the course MAE 472 taught by Professor Peters during the Spring '08 term at N.C. State.

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FEnotes_part1 - Introduction o The finite element...

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