Finite Element Method
The finite element method (FEM) is a
numerical methodfor solving problems of
engineering and mathematical physics. It is
also referred to as finite element analysis
(FEA).
Basic steps:
Discretization Element analysis. ...
System analysis. ... Boundary conditions. ...
Finding global displacements. ...
Calculation of stresses
Applications of FEM
Stress/Frequency Analysis of Bridge
Crash Analysis of a Vehicle
Air Flow: Race Car & Apartment
Thermal Analysis: Office
Space & Engine Piston
One Dimensional Analysis
Elements used: Spring, Bar, Truss & Beam
Direct stiffness approach
Taking inverse of stiffness matrix and multiplying it with force vector
will give you the displacement vector.
Practice matrix inversion and gauss elimination method for solution.
Review:
1.
P
2. Explain the basic procedure for FEA: element stiffness matrix, structure
equation, applying boundary conditions
Review: Explain how FEA software works and list the important elements used for
analysis.