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FEM overview

FEM overview - Finite Element Modeling and Analysis with a...

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Finite Element Modeling and Analysis with a Biomechanical Application Alexandra Schönning, Ph.D. Mechanical Engineering University of North Florida ASME Southeast Regional XI Jacksonville, FL April 8, 2005

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Presentation overview Finite Element Modeling The process Elements and meshing Materials Boundary conditions and loads Solution process Analyzing results Biomechanical Application Objective Need for modeling the human femur Data acquisition Development of a 3- Dimensional model Data smoothing NURBS Finite element modeling Initial analysis Discussion and future efforts
Finite Element Modeling (FEM) What is finite element modeling? It involves taking a continuous structure and “cutting” it into several smaller elements and describing each of these small elements by simple algebraic equations. These equations are then assembled for the structure and the field quantity (displacement) is solved. In which fields can it be used? Stresses Heat transfer Fluid flow Electromagnetics

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FEM: The process Determine the displacement at the material interfaces Simplify by modeling the material as springs. Co F3 = 30kN F2 = 20kN St k1 k2 F3 = 30kN F2 = 20kN n1 n2 n3
FEM: The process Draw a FBD for each node, sum the forces, and equate to zero k1 k2 F3 = 30kN F2 = 20kN n1 n2 n3 n3 F3 Spring force2 = k2(x3-x2) ΣF = 0:

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