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Finite Element Analysis

by: Savanna Cruickshank

Finite Element Analysis CE 546

Marketplace > University of Idaho > Civil Engineering > CE 546 > Finite Element Analysis
Savanna Cruickshank
GPA 3.54


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Class Notes
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This 3 page Class Notes was uploaded by Savanna Cruickshank on Friday October 23, 2015. The Class Notes belongs to CE 546 at University of Idaho taught by Staff in Fall. Since its upload, it has received 15 views. For similar materials see /class/227780/ce-546-university-of-idaho in Civil Engineering at University of Idaho.


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Date Created: 10/23/15
CE 546lE 549 Lecture 1 Introduction m n Huh What is Finite Element Analysis I A mean of analyzing complex structural continua plates shells solids by breaking the structure into small discrete elements and modeli approximate forcedisplacement behavior of each I A continuous analog ofmatrix structural analysis I A means of analyzing complex continuum mechanics problems in a similar fashi n I Thermodynamics I Fluid ow What is Finite Element Analysis A numerical method for solving differential equations Urn mm r Mm x How to Approach Finite Element Analysis As a theoretical procedure I Le a mathematical abstraction that can be applied to any problem 0 As a practical procedure I Le a black box that can produce elegant results Without understanding What goes on inside the box Some combination ofboth General Description Finite Element solutions to differential equations share the following characteristics I The calculus in nitesimal element is replaced with elements or small but unite d1mensron I The behavior of the element is described at various points or degrees of freedom on the element 39 Displacement of a beam 39 Temperature of the element 39 Potential head of a uid in a pipe wu u may 5 General Description cont The behavior of the element between the degrees of freedom is interpolated by simple functions I Typically polynomial functions The interpolation functions should satisfy compatibility between elements and The solution should satisfy boundary conditions Uses for Finite Element Analysis StructuralMechanical Analysis Thermodynamics Fluid Flow Magnetic Fields etc etc etc Comphcated geometr1es or boundary conditions Complicated material properties nonlinearities anisotropy composites etc up mu r um 7 Where not to use FEA Simple problems Elements with infinite boundaries Boundary Element Methods What must you know beforehand Elementary Mechanics to detect if model is behaving properly I Classical solutions 39 Elasticity Fluid Mechanics or Thermodynamics I Governing relationships 39 Poisson s effect shear deformation large displacement theory 39 Conservation of mass Conservation of energy I Boundary conditions rtu x mm FEA prerequisites cont Thorough understanding of Finite Element types I Number of elements required for accuracy I Model Convergence I Consistency between element types I Limitations of element geometry A clear understanding of What is needed from the analysis


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