Finite Element Method Using Matlab: MAC Version
Published on 8. August 1996
Book
Hardback
978-0-8493-9660-1 (ISBN)
Description
The finite element method (FEM) has become one of the most important and useful tools for scientists and engineers. This new book features the use of MATLAB to present introductory and advanced finite element theories and formulations. MATLAB is especially convenient to write and understand finite element analysis programs because a MATLAB program manipulates matrices and vectors with ease. The book is suitable for introductory and advanced courses in the Finite Element Method, as well as a reference for practicing engineers
More details
Series
Language
English
Place of publication
Bosa Roca
United States
Publishing group
Taylor & Francis Inc
Illustrations
Disk.
ISBN-13
978-0-8493-9660-1 (9780849396601)
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Schweitzer Classification
Content
Chapter 1. Introduction to MATLABFinite Element MethodOverview of the BookAbout MATLABVector and Matrix ManipulationsMatrix FunctionsData Analysis FunctionsTools for PolynomialsMaking Complex NumbersNonlinear Algebraic EquationsSolving Differential EquationsLoop and Logical StatementWriting Function SubroutinesFile ManipulationBasic Input-Output FunctionsPlotting ToolsChapter 2. Approximation TechniquesMethods of Weighted ResidualWeak FormulationPiecewise Continuous Trial FunctionGalerkinAs Finite Element FormulationVariational MethodRayleigh-Ritz MethodRayleigh-Ritz Finite Element MethodProblemsChapter 3. Finite Element ProgrammingOverall Program StructureInput DataAssembly of Element Matrices and VectorsApplication of ConstraintsExample ProgramsProblemsChapter 4. Direct Approach with Spring SystemLinear SpringAxial MemberTorsional MemberOther SystemsProblemsChapter 5. LaplaceAs and PoissonAs EquationsGoverning EquationLinear Triangular ElementBilinear Rectangular ElementBoundary IntegralTransient AnalysisTime Integration TechniqueAxisymmetric AnalysisThree-Dimensional AnalysisMATLAB Application to 2-D Steady State AnalysisMATLAB Application to Axisymmetric AnalysisMATLAB Application to Transient AnalysisMATLAB Application to 3-D Steady State AnalysisProblemsChapter 6. Isoparametric ElementsOne-Dimensional ElementsQuadrilateral ElementsTriangular ElementsGauss QuadratureMATLAB Application to Gauss QuadratureMATLAB Application to Laplace EquationProblemsChapter 7. Truss StructuresOne-Dimensional TrussPlane TrussSpace TrussMATLAB Application to Static AnalysisMATLAB Application to Eigenvalue AnalysisMATLAB Application to Transient AnalysisProblemsChapter 8. Beam and Frame StructuresEuler-Bernoulli BeamTimoshenko BeamBeam Elements With Only Displacement Degrees of FreedomMixed Beam ElementHybrid Beam ElementComposite BeamsTwo-Dimensional Frame ElementThree-Dimensional Frame ElementMATLAB Application to Static AnalysisMATLAB Application to Eigenvalue AnalysisMATLAB Application to Transient AnalysisMATLAB Application to Modal Analysis of Undamped SystemMATLAB Application to Modal Analysis of Damped SystemMATLAB Application to Frequency Response AnalysisProblemsChapter 9. Elasticity ProblemPlane Stress and Plane StrainForce VectorEnergy MethodThree-Dimensional SolidAxisymmetric SolidDynamic AnalysisMATLAB Application to 2-D Stress AnalysisMATLAB Application to Axisymmetric AnalysisMATLAB Application to 3-D Stress AnalysisProblemsChapter 10. Plate StructuresClassical Plate TheoryClassical Plate Bending ElementShear Deformable Plate ElementPlate Element With Displacement Degrees of FreedomMixed Plate ElementHybrid Plate ElementMATLAB ApplicationProblemsChapter 11. Control of Flexible StructuresIntroductionStability TheoryStability of Multiple