Differential Quadrature and Differential Quadrature Based Element Methods : Theory and Applications

Differential Quadrature and Differential Quadrature Based Element Methods : Theory and Applications / Xinwei Wang.

Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications is a comprehensive guide to these methods and their various applications in recent years. Due to the attractive features of rapid convergence, high accuracy, and computational efficiency, the different...

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Bibliographic Details
Main Author: Wang, Xinwei (Author)
Format: eBook
Language:English
Published: Oxford, UK : Butterworth-Heinemann, [2015]
Subjects:
Differential equations > Numerical solutions.
Numerical integration.
MATHEMATICS > Numerical Analysis.
Differential equations > Numerical solutions
Numerical integration
Online Access:Click for online access
Table of Contents:
  • Cover; Title Page; Copyright Page; Contents; Preface; Acknowledgments; Chapter 1
  • Differential quadrature method; 1.1
  • Introduction; 1.2
  • Integral quadrature; 1.3
  • Differential quadrature method; 1.4
  • Determination of weighting coefficients; 1.5
  • Explicit formulation of weighting coefficients; 1.6
  • Various grid points; 1.7
  • Error analysis ; 1.8
  • Local adaptive differential quadrature method; 1.9
  • Differential quadrature time integration scheme; 1.9.1
  • The method of the DQ-based time integration; 1.9.2
  • Application and discussion; 1.10
  • Summary; References.
  • 3.3.5
  • Method of modification of weighting coefficient-23.3.6
  • Method of modification of weighting coefficient-3; 3.3.7
  • Method of modification of weighting coefficient-4; 3.3.8
  • Virtual boundary point method or La-DQM; 3.3.9
  • Method of modification of weighting coefficient-5; 3.4
  • Discussion; 3.5
  • Numerical examples; 3.6
  • Summary; References; Chapter 4
  • Quadrature element method; 4.1
  • Introduction; 4.2
  • Quadrature element method; 4.3
  • Quadrature bar element; 4.4
  • Quadrature Timoshenko beam element; 4.5
  • Quadrature plane stress (strain) element.
  • 4.6
  • Quadrature thick plate element4.6.1
  • Displacement and strain fields; 4.6.2
  • Constitutive equation; 4.6.3
  • Quadrature rectangular thick plate element; 4.7
  • Quadrature thin beam element; 4.8
  • Quadrature thin rectangular plate element; 4.8.1
  • Quadrature rectangular plate element with Lagrange interpolation; 4.8.2
  • Quadrature rectangular plate element with Hermite interpolation; 4.8.3
  • Quadrature rectangular plate element with mixed interpolations; 4.9
  • Extension to quadrilateral plate element with curved edges; 4.10
  • Discussion; 4.10.1
  • Assemblage procedures.
  • 4.10.2
  • Work equivalent load vector4.10.3
  • Quadrature plate elements with nodes other than GLL points; 4.10.4
  • Numerical examples; 4.11
  • Summary; References; Chapter 5
  • In-plane stress analysis; 5.1
  • Introduction; 5.2
  • Formulation-I; 5.3
  • Formulation-II; 5.4
  • Results and discussion; 5.5
  • Equivalent boundary conditions; 5.6
  • Summary; References; Chapter 6
  • Static analysis of thin plate; 6.1
  • Introduction; 6.2
  • Rectangular thin plate under general loading; 6.2.1
  • Basic equations; 6.2.2
  • Differential quadrature formulation; 6.2.3
  • Equivalent load; 6.3
  • Applications.
  • 6.3.1
  • Rectangular plate under uniformly distributed load.

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