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Author Chen, Chang-New

Title Discrete element analysis methods of generic differential quadratures / Chang-New Chen
Published Berlin ; New York : Springer, 2006

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Description 1 online resource (xi, 282 pages) : illustrations
Series Lecture notes in applied and computational mechanics, 1613-7736 ; v. 25
Lecture notes in applied and computational mechanics ; v. 25. 1613-7736
Contents Generalization of DQ -- Extended Differential Quadrature -- DQEM Analysis of One-Dimensional Elasticity Problems -- DQEM Analysis of Euler-Bernoulli Beam Structures -- DQEM Analysis of Static Deflection of Three-Dimensional Trusses -- DQEM Analysis of Static Deflection of Three-Dimensional Frames -- DQEM Analysis of Vibration of Frames Considering Warping Torsion -- DQEM Analysis of Timoshenko Beam Structures -- DQEM Analysis of Curved Beam Structures -- Development of DQEM Irregular Elements -- DQEM Analysis of Two-Dimensional Steady-State Field Problems -- DQEM Analysis of Two-Dimensional Elasticity Problems -- DQEM Analysis of Kirchhoff-Love Plate Problems -- DQFDM Analysis -- Generalized Coordinate Differential Quadrature Element Method -- EDQ Based Direct Time Integration Methods
Summary This book presents numerical differential quadrature (DQ) - based methods recently developed by the author. Their ability for solving generic scientific and engineering problems is demonstrated. These methods are the generic differential quadrature, the extended differential quadrature and the related discrete element analysis methods. These novel numerical techniques are both efficient and reliable. They are suitable for developing solution algorithms for various computational mechanics problems with arbitrarily complex geometry. This is shown for several comprehensive examples such as bars and beams, trusses, frames, general field problems, elasticity problems or bending of plates
Bibliography Includes bibliographical references (pages 269-275) and index
Notes English
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Subject Differential equations -- Numerical solutions.
Differential equations, Partial -- Numerical solutions.
MATHEMATICS -- Differential Equations -- General.
Ingénierie.
Differential equations -- Numerical solutions
Differential equations, Partial -- Numerical solutions
Form Electronic book
LC no. 2005933610
ISBN 9783540311850
3540311858
354028947X
9783540289470
6610540071
9786610540075