Discrete Element Analysis Methods of Generic Differential Quadratures

By: Chang-New Chen

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Hardcover | 20 December 2005

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296 Pages

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23.5 x 16.51 x 2.54

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Following the advance in computer technology, the numerical technique has made signi?cant progress in the past decades. Among the major techniques available for numerically analyzing continuum mechanics problems, ?nite d- ference method is most early developed. It is di?cult to deal with cont- uum mechanics problems showing complex curvilinear geometries by using this method. The other method that can consistently discretize continuum mechanics problems showing arbitrarily complex geometries is ?nite element method. In addition, boundary element method is also a useful numerical method. In the past decade, the di?erential quadrature and generic di?erential quadraturesbaseddiscreteelementanalysismethodshavebeendevelopedand usedto solve various continuum mechanics problems. These methods have the same advantage as ?nite element method of consistently discretizing cont- uum mechanics problems having arbitrarily complex geometries. This book includes my research results obtained in developing the related novel discrete element analysis methods using both of the extended di?erential quadrature based spacial and temporal elements. It is attempted to introduce the dev- oped numerical techniques as applied to the solution of various continuum mechanics problems, systematically.

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Introduction	p. 1
Generalization of DQ - extended differential quadrature	p. 7
DQEM analysis of one-dimensional elasticity problems	p. 39
DQEM analysis of Euler-Bernoulli beam structures	p. 53
DQEM analysis of static deflection of three-dimensional trusses	p. 73
DQEM analysis of static deflection of three-dimensional frames	p. 85
DQEM analysis of vibration of frames considering warping torsion	p. 103
DQEM analysis of Timoshenko beam structures	p. 123
DQEM analysis of curved beam structures	p. 137
Development of DQEM irregular elements	p. 159
DQEM analysis of two-dimensional steady-state field problems	p. 175
DQEM analysis of two-dimensional elasticity problems	p. 197
DQEM analysis of Kirchhoff-Love plate problems	p. 211
DQFDM analysis	p. 223
Generalized coordinate differential quadrature element method	p. 243
EDQ based direct time integration methods	p. 257
Table of Contents provided by Blackwell. All Rights Reserved.

Discrete Element Analysis Methods of Generic Differential Quadratures

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