Ebook: Discrete Element Analysis Methods of Generic Differential Quadratures

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.

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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.

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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.
Content:
Front Matter....Pages I-XI
Introduction....Pages 1-5
Generalization of DQ — Extended Differential Quadrature....Pages 7-37
DQEM Analysis of One-Dimensional Elasticity Problems....Pages 39-51
DQEM Analysis of Euler-Bernoulli Beam Structures....Pages 53-72
DQEM Analysis of Static Deflection of Three-Dimensional Trusses....Pages 73-83
DQEM Analysis of Static Deflection of Three-Dimensional Frames....Pages 85-102
DQEM Analysis of Vibration of Frames Considering Warping Torsion....Pages 103-121
DQEM Analysis of Timoshenko Beam Structures....Pages 123-135
DQEM Analysis of Curved Beam Structures....Pages 137-158
Development of DQEM Irregular Elements....Pages 159-174
DQEM Analysis of Two-Dimensional Steady-State Field Problems....Pages 175-196
DQEM Analysis of Two-Dimensional Elasticity Problems....Pages 197-209
DQEM Analysis of Kirchhoff-Love Plate Problems....Pages 211-221
DQFDM Analysis....Pages 223-242
Generalized Coordinate Differential Quadrature Element Method....Pages 243-255
EDQ Based Direct Time Integration Methods....Pages 257-268
Back Matter....Pages 269-282

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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.
Content:
Front Matter....Pages I-XI
Introduction....Pages 1-5
Generalization of DQ — Extended Differential Quadrature....Pages 7-37
DQEM Analysis of One-Dimensional Elasticity Problems....Pages 39-51
DQEM Analysis of Euler-Bernoulli Beam Structures....Pages 53-72
DQEM Analysis of Static Deflection of Three-Dimensional Trusses....Pages 73-83
DQEM Analysis of Static Deflection of Three-Dimensional Frames....Pages 85-102
DQEM Analysis of Vibration of Frames Considering Warping Torsion....Pages 103-121
DQEM Analysis of Timoshenko Beam Structures....Pages 123-135
DQEM Analysis of Curved Beam Structures....Pages 137-158
Development of DQEM Irregular Elements....Pages 159-174
DQEM Analysis of Two-Dimensional Steady-State Field Problems....Pages 175-196
DQEM Analysis of Two-Dimensional Elasticity Problems....Pages 197-209
DQEM Analysis of Kirchhoff-Love Plate Problems....Pages 211-221
DQFDM Analysis....Pages 223-242
Generalized Coordinate Differential Quadrature Element Method....Pages 243-255
EDQ Based Direct Time Integration Methods....Pages 257-268
Back Matter....Pages 269-282
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