Differential quadrature finite difference method for structural mechanics problems

The differential quadrature finite difference method (DQFDM) has been proposed by the author. The finite difference operators are derived by the differential quadrature (DQ). They can be obtained by using the weighting coefficients for DQ discretizations. The derivation is straight and easy. By usin...

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Vydáno v:Communications in numerical methods in engineering Ročník 17; číslo 6; s. 423 - 441
Hlavní autor: Chen, Chang-New
Médium: Journal Article
Jazyk:angličtina
Vydáno: Chichester, UK John Wiley & Sons, Ltd 01.06.2001
Wiley
Témata:
Beams, plates and shells
Computational techniques
differential quadrature
differential quadrature finite difference method
Exact sciences and technology
finite difference operators
Finite-difference methods
Fundamental areas of phenomenology (including applications)
generic differential quadrature
Mathematical methods in physics
Physics
Solid mechanics
Structural and continuum mechanics
Structural mechanics (beam, string...)
Theory and numerical methods
transition conditions
weighting coefficients
Partial derivative
Transition conditions
Digital simulation
Two dimensional model
Numerical method
Discretization
Plane elasticity
Weighting coefficient
Mechanics
Differential operator
Anisotropic plate
Structural analysis
Finite difference method
ISSN:1069-8299, 1099-0887
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Shrnutí:The differential quadrature finite difference method (DQFDM) has been proposed by the author. The finite difference operators are derived by the differential quadrature (DQ). They can be obtained by using the weighting coefficients for DQ discretizations. The derivation is straight and easy. By using different orders or the same order but different grid DQ discretizations for the same derivative or partial derivative, various finite difference operators for the same differential or partial differential operator can be obtained. Finite difference operators for unequally spaced and irregular grids can also be generated through the use of generic differential quadrature (GDQ). The derivation of higher‐order finite difference operators is also easy. By adopting the same order of approximation for all mathematical terms existing in the problem to be solved, excellent convergence can be obtained due to the consistent approximation.The DQFDM is effective for solving structural mechanics problems. The numerical simulations for solving anisotropic nonuniform plate problems and two‐dimensional plane elasticity problems are carried out. Numerical results are presented. They demonstrate the DQFDM. Copyright © 2001 John Wiley Sons, Ltd.
Bibliografie:istex:96F005CEF4CABB1CBD7BE4F332B2923489DA2E83
ArticleID:CNM418
ark:/67375/WNG-6M2PSQ4C-B
ISSN:1069-8299
1099-0887
DOI:10.1002/cnm.418