Local radial basis function collocation method for bending analyses of quasicrystal plates

被引：16

作者：

Chiang, Y. C. ^{[1
,2
]}

Young, D. L. ^{[1
,2
]}

Sladek, J. ^{[3
]}

Sladek, V. ^{[3
]}

机构：

[1] Natl Taiwan Univ, Dept Civil Engn, Taipei 10617, Taiwan

[2] CoreTech Moldex3D, Chupei 30265, Taiwan

[3] Slovak Acad Sci, Inst Construct & Architecture, Bratislava 84503, Slovakia

来源：

APPLIED MATHEMATICAL MODELLING | 2017年 / 50卷

关键词：

Local radial basis function collocation; method; Orthorhombic quasicrystal; Reissner-Mindlin theory; Phonon and phason displacements; PARTIAL-DIFFERENTIAL-EQUATIONS; COMPUTATIONAL FLUID-DYNAMICS; SHAPE PARAMETER SELECTION; DATA APPROXIMATION SCHEME; MESH-FREE METHODS; DIFFUSION-PROBLEMS; ELASTICITY THEORY; WAVE-EQUATIONS; ORDER; INTERPOLATION;

D O I：

10.1016/j.apm.2017.05.051

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The local radial basis function collocation method (LRBFCM) is proposed for plate bending analysis in orthorhombic quasicrystals (QCs) under static and transient dynamic loads. Three common types of the plate bending problems are considered: (1) QC plates resting on Winkler foundation (2) QC plates with variable thickness and (3) QC plates under a transient dynamic load. According to the Reissner Mindlin plate bending theory, there is allowed to simulate the behavior of the two excitations in QC plates, phonon and phason, by 2D strong formulations for the system of governing equations. The governing equations, which describe the phason displacements, are based on Agiasofitou and Lazar elastodynamic model. Numerical results demonstrate the effect of the elastic foundation, as well as plate thickness on the phonon and phason characteristics in this paper. For the transient dynamic analysis, the influence of the phason friction coefficients on the responses of QC plate to transient dynamic loads is also studied. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：463 / 483

页数：21

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