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

机译:局部径向基函数配置方法在准晶体板弯曲分析中的应用

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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 elastody-namic 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.
机译:提出了局部径向基函数配置法(LRBFCM),用于在静态和瞬态动态载荷下正交斜准准晶(QC)的板弯曲分析。考虑了三种常见的板弯曲问题:(1)放置在Winkler基础上的QC板(2)厚度可变的QC板和(3)瞬态动态载荷下的QC板。根据Reissner-Mindlin板弯曲理论,可以通过控制方程组的二维强公式来模拟QC板中的两个激发声子和声子的行为。用于描述相移的控制方程基于Agiasofitou和Lazar弹性-自然模型。数值结果证明了弹性基础的影响,以及板厚对声子和声子特性的影响。对于瞬态动力分析,还研究了相摩擦系数对QC板对瞬态动力载荷响应的影响。

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