AN IMPROVED MESHLESS METHOD FOR THE STATIC AND VIBRATION ANALYSIS OF PLATES

被引：16

作者：

Rodrigues, J. D. ^{[1
]}

Roque, C. M. C. ^{[1
]}

Ferreira, A. J. M. ^{[1
]}

机构：

[1] Univ Porto, Fac Engn, INEGI, P-4200465 Oporto, Portugal

来源：

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES | 2013年 / 41卷 / 01期

关键词：

Meshless methods; Plates; Vibrations; RADIAL BASIS FUNCTIONS; DATA APPROXIMATION SCHEME; HIGHER-ORDER SHEAR; LAMINATED PLATES; BUCKLING ANALYSIS; THICK PLATES; MULTIQUADRICS; COMPUTATION; FORMULATION;

D O I：

10.1080/15397734.2012.680348

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

An application of a meshless technique for the static and vibration analysis of plates is presented in this paper. The method is based on the radial basis functions-QR (RBF-QR) algorithm. Static deformations and free vibration analysis of plates are obtained by Gaussian RBF-QR technique, previously proposed by Fornberg and Piret (2007) for interpolation problems. Circular and square plates are analyzed considering free-edge, simply-supported, and fully-clamped boundary conditions. The presented technique can be applied to any geometry and node sets embedded in the 2D unitary disk. The RBF-QR approach is stable for decreasing values of the shape parameter, corresponding to flat RBFs and the conversion to polar coordinates brings an extra improvement in precision. The method produces highly accurate displacements, natural frequencies, and modes of vibrations.

引用

页码：21 / 39

页数：19

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