Free vibration analysis for plates with arbitrary boundary conditions using a novel spectral-dynamic stiffness method

被引：103

作者：

Liu, X. ^{[1
]}

Banerjee, J. R. ^{[1
]}

机构：

[1] City Univ London, Sch Math Comp Sci & Engn, London EC1V 0HB, England

来源：

COMPUTERS & STRUCTURES | 2016年 / 164卷

基金：

英国工程与自然科学研究理事会;

关键词：

Spectral-dynamic stiffness method; Free vibration of plates; Arbitrary boundary conditions; Wittrick-Williams algorithm; Analytical methods; RAYLEIGH-RITZ METHOD; ORTHOTROPIC RECTANGULAR-PLATES; SYMPLECTIC ELASTICITY APPROACH; PARTIAL-DIFFERENTIAL-EQUATION; COMPOSITE MINDLIN PLATES; EXACT SERIES SOLUTION; EXACT MODAL-ANALYSIS; PART I THEORY; NATURAL FREQUENCIES; FLEXURAL VIBRATION;

D O I：

10.1016/j.compstruc.2015.11.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An exact method for free vibration analysis of plates with arbitrary boundary conditions is presented. This is achieved by integrating the spectral method into the classical dynamic stiffness method. The formulation satisfies the governing differential equation exactly and any arbitrary boundary conditions are satisfied in a series sense. The Wittrick-Williams algorithm is enhanced with several elegant techniques to obtain solutions. The exactness and computational efficiency of the method are demonstrated by comparing results obtained from other methods. Finally, mathematical and physical insights are gained and significant conclusions are drawn for various analytical methods for free vibration analysis of plates. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：108 / 126

页数：19

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