A new method for analytical solution of inplane free vibration of rectangular orthotropic plates based on the analysis of infinite systems

被引:6
作者
Papkov, S. O. [1 ]
机构
[1] Sevastopol State Univ, Dept Math, Sevastopol, Crimea, Ukraine
关键词
Free vibration; Method of superposition; Infinite system of linear equations; Rectangular orthotropic plate; EDGES;
D O I
10.1016/j.jsv.2016.01.025
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this paper, a new method for in-plane free vibration analysis of rectangular orthotropic plate is presented. The cases for completely clamped and completely free plates are considered in detail. The boundary value problem is essentially reduced to infinite systems of linear algebraic equations. New mathematical theory and associated results are presented for investigating the asymptotic behavior of non-trivial solution of quasi regular infinite system. By enhancing the theory, an effective and accurate algorithm for determining the natural frequencies and modes shapes vibrations is developed. The accuracy and computational efficiency of the method are demonstrated by examples. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:228 / 245
页数:18
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