An exact spectral-dynamic stiffness method for free flexural vibration analysis of orthotropic composite plate assemblies - Part I: Theory
An exact spectral-dynamic stiffness method for free flexural vibration analysis of orthotropic composite plate assemblies - Part I: Theory
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DOI：
10.1016/j.compstruct.2015.07.020
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发表时间：
2015-11-15
影响因子：
6.3
通讯作者：
Banerjee, J. R.
中科院分区：
文献类型：
--
作者：
Liu, X.;Banerjee, J. R.
本文提出了一种适用于一般正交各向异性复合材料类板结构自由振动精确分析的谱动刚度法。该方法结合了经典动力刚度法（DSM）和谱法的优点，类似于有限元法和边界元法。该公式基于控制微分方程的精确通解，为描述任意边界条件提供了完全的灵活性。动态刚度公式基本上是通过混合变量方法以符号形式完成的，明确的表达式呈现物理意义。然后描述了在任意边界约束下板组件的系统程序。最后，提出了一套解决全夹持板问题的新技术来改进Wittrick Williams算法。该理论的验证及其在广泛的工程结构中的应用在这两部分的论文的第二部分中得到了证明。(C) 2015 Elsevier Ltd.版权所有。
A spectral-dynamic stiffness method (S-DSM) for exact free vibration analysis of general orthotropic composite plate-like structures is presented in the paper. The method combines the advantages of the classical dynamic stiffness method (DSM) with those of the spectral method, and it resembles the finite element and the boundary element methods. The formulation is based on the exact general solution of the governing differential equation, which provides complete flexibility to describe any arbitrary boundary conditions. The dynamic stiffness formulation is essentially accomplished through a mixed-variable approach in a symbolic form with explicit expressions rendering physical meanings. Then a systematic procedure for plate assemblies under arbitrary boundary constraints is described. Finally, a set of novel techniques are proposed to enhance the Wittrick Williams algorithm by resolving the fully-clamped plate problem. The validation of the theory and its applications to a wide range of engineering structures are demonstrated in Part II of this two-part paper. (C) 2015 Elsevier Ltd. All rights reserved.