Dynamic stiffness formulation for composite Mindlin plates for exact modal analysis of structures. Part I: Theory
Dynamic stiffness formulation for composite Mindlin plates for exact modal analysis of structures. Part I: Theory
复制标题
DOI：
10.1016/j.compstruc.2012.01.002
复制
发表时间：
2012-04-01
影响因子：
4.7
通讯作者：
Banerjee, J. R.
中科院分区：
文献类型：
--
作者：
Boscolo, M.;Banerjee, J. R.
基于一阶剪切变形理论，给出了复合材料板平面自由振动和弯曲自由振动的动刚度公式。给出了动力刚度矩阵的显式表达式。考虑了不同边界条件下的板。建立了元件的旋转矩阵和偏移矩阵，并给出了装配技术。对Wittrick和Williams算法进行了改进，避免了在求解自由振动问题时计算夹固固有频率的麻烦。本文第二部分阐述了该理论的验证及其在实际结构中的应用。(C) 2012 Elsevier Ltd.版权所有。
The dynamic stiffness formulation for both inplane and bending free vibration based on the first order shear deformation theory for composite plates is presented. The explicit terms of the dynamic stiffness matrices are also given. Plates with different boundary conditions are considered. Rotation and offset matrices for the element are developed and an assembly technique given. The Wittrick and Williams algorithm is modified to avoid the troublesome computation of the clamped-clamped natural frequencies when solving the free vibration problem. The validation of the theory and its application to real structures are illustrated in the second part of this paper. (C) 2012 Elsevier Ltd. All rights reserved.