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首页> 外文期刊>International journal of mechanics and materials in design >Dynamic stiffness formulation for transverse and in-plane vibration of rectangular plates with arbitrary boundary conditions based on a generalized superposition method
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Dynamic stiffness formulation for transverse and in-plane vibration of rectangular plates with arbitrary boundary conditions based on a generalized superposition method

机译：基于通用叠加法的任意边界条件具有矩形板横向和面内振动的动态刚度制剂

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摘要

Dynamic stiffness formulation is proposed in this paper for both transverse and in-plane vibration of rectangular plates that account for arbitrary boundary conditions. A generalized superposition method is developed to obtain the homogeneous solutions for the governing equations of both transverse and in-plane vibration. Consequently, the dynamic stiffness matrices are formed in a more straightforward way by projection method, the dimensions of which are greatly reduced in comparison with those from the conventional Gorman's superposition method. The finite element technique is utilized to assemble local stiffness matrix into global coordinates so as to address the dynamics of plate assemblies. Various types of plate-like structures are investigated by the proposed method, through which excellent agreement is found between our results and those from finite element method. The effectiveness, accuracy and convergence of the proposed DSM for both transverse and in-plane vibration are proved in several numerical examples, which demonstrates the proposed DSM is an excellent alternative to the existing DSM.
机译：本文提出了动态刚度制剂，用于矩形板的横向和面内振动，该矩形板占任意边界条件。开发了广义的叠加方法，以获得横向和面内振动的控制方程的均匀解。因此，通过投影方法以更直接的方式形成动态刚度矩阵，与传统的Gorman的叠加方法的那些相比，其尺寸大大降低。有限元技术用于将局部刚度矩阵组装成全局坐标，以解决板组件的动态。通过所提出的方法研究了各种类型的板状结构，通过我们的结果与来自有限元方法的结果相协议。在若干数值例子中证明了横向和面内振动的所提出的DSM的有效性，准确性和收敛，其演示了所提出的DSM是现有DSM的优异替代品。

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