A novel Lévy series for developing a dynamic stiffness matrix for a completely free orthotropic Kirchhoff plate is presented in this paper. The bending behavior is based on the Kirchhoff–Love thin-plate theory. The dynamic stiffness matrix is derived using the new Lévy series without classical symmetry decomposition, simplifying the building procedure. Harmonic responses obtained by this method and the finite element method are compared to establish the rate of convergence and the degree of precision of the current formulation.

中文翻译：

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动态刚度方法：具有自然边界条件的正交各向异性板单元的 New Levy 级数

本文提出了一种新的 Lévy 系列，用于开发完全自由正交各向异性 Kirchhoff 板的动态刚度矩阵。弯曲行为基于 Kirchhoff-Love 薄板理论。动态刚度矩阵是使用新的 Lévy 级数推导出来的，没有经典的对称分解，简化了构建过程。将通过该方法和有限元方法获得的谐波响应进行比较，以确定当前公式的收敛速度和精确度。