The plate-type structures are classical configurations in many engineering applications. A comprehensive understanding of the structural dynamic mechanisms is of great significance. An analytical modeling approach is established and applied to investigate the dynamic characteristics of a plate system. The model encompasses two parallel elastically restrained rectangular plates coupled through mechanical links. The linear stiffness parameters are used to simulate various structural boundary conditions and mechanical links. The wave propagation of the plate structure is considered based on the improved Fourier series method. And the theoretical formulations for the dynamic performance of the plate system are obtained by employing the energy principle and Rayleigh–Ritz method. The stability and efficiency of the proposed model are firstly validated for the plate system with classical boundary conditions by comparing the results obtained from FEM software. Subsequently, the boundary restraining parameters are analyzed to figure out their effects on the modal characteristics of the plate system. In addition, the influence of mechanical link distributions on the forced response properties of the plate system is presented and discussed. Numerical results show that the importance of both the boundary conditions and the mechanical link distributions on the dynamic behavior of the plate system. The obtained results of the dynamic investigation and parametric analysis of the plate system can be useful for the further work of vibration and noise control technology of engineering applications.

中文翻译：

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两平行矩形板耦合机械连杆的动力分析

板式结构是许多工程应用中的经典配置。全面了解结构动力机制具有重要意义。建立并应用分析建模方法来研究板系统的动态特性。该模型包含两个通过机械连接耦合的平行弹性约束矩形板。线性刚度参数用于模拟各种结构边界条件和机械连接。基于改进的傅里叶级数方法考虑板结构的波传播。并利用能量原理和瑞利-里兹方法得到了板系统动态性能的理论公式。通过比较有限元软件的结果，首先验证了具有经典边界条件的板系统模型的稳定性和效率。随后，对边界约束参数进行分析，以确定它们对板系统模态特性的影响。此外，还介绍并讨论了机械连接分布对板系统受迫响应特性的影响。数值结果表明，边界条件和机械连接分布对板系统动力学行为的重要性。得到的板系统动力学研究和参数分析结果可为工程应用中振动与噪声控制技术的进一步工作提供参考。