A hybrid wave propagation and statistical energy analysis on the mid-frequency vibration of built-up plate systems
A hybrid wave propagation and statistical energy analysis on the mid-frequency vibration of built-up plate systems
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DOI：
10.1016/j.jsv.2015.05.001
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发表时间：
2015-09-15
影响因子：
4.7
通讯作者：
Kennedy, David
中科院分区：
文献类型：
--
作者：
Ma, Yongbin;Zhang, Yahui;Kennedy, David
基于混合有限元（FE）分析和统计能量分析（SEA）的概念，针对由矩形薄板组成的系统的中频振动，开发了一种新的混合方法。采用基于辛分析的波传播方法来描述确定性板部件的振动。通过在连接界面处强制实施位移连续性和力的平衡，建立了由SEA描述的确定性板部件和统计板部件之间的动态耦合。此外，提出了由板构成的系统中频振动的混合求解公式。描述确定性板部件的辛分析波消除了传统解析波传播方法的边界条件限制，并克服了数值波传播方法的数值不稳定性。数值算例将所提方法的结果与混合FE - SEA方法和蒙特卡罗方法的结果进行了比较。比较结果表明，所提方法能在较短的计算时间内对所考虑系统的中频行为给出良好的预测。此外，当在垂直于波传播方向的直线上的不同位置施加外力时，可以发现系统耦合功率与板部件之间的能量差之间存在一个恒定的比例系数。基于这一发现，针对系统的能量响应开发了两种快速求解技术，并通过数值算例进行了验证。（C）2015 Elsevier Ltd.保留所有权利。
Based on the concept of the hybrid finite element (FE) analysis and statistical energy analysis (SEA), a new hybrid method is developed for the mid frequency vibration of a system comprising rectangular thin plates. The wave propagation method based on symplectic analysis is used to describe the vibration of the deterministic plate component. By enforcing the displacement continuity and equilibrium of force at the connection interface, the dynamic coupling between the deterministic plate component and the statistical plate component described by SEA is established. Furthermore, the hybrid solution formulation for the mid frequency vibration of the system built up by plates is proposed. The symplectic analytical wave describing the deterministic plate component eliminates the boundary condition limitation of the traditional analytical wave propagation method and overcomes the numerical instability of numerical wave propagation methods. Numerical examples compare results from the proposed method with those from the hybrid FE SEA method and the Monte Carlo method. The comparison illustrates that the proposed method gives good predictions for the mid frequency behavior of the system considered here with low computational time In addition, a constant proportionality coefficient between the system coupling power and the energy difference between the plate components can be found, when external forces are applied at different locations On a line perpendicular to the wave propagation direction. Based on this finding, two fast solution techniques are developed for the energy response of the system, and are validated by numerical examples. (C) 2015 Elsevier Ltd. All rights reserved.