基于傅里叶级数展开的多跨耦合板功率流研究

提出了一种基于傅里叶级数展开求解水平多跨耦合板振动响应的解析方法。建立了多跨耦合板模型，使用傅里叶级数对单点激励力和未知耦合弯矩进行了表达，并利用耦合边的角速度连续性条件，实现了耦合边耦合弯矩的求解以及各子板任意点响应的计算。根据功率流理论，得到了激励点输入功率流以及各耦合边传递功率流的计算公式。取三跨耦合板模型作为理论仿真对象，使用ANSYS有限元软件验证了理论模型的正确性。利用获得的理论模型，分析了阻尼和激励点位置对结构输入和传递功率流的影响，结果表明对激励板进行阻尼处理以及在板的中心位置激励，能有效抑制结构功率流的输入和传递。

Power flow analysis of multi-span coupled plates using Fourier expansion

An analytical method which calculates the vibration response of multi-span coupled plates using Fourier expansion is proposed. Multi-span coupled plates model was built, the Fourier expansion of the point excitation force and the unknown coupling moment was obtained, based on angular velocity continuity condition on coupling sides, the coupling moment could be achieved, and then it is convenient to solve the vibration response of all plates. According to power flow theory, the expression of input power flow through excitation point and transferred power flow through coupling sides was deduced. Three-span coupled plates model was treated as the theoretical simulation object, and checked by the finite element software ANSYS. Using the theoretical modal, the effect of damping and excitation location on input and transferred power flow was considered. The results indicated that damping-treatment on excited plate and exciting the center of plate could availably reduce the input and transferred power flow.