本研究的目的是将能量辐射传递法(RETM)推广到三明治耦合板模型中。推导了三明治板的振动控制方程，获得结构的波传播特性参数。基于波法推导了三明治耦合板的能量传递系数。根据能量密度控制方程，得到能量密度和功率流强度的核函数。根据惠更斯原理，结构内部的能量可由实源辐射的直接场能量与边界虚源的反射场能量叠加得到。求解第二类Fredholm积分方程获得边界虚源的强度。数值算例结果与模态叠加和功率流分析(power flow analysis,PFA)对比，验证了所建模型的正确性和准确性。对L型耦合三明治板求解，获得其能量密度和功率流分布特征。
Abstract
The purpose of this study is to generalize the radiative energy transfer method (RETM) to the sandwich coupled plates model. The vibration governing equation of the sandwich plate is deduced, and the wave propagation characteristic parameters of the structure are obtained. Based on the wave method, the energy transfer coefficients of the sandwich coupled plates are deduced. According to the energy density governing equation, the kernel functions of energy density and power flow intensity are obtained. According to Huygens principle, the energy inside the structure can be obtained by the superposition of the direct field energy radiated by the real source and the reflected field energy radiated by the boundary virtual sources. The intensities of the boundary virtual sources are obtained by solving the Fredholm equation of the second type. Numerical results are compared with those of the modal superposition and power flow analysis (PFA) to verify the correctness and accuracy of the established model. By solving a coupled structure of L-shaped sandwich plates, we obtain its energy density and power flow distribution characteristics.
关键词
三明治板 /
能量辐射传递法 /
能量传递系数 /
能量密度 /
功率流
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Key words
sandwich plate /
radiative energy transfer method /
energy transfer coefficient /
energy density /
power flow
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