三明治耦合板的能量辐射传递模型  

Energy radiation transfer model of sandwich coupled plate

作　　者：代成浩 钟强 黄进安 王硕[1] 陈海波[1] DAI Chenghao;ZHONG Qiang;HUANG Jin’an;WANG Shuo;CHEN Haibo(CAS Key Laboratory of Mechanical Behavior and Design of Materials,Department of Modern Mechanics,University of Science and Technology of China,Hefei 230026,China)

机构地区：[1]中国科学技术大学近代力学系材料力学行为与设计重点实验室,合肥230026

出　　处：《振动与冲击》2023年第9期86-94,144,共10页Journal of Vibration and Shock

基　　金：国家自然科学基金(11772322);中国科学院战略性先导科技专项(B类)子课题(XDB22040502)。

摘　　要：该研究的目的是将能量辐射传递法(radiative energy transfer method,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。Here,the radiative energy transfer method(RETM)was extended to sandwich coupled plate model.The vibration governing equation of sandwich plate was derived,and the wave propagation characteristic parameters of the structure were obtained.Based on the wave theory,the energy transfer coefficient of sandwich coupled plate was derived.According to the energy density control equation,kernel functions of energy density and power flow intensity were obtained.According to Huygens principle,energy inside structure could be obtained by superposition of the direct field energy of real source radiation and the reflected field energy of boundary virtual source.The intensity of boundary virtual source was obtained by solving the second kind of Fredholm integral equation.The numerical example results obtained using this model were compared with those obtained using modal superposition and power flow analysis(PFA)to verify the correctness and accuracy of the established model.The energy density and power flow distribution characteristics of L-type sandwich coupled plate were obtained by solving this problem.

关 键 词：三明治板 能量辐射传递法(RETM) 能量传递系数 能量密度 功率流 

分 类 号：TB533[理学—物理]