高速流场中高频振动面板的能量辐射传递模型研究  

A study on the energy radiation transfer model for high frequency vibration panels in high-speed flow field

作　　者：王硕[1] 黄进安 代成浩 陈海波[1] WANG Shuo;HUANG Jin'an;DAI Chenghao;CHEN Haibo(CAS Key Laboratory of Mechanical Behavior and Design of Materials,Department of Modern Mechanics,University of Science and Technology of China,230027 Hefei,China)

机构地区：[1]中国科学技术大学近代力学系中国科学院材料力学行为与设计重点实验室,合肥230027

出　　处：《应用力学学报》2023年第1期57-65,共9页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.11772322);中国科学院战略性先导科技专项(B类)子课题(No.XDB22040502)。

摘　　要：为了考察高速流场对面板高频振动的影响,建立了高速流场环境中面板的能量辐射传递模型。针对高速流场环境中的二维面板,引入受高速流场影响的波数和群速度,建立了能量密度控制方程,推导了高速流场环境中面板的能量密度和能量强度的核函数。实源强度由导纳法计算得到的输入功率表示,虚源强度通过边界的能量平衡方程确定,根据惠更斯原理,板的能量响应由实源产生的直接场与虚源产生的反射场线性叠加得到。最后,通过将本研究所提能量辐射传递法(RETM)的计算结果与解析解对比,验证其正确性,同时分析了高速流场对板能量响应的影响。本研究为高速流场环境下飞行器面板的高频振动响应预测提供了一种有效的分析方法。In order to investigate the influence of high-speed flow field on high-frequency vibration of panels,a new energy radiation transfer model is established.For the two-dimensional panel in the high-speed flow field environment,the wave number and group velocity affected by the high-speed flow field are introduced,the energy density control equation is established,and the kernel functions of the energy density and energy intensity of the panel in the high-speed flow field environment are deduced.The real source strength is expressed by the input power calculated by the admittance method,and the virtual source strengths are determined by the energy balance equation at the boundary.According to Huygens principle,the energy response of the plate is obtained by the linear superposition of the direct field generated by the real source and the reflected field generated by the virtual sources.Finally,by comparing the results calculated by the proposed energy radiation transfer method(RETM)with the analytical solutions,the correctness of the proposed model is verified,and the influence of high-speed flow field on the energy response of panels is analyzed.This research presents an effective analysis method for the high frequency vibration estimation of the flight vehicle panels in high-speed flow field.

关 键 词：能量辐射传递模型 高速流场 高频振动 能量响应 

分 类 号：TB532[理学—物理]