基于l_1范数最小化的水下圆柱壳振动声辐射预报  

Prediction of vibration and sound radiation of underwater cylindrical shells based on l_1-norm minimization

作　　者：叶珍霞[1] 杜堃[2] 邱昌林[2] 陈乐佳[2] 谢坤[3] 

机构地区：[1]海军装备部驻武汉地区军事代表局,湖北武汉430064 [2]中国舰船研究设计中心,湖北武汉430064 [3]华中科技大学船舶与海洋工程学院,湖北武汉430074

出　　处：《中国舰船研究》2015年第3期70-76,83,共8页Chinese Journal of Ship Research

基　　金：国家部委基金资助项目

摘　　要：基于模态叠加理论,将圆柱壳结构在流体中的响应以真空中振动模态形式展开,通过测点振动速度和模态矩阵建立以模态参与系数为未知量的欠定方程组。利用结构中低频段振动对应的模态参与系数的稀疏特性,采用l1范数最小化法求解基于测点振动所建立的欠定方程组,得到模态参与系数,从而重构结构振动速度场,最终采用边界元法进行声辐射预报。通过单层圆柱壳振动与声辐射实验结果和预报结果进行对比,验证了该预报方法的正确性。在此基础上,研究基于布置在内壳上的测点振动速度重构双层圆柱壳体结构振动和实现辐射噪声评估的可行性,并初步研究了测点数目和位置对预报精度的影响。Based on the theory of the superposition method, the vibration response field of a cylindricalshell loaded with fluid is expanded using the dry modes; then, the underdetermined system of equations interms of the velocity of sensors, mode matrix, and unknown participating coefficients of the correspondingmodes are established. Under the condition where the participating coefficients of modes are spare in themedium and low frequency range, the underdetermined system of equations can be solved using l1-normminimization method. After the vector of the participating coefficients of modes is obtained, the response dy-namic field can be reconstructed, with the sound radiation being predicted by using the boundary elementmethod. Comparing the predicted results of a single cylindrical shell with experimental results, the presentmethod is validated. Moreover, for double cylindrical shells, the approach of using only the reconstructivevibration response field of inner shell to predict sound pressure is feasible, and the effects of the numberand position of sensors on prediction results are also discussed.

关 键 词：模态叠加法 l1范数最小化 振动重构 声辐射预报 圆柱壳 

分 类 号：U661.44[交通运输工程—船舶及航道工程]