分层有限元模型下层合板声功率优化设计  

Optimal design of acoustic power of laminated composite plate based on layer-wise FEM

作　　者：吴锦武[1] 彭文辉[1] 赵飞[1] 

机构地区：[1]南昌航空大学飞行器工程学院,南昌330063

出　　处：《振动与冲击》2015年第16期85-89,146,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(51265038);航空科学基金资助项目(2011ZA56002)

摘　　要：基于遗传算法对层合板结构辐射声功率最小化进行铺设角优化;利用分层有限元模型求解层合板固有频率及振速分布;通过声辐射模态理论计算结构辐射声功率。以铺设角作为设计变量、辐射声功率作为优化变量,分别以某4层、8层层合板结构为例,研究不同频率时声功率最小化对应的优化铺设角。数值分析结果表明,在同一优化铺设角下,优化后第一阶声功率与辐射总声功率差别不大;对相同层合板结构而言,随频率增加声功率优化量增大;相同厚度下层合板铺设层越多声辐射功率优化量越小。An optimization method to minimize the sound power of laminated composite plate based on genetic algorithm was presented. A layerwise finite element model was imposed to determine the natural frequencies and velocity distributions of laminated composite plates. Based on the theory of acoustic radiation mode, the radiated sound power was calculated. A four-layer and an eight-layer laminated plate were used as examples, the fiber orientation angles were taken as design variables and the minimization of sound power was chosen as design objective. The optimal orientation angles to achieve sound power minimization were discussed under different frequencies. The numerical simulations show that the first order sound power and the total sound power are basically identical under the same optimum orientation angle. For laminated composite plates with the same structure, the optimal amount of radiated sound power increases with the increase of vibration frequency. And for laminated composite plates, with the same thickness, the optimal amount of radiated sound power is smaller, the more the layer number of the plate.

关 键 词：遗传算法 声功率 分层有限元 复合层合板 

分 类 号：TB332[一般工业技术—材料科学与工程] TH113.1[机械工程—机械设计及理论]