基于拓扑优化方法的安静结构设计  

Quiet structure design based on topology optimization

作　　者：许智生[1] 黄其柏[1] 赵志高[2] 张潜 

机构地区：[1]华中科技大学数字制造装备与技术国家重点实验室,湖北武汉430074 [2]武汉第二船舶设计研究所,湖北武汉430064 [3]中国舰船研究所设计中心,湖北武汉430064

出　　处：《华中科技大学学报（自然科学版）》2010年第4期86-89,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：高等学校博士学科点专项科研基金资助项目(20070487403)

摘　　要：以结构表面辐射声功率最小为设计目标,以材料体积密度为设计变量,采用拓扑优化方法,研究复合材料安静结构设计方法问题.将结构辐射声功率表示为一个正定的厄米特二次型,从而将目标函数的灵敏度转化为结构的动力学灵敏度和阻抗灵敏度2部分.提出了一种扩展SIMP模型用于复合材料弹性结构的拓扑优化设计.数值结果表明,结构表面辐射噪声得到明显降低,拓扑优化方法能够很好地用于安静结构设计.Design of vibrating composite material was studied by using topology optimization,in which the design objective is to minimize sound power radiated from structural surface and volumetric densities of stiffer material are chosen as the design variables.The sound power is expressed as a positive definite quadratic form of the Hermitian.The sensitivity of the objective function is transformed into the sensitivity of dynamic and impedance matrix.An extended solid isotropic material with penalization model （SIMP） model is introduced for the topology optimization design of the composite material structures.Taking a simple supported thin plate as a simulation example,we have investigated that the sound power radiation from structures subjected to forced vibration can be considerably reduced.The quiet structure design can be achieved by topology optimization design.

关 键 词：拓扑优化 安静结构设计 声辐射 声功率 灵敏度分析 SIMP模型 

分 类 号：TH123.2[机械工程—机械设计及理论] TB535[理学—物理]