以动柔度为目标的结构阻尼材料层拓扑优化  

Topology optimization of damping layer in structures for minimizing dynamic compliance

作　　者：王睿[1] 张晓鹏[1] 亢战[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,大连116024

出　　处：《振动与冲击》2013年第22期36-40,共5页Journal of Vibration and Shock

基　　金：国家973项目(2010CB832703);国家自然科学基金项目(91130025;11072047)

摘　　要：为讨论附加阻尼材料层壳体结构在受简谐激励作用时阻尼材料最优分布,采用类似SIMP方法的人工阻尼材料模型构造拓扑优化模型。设计目标为给定阻尼材料用量最小化的结构动柔度,以阻尼材料相对密度作为设计变量。对结构呈现非比例阻尼特性,采用在状态空间下降阶后的复模态叠加法计算结构稳态响应及动柔度。优化过程中用伴随变量法对动柔度进行灵敏度分析。通过拓扑优化算例,验证所提模型及方法的合理性与有效性。Abstract： The optimal distribution of damping material in shell structures subjected to harmonic excitations was investigated by using the topology optimization method. Therein, an artificial damping material model with a similar fore1 to that of the SIMP approach was suggested. In the optimization model, the dynamic compliance of the structure was to be minimized under a given volume constraint of damping material and the relative densities of damping material were taken as design variables. A system reduction procedure was performed by using the eigenmodes of the undamped system. Since the damping was non-proportional, the steady-state response and dynamic compliance of the vibrating structure were calculated by using the complex mode superposition method in a state space. The analysis of the dynamic compliance sensitivity was implemented by using the adjoint cariable method. Numerical examples were presented to demonstrate the validity of the proposed method.

关 键 词：拓扑优化 动柔度 非比例阻尼 复模态叠加法 灵敏度分析 

分 类 号：TB535.1[理学—物理]