基于变密度法的约束阻尼结构拓扑优化研究  

Research on Topology Optimization of Constrained Layer Damping Structure with Variable Density Method

作　　者：徐金府 周青山 栾福强 Xu Jinfu;Zhou Qingshan;Luan Fuqiang(School of Mechanical Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学机械工程学院,上海市200093

出　　处：《农业装备与车辆工程》2023年第1期108-112,共5页Agricultural Equipment & Vehicle Engineering

摘　　要：约束阻尼结构拓扑优化是轻量化设计要求下实现噪声与振动控制的关键技术。采用有限元方法建立约束阻尼结构的动力学有限元模型。基于实体各向同性材料惩罚(SIMP)插值方法,以模态损耗因子最大化为目标,约束阻尼材料用量为约束,构建约束阻尼结构的拓扑优化模型。利用伴随向量法推导了目标函数对设计变量的灵敏度,通过优化准则法对优化模型进行求解。数值结果表明:优化后约束阻尼板结构的模态损耗因子提高比基本在50%以上,且振动振幅值有明显抑制。Topology optimization of CLD structures is a key technology to achieve noise and vibration control under the requirements of lightweight design. The finite element method is used to establish the dynamic model of the CLD structure. Based on the SIMP interpolation method, the modal loss factor is maximized as the goal, and the volume of CLD material is used as the constraint to construct the topology optimization model of the CLD structure. The adjoint vector method is used to deduce the sensitivity of the objective function to the design variables, and the optimality criteria method is used to update the design variables to solve the optimization model.Numerical results show that after optimization, the modal loss factor of the CLD plate structure is increased by more than 50%, and the vibration amplitude value is significantly suppressed.

关 键 词：变密度法 约束阻尼结构 拓扑优化 模态损耗因子 优化准则法 

分 类 号：U465[一般工业技术—材料科学与工程]