谐和激励下的连续体结构拓扑优化  

On Topology Optimization of Continuous Structures under Harmonic Excitation

作　　者：徐斌[1] 管欣[1] 荣见华[2] 

机构地区：[1]西北工业大学振动工程研究所,陕西西安710072 [2]长沙理工大学,湖南长沙410076

出　　处：《西北工业大学学报》2004年第3期313-316,共4页Journal of Northwestern Polytechnical University

基　　金：国家自然科学基金 (10 0 72 0 5 0 );西北工业大学博士论文创新基金 (CX2 0 0 2 36 )资助

摘　　要：在 ESO方法的基础上研究了谐和激励下连续体结构的拓扑优化问题。利用模态截断的方法和一些近似手段建立了结构的动响应表达式 ,并依此提出了结构优化设计评价的性能指标。采用一定的优化准则和进化优化步骤完成优化过程。算例结果表明了所提方法的有效性和合理性。In recent years, the evolutionary structural optimization (ESO) method has been developed into an effective tool for engineering design. However, no attempt has been made to incorporate dynamic response constraints of structures subjected to harmonic excitations. We extend and modify the ESO method to control the dynamic responses of structures under harmonic excitations. Based on the structural modal truncation method and some approximate process, an expression of dynamic response of a structure under harmonic excitations considering engineering requirements is formed. A performance index is proposed for the optimal process where structural elements are removed so as to minimize the change of the response amplitude of the corresponding degree of freedom. Thus the optimization model with dynamic response constraints and an optimal criterion are formulated. The optimal steps of topology optimization of continuous structures under dynamic response constraints are introduced. The algorithm has been implemented in an optimization software by evolutionary optimization procedure. A numerical example is provided to demonstrate the validity and effectiveness of the proposed method.

关 键 词：拓扑优化 ESO方法 连续体结构 谐和激励 

分 类 号：O327[理学—一般力学与力学基础]