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设计相关动压力作用下连续体结构拓扑优化
引用本文:张晖,刘书田,张雄.设计相关动压力作用下连续体结构拓扑优化[J].机械强度,2009,31(4).
作者姓名:张晖  刘书田  张雄
作者单位:大连理工大学,工程力学系,工业装备结构分析国家重点实验室,大连,116024
基金项目:国家自然科学基金,国家重点基础研究(973)计划,教育部新世纪优秀人才支持计划 
摘    要:针对动压力作用下连续体结构拓扑优化问题,文中以结构动柔顺度为目标,以材料体积为约束,建立拓扑优化模型.该优化问题作为一般动力学拓扑优化问题的延伸,其动压力载荷不仅随着时间简谐变化,而且随着结构拓扑和形状的变化而改变力的作用点和方向.文中提出一种基于单元的边界搜索方法,简便而准确地获得优化过程中的压力加载边界.同时采用RAMP(rational approximation of material properties)方法消除局部模态现象.数值算例表明,采用这种新的边界搜索方法,结合RAMP方法处理此类问题是有效的.

关 键 词:拓扑优化  连续体结构  设计相关载荷  表面动压力  边界识别  谐响应

TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES WITH DESIGN-DEPENDENT TIME-HARMONIC HYDRODYNAMIC SURFACE PRESSURE
ZHANG Hui,LIU ShuTian,ZHANG Xiong.TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES WITH DESIGN-DEPENDENT TIME-HARMONIC HYDRODYNAMIC SURFACE PRESSURE[J].Journal of Mechanical Strength,2009,31(4).
Authors:ZHANG Hui  LIU ShuTian  ZHANG Xiong
Affiliation:State Key Laboratory of Structural Analysis for Industrial Equipments;Department of Engineering Mechanics;Dalian University of Technology;Dalian 116024;China
Abstract:Topology optimization of continuum structures subjected to hydrodynamic surface pressure loading was studied. The problem is an extension of the traditional topology optimization. The pressure loading not only varies harmonically with time,but also depends on the design itself,i.e. the direction,location and magnitude of the loads may change with the topology and shape of the structures changes. The design objective was to minimize the dynamic compliance of the structures with the constraint on the total st...
Keywords:Topology optimization  Continuum structure  Design-dependent loads  Hydrodynamic surface pressure  Boundary identification  Harmonic excitation response  
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