摘要
对具有随机参数的连续结构进行了基于热可靠性的导热拓扑优化研究。在连续体结构的热分析中将导热系数、内热源以及边界给定温度分布函数的幅值等均视为随机参数。导出了结构随机温度场的数字特征,定义了以温度随机变量不超越其临界值的热可靠性,建立了以结构总散热弱度均值最小化为目标函数、以给定热可靠度和体积比为约束函数的结构拓扑优化模型。对热可靠性概率约束函数进行了等价显式化处理,并利用移动渐进拓扑优化方法对优化模型求解。通过两个算例证明,该优化模型具有合理性,对其求解的方法是有效的。
The study aimed to optimize the heat conduction topology of continuous structures with random parameters based on thermal reliability. In the thermal analysis of a continuum structure, the coefficient of thermal conductivi- ty, the intensity of internal heat source and the amplitude of distribution function for given boundary temperature were treated as random parameters. The numeric characteristic of the structural random temperature field was de- rived, and the thermal reliability definition was given, according to which random temperature variables can not ex- ceed their critical values. The topology optimization model of the structure was built, in which minimizing the mean value of heat dissipation is taken as the objective function, and the given thermal reliability and the structural vol- ume ratio as the constraints. The probability constraint function of thermal reliability was transformed into an explic- it function which can simplify the topology model. The method of moving asymptotes was used to solve this topology optimization problem. Some examples verified the effectiveness and feasibility of the proposed method.
出处
《高技术通讯》
CAS
CSCD
北大核心
2013年第2期214-218,共5页
Chinese High Technology Letters
基金
国家自然科学基金(50905134)
中央高校基本科研资金(JY10000904012)资助项目
关键词
随机
热传导
可靠性
拓扑优化
移动渐进法(MMA)
random, heat conduction, reliability, topology optimization, method of moving asymptotes （MMA）
