一端固定一端自由的受压杆件的拓扑优化  

Topology Optimization of One End Fixed and The Other Free Compressed Bar

作　　者：宋其伟 边炳传[2] 

机构地区：[1]山东泰安恒基置业发展有限公司,山东泰安271000 [2]泰山学院建筑与机械工程系,山东泰安271021

出　　处：《泰山学院学报》2011年第3期84-87,共4页Journal of Taishan University

摘　　要：建立一端固定一端自由受压杆件的三雏模型；运用独立、连续、映射的方法建立以结构重量为目标，以屈曲临界力为约束的拓扑优化模型；借助泰勒展式、过滤函数及瑞利商将模型作近似处理，避免了灵敏度的计算；并利用序列二次规划对一端固定一端自由的受压杆件模型进行求解，并且验证了受压杆件折算为两端铰支压杆的长度系数；为工程师在受压杆件设计中提供了最优结构．In this paper, the three - dimensional model of a compressed bar which one end fixed and the other free is built based on the software Patran. According to the independent、 continuous 、 mapping method, the topology optimization mathematical model for the continuum structure is constructed, which minimized weight as the objective function has subjected to the buckling constraints. Based on the Taylor expansion, the filtering function and the Rayleigh quotient, the objective function and the buckling constraint are approximately expressed as the explicit function. Thus the analysis of the sensitivity is avoided. The optimization model is translated into a dual programming and solved by the sequence second - order programming. Finally, the compressed bar verified the length coefficient which is converted into stability bar hinged at both ends, identified the location of bottlenecks in topological structures. According to the results, more reasonable topological structures were given.

关 键 词：屈曲临界力 拓扑优化 屈曲约束 

分 类 号：TB121[理学—工程力学]