区间参数平面连续体结构频率非概率可靠性拓扑优化  

TOPOLOGY OPTIMIZATION OF PLANAR CONTINUUM STRUCTURES WITH INTERVAL PARAMETERS BASED ON NON-PROBABILISTIC RELIABILITY OF EIGENFREQUENCY

作　　者：崔明涛[1] 陈建军[1] 宋宗风[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《振动与冲击》2007年第8期55-59,71,共6页Journal of Vibration and Shock

基　　金：陕西省自然科学基金(2005A09);国防预研基金(51421060505DZ0155)项目资助

摘　　要：研究了具有区间参数的平面连续体结构在固有频率非概率基频约束和频率禁区约束下的拓扑优化设计问题。考虑结构弹性模量、质量密度和频率约束限具有区间不确定性,根据SIMP材料插值方法和区间变量运算法则,构建了基于频率非概率可靠性约束的弯曲薄板和平面应力薄板结构的拓扑优化数学模型表达式,并给出了进化优化准则。算例及其结果表明文中模型和方法的有效性。The topology optimization of planar continuum structures with interval parameters subjected to non-probabilistic constraints on fundamental eigenfrequency and the forbidden zone between two eigenfrequencies are studied. Considering the interval uncertainties regarding elasticity modulus, mass density and also constraints on concerned eigenfrequencies, and utilizing the method of SIMP material interpolation and the algorithm of interval variables, the mathematical formulations of optimal topology design of inflect sheet structures and plane stress sheet structures subjected to non-probabilistic reliability constraints of eigenfrequency are deduced. The evolutionary optimization iterative criterion is presented. Numerical examples and the results show the validity of the formulations proposed.

关 键 词：区间参数 平面连续体结构 频率约束 非概率可靠性 拓扑优化 

分 类 号：O327[理学—一般力学与力学基础]