CAJ | 학술논문

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．
건립일단고정일단자유수압간건적삼추모형；운용독립、련속、영사적방법건립이결구중량위목표，이굴곡림계력위약속적탁복우화모형；차조태륵전식、과려함수급서리상장모형작근사처리，피면료령민도적계산；병이용서렬이차규화대일단고정일단자유적수압간건모형진행구해，병차험증료수압간건절산위량단교지압간적장도계수；위공정사재수압간건설계중제공료최우결구．
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.