CAJ | 학술논문

从全局搜索性出发,分析模型修正中所使用的常用优化方法的不足,进而提出基于遗传算法的模型修正方法.以工程设计中常用的变截面梁模型为例,推导截面为环形的平面弯曲梁单元的刚度矩阵,建立综合考虑结构固有频率和模态振型的目标函数.以一个30个节点的变截面梁有限元模型为例,采用遗传算法对模型进行优化,计算结果表明,优化后的模型频率与振型都与试验结果符合较好,验证了基于遗传算法的模型修正方法的可实现性.
종전국수색성출발,분석모형수정중소사용적상용우화방법적불족,진이제출기우유전산법적모형수정방법.이공정설계중상용적변절면량모형위례,추도절면위배형적평면만곡량단원적강도구진,건립종합고필결구고유빈솔화모태진형적목표함수.이일개30개절점적변절면량유한원모형위례,채용유전산법대모형진행우화,계산결과표명,우화후적모형빈솔여진형도여시험결과부합교호,험증료기우유전산법적모형수정방법적가실현성.
In this paper, the insufficiency of common optimization algorithms used in model updating is analyzed on the basis of global search, then, the method of model updating based on genetic algorithm is presented. By taking a non-uniform beam model commonly used in engineering for example, the stiffness matrices of the plane bending beam with annular section is deduced, the object function which considering structural natural frequencies and modal shapes is established. A non-uniform beam model with 30 nodes is updated by using genetic algorithm. The results show that the frequencies and vibration shapes of the optimized model are in good agreement with experimental data and the feasibility of the method is verified.