以代数方法探讨结构系统再设计问题

Dynamic Analysis of Redesigned Systems Using an Algebraic Method

利用矩阵修改理论探讨结构系统再设计问题,以等惯性转换求解动态劲度矩阵的隐根,并导出将特征值定位的计算方法;继而在隐根为已知下探讨隐向量的特质及解法,并确认修改后结构的振型必须区分成驻留性与非驻留性自然频率等两种状况处理.

By matrix modification, the redesign of a structural system was investigated. The inertia congruence transformation was adopted to find the latent roots of a dynamic stiffness matrix, and a method for determining its eigenvalue was proposed. The characteristics of the latent vector for a known latent root, and a method for computing it, were studied. The mode shapes of a redesigned structure must be handled differently based on whether the structure exhibits are persistent or non-persistent natural frequencies.