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本文在解结构固有动力特性的经典乘幂法的基础上,利用方程相似性将动力问题转化为当量静力问题处理。提出了两种新方法即联立共轭斜量迭代法与联立消去迭代法。并将逐次求解结构各低阶振形与频率的乘幂法推广为同时求解几个低阶特征值与特征矢量的联立迭代法。此外,利用矩阵运算从理论上证明了算法的收敛性。由于将动力问题转化为静力问题处理,故能解决大规模的动力问题。
Based on the classical power law of inherent dynamic characteristics of structures, this paper transforms the dynamical problems into equivalent static problems by using the similarity of equations. Two new methods, namely the simultaneous conjugate slant-interval iteration method and the simultaneous elimination iteration method, are proposed. In addition, a series of iterative methods to solve several low-order eigenvalues and eigenvectors simultaneously are proposed. In addition, the convergence of the algorithm is theoretically proved by matrix operation. Due to the power problems into static problems, it can solve large-scale power problems.