系统动态响应的算法研究

来源期刊：中南大学学报(自然科学版)1989年第4期

论文作者：吴运新 钟掘

文章页码：428 - 435

关键词：动态响应； 转移函数矩阵； 算法

Key words：dynamic response； transfer function matrix； algorithm

摘    要：本文开发了多自由度线性离散系统受外激励响应的直接积分方法。对常见的外激励,给出了其系统响应的解析式。针对矩阵指数函数物理含义不明显,用跳乘和迭代方法解决了响应过程数值计算的速度问题。计算机运算表明,本法的运算速度较之于龙格-库塔法快三倍以上。

Abstract: In this paper a direct integration method has been developed for the solution of the responseto external exciting of discrete linear system with multi degrees of freedom, which is more or lesslike the Duhamel integration in one degree of freedem system. With this method, the computationof the frequencies and vibrational patterns of system is not needed and the algebraic solutions canbe gained for the common external excitings. The method presented in this paper can also directly be used for the solution of first orderdifferential equation groups.