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在对多自由度机械系统进行动力分析时,需要计算多自由度无阻尼系统的自振频率(特征值)及振型(特征向量)。这种计算是比较繁琐的,迄今已发展了十余种方法。本文采用经过作者改进后的雅可此法——限值定循环雅可比法,并应用FORTRAN—Ⅳ编制了CAD程序。这个方法的特点是可以同时计算出全部频率与振型,适应性较强(例如在遇到零频率或另元素时不需要作特殊处理),运算速度较快。该程序已在CROMEMCO M—5微型机上调试通过。
In the dynamic analysis of a multi-degree-of-freedom mechanical system, the natural frequency (eigenvalue) and mode shape (eigenvector) of the multi-degree-of-freedom undamped system need to be calculated. This calculation is rather tedious and more than a dozen methods have been developed so far. In this paper, we use Jacques method-limit cycle-based Jacobi method which was improved by the author, and compiled CAD program with FORTRAN-Ⅳ. This method is characterized by the simultaneous calculation of all frequencies and modes, adaptability (for example, in the face of zero frequency or other elements do not need special treatment), computing speed. This program has been debugged on the CROMEMCO M-5 microcomputer.