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传递矩阵法常用于计算多跨转子的临界转速、振型及不平衡响应。由于计算机字长是有限的,从某些转速开始,所算得的振型会严重失真,剩余力矩也会出现不规则的跳动现象,从而使计算结果失败。本文分析了产生这一现象的原因,并提出了用校正矩阵法可以成功地补偿有效数字的损失。经过校正矩阵的修正,可使振型及剩余力矩的计算得到比较正确合理的结果,从而在计算机字长有限的条件下,可以用传递矩阵法计算跨数更多的轴系的高阶频率及振型。 本文还提出了一种中部余量法,在一定条件下也可以改善计算的结果。文章最后给出一个多跨轴的计算实例,从实例中可以看出传递矩阵法的失效及用校正矩阵法修正后的合理结果。 本文所提出的方法,对于用传递矩阵法计算诸如柔性转子的不平衡响应等振动问题时有参考意义。
Transfer matrix method is often used to calculate the critical speed, mode and unbalance response of multi-rotor. As computer word length is limited, starting from some speed, the calculated vibration mode will be seriously distorted, and the remaining torque will also appear irregular beating phenomenon, so that the calculation result fails. This paper analyzes the causes of this phenomenon and proposes that the correction matrix method can successfully compensate for the loss of significant digits. Through the correction of the correction matrix, the model and the residual moment can be calculated to get more correct and reasonable results. Thus, under the limited computer word length, transfer matrix method can be used to calculate higher order frequencies Mode shapes. This paper also proposed a middle margin method, which can improve the calculation results under certain conditions. Finally, a calculation example of multi-span axis is given. From the example, we can see the failure of the transfer matrix method and the reasonable result after being corrected by the correction matrix method. The method proposed in this paper is of great significance for the calculation of vibration problems such as the unbalance response of a flexible rotor using the transfer matrix method.