改进整体传递矩阵法计算复杂转子系统临界转速

Application of the Improved Whole Transfer Matrix Methodto the Calculation of Complex Rotor Critical Speed

提出了一种基于整体传递矩阵法的改进传递矩阵法。新方法将Riccati变换及奇点消除方法应用于整体传递矩阵方程,导出了耦合单元和非耦合单元的Riccati传递矩阵计算公式。这种方法克服了传统传递矩阵法的缺点,易于开发通用计算程序。文末给出了数值算例,计算结果表明了该方法的有效性和正确性。

A new method based on the whole transfer matrix method (WTMM) was proposed. The Riccati transformation and singularity elimination were applied to the whole transfer matrix equation, and the formula of Riccati transfer matrix of coupling element and non-coupling element was derived. This improved method can avoid drawbacks of traditional method, and it is easy to develop a general computer program. Finally, a numerical example was given. The results show that the method is effective and accurate.