多支承转子系统辛空间传递矩阵法及应用

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摘要由变分原理出发，引入对偶变量，将多支承转子系统导入辛体系，推导出转子系统在辛空间中的传递辛矩阵格式,体现了保辛的性质。建立多支承转子系统模型，运用MATLAB对模型进行计算分析，求得固有频率等模态参数，计算结果与有限元方法计算值相吻合。通过与传统方法的计算结果比较证明了该计算方法的有效性。求解得到转子系统各阶临界转速，探讨了支承刚度的改变对转子各阶临界转速的影响，为多支承转子系统的优化设计提供了依据参考。

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	张娟娟1
	崔升1
	冯永新2

关键词 ：转子系统, 辛空间, 传递矩阵, 应用

Abstract：Based on the variational principle, dual variables were introduced, and the multi-support rotor system was imported into symplectic space. Symplectic transfer matrix in symplectic space was presented for the rotor system, it reflect the symplectic conservation property. Model of the rotor system was built, MATLAB was used to analyze this model. Natural frequency and other modal parameters were obtained, and the calculated values were consistent with the values calculated by the finite element method. Effectiveness of the method presented in this paper are confirmed by comparing the results with traditional methods. After large amount of calculations the critical speeds were obtained. The relationship between the critical speeds and support stiffness was studied, it provides reference for the optimization of the rotor system.

Key words： rotor system symplectic space transfer matrix application

收稿日期: 2016-10-12 出版日期: 2017-08-15

引用本文:

张娟娟1,崔升1，冯永新2. 多支承转子系统辛空间传递矩阵法及应用[J]. 振动与冲击, 2017, 36(16): 32-36.
Zhang Juanjuan1, Cui Sheng1, Feng Yongxin2. Transfer matrix method for multi-support rotor system in symplectic space and its application. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(16): 32-36.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2017/V36/I16/32

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