考虑陀螺效应的转子动力学相似准则

王永亮; 孙立权; 崔颖; 韩聿

doi:10.13224/j.cnki.jasp.2015.12.004

考虑陀螺效应的转子动力学相似准则

doi: 10.13224/j.cnki.jasp.2015.12.004

1. 大连海事大学轮机工程学院, 大连 116026;
2. 哈尔滨电气集团哈尔滨汽轮机厂有限责任公司, 哈尔滨 150046

基金项目:

国家自然科学基金(51436002,11102050)

中央高校基本科研业务费专项资金(3132015026).

详细信息

作者简介:
王永亮(1983-),男,甘肃庆阳人,讲师,博士,主要从事转子动力学和旋转机械振动的研究.E-mail:wangyl@dlmu.edu.cn

中图分类号: V228.5;TB123
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出版历程
- 收稿日期: 2015-02-03
- 刊出日期: 2015-12-28

Dynamics similarity criteria of rotor dynamic with gyroscopic effect

1. Marine Engineering College, Dalian Maritime University, Dalian 116026, China;
2. Harbin Turbine Company Limited, Harbin Electric Corporation, Harbin 150046, China

摘要

摘要: 针对考虑陀螺力矩的转子系统缩尺相似模型与原型是否满足动力学相似的问题,采用量纲分析法推导了考虑陀螺力矩的转子-简单支撑系统相似准则,得到了模型与原型各物理量相似比.通过求解不同相似比下Jeffcott转子系统临界转速的解析解,和利用有限元软件ANSYS对某转子系统临界转速和振型相似性进行了数值模拟,验证了所推导的考虑陀螺力矩转子系统相似准则的正确性.研究表明:考虑陀螺力矩、简单支撑和Rayleigh比例阻尼的转子系统,在相似转速下缩尺模型与原型的固有频率具有相似性,并且临界转速相似.
- 转子动力学 /
- 陀螺效应 /
- 动力学相似 /
- 固有频率 /
- 临界转速
Abstract: In order to study the dynamics similarily of actual rotor system with gyroscopic effect similar to the corresponding scaled model, the dynamic similarity criteria for rotor-support system considering gyroscopic moment were derived by using dimensional analysis method, and the similarity ratios of physical variables of actual rotor system and model were obtained. And the correctness of dynamics similarity criteria of rotor system with gyroscopic effect was verified by solving the analytical solution of critical speed for a Jeffcott rotor system at different similarity ratios, and by studying the similarity of critical speeds and modes for an actual rotor system based on the finite element simulation software ANSYS. It shows that the natural frequency of actual rotor system is similar to its scaled model in similarity speed, and the critical speed is similar for rotor system considering gyroscopic moment, simple support and Rayleigh proportional damping.
- rotor dynamic /
- gyroscopic effect /
- dynamics similarity /
- natural frequency /
- critical speed

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