针对转子-滑动轴承系统缩比模型与原型是否满足动力学相似的问题，本文采用量纲分析法建立了考虑陀螺力矩和滑动轴承非线性油膜力的转子-轴承系统相似准则，确立了模型与原型各物理量相似比。理论研究表明，通过采用模化转子滑动轴承静载荷补偿措施，可使转子-轴承系统满足动力学相似要求。补偿处理后的模型和原型转子系统的临界转速、失稳转速、不平衡响应均具有相似性。并通过算例对比分析转子几何比、材料密度模化比和弹性模量模化比对轴系不平衡响应特性相似性的影响规律，验证了所推导的转子动力学相似准则的正确性。
Abstract
Are dynamic characteristics of a rotorsliding bearing system scaled model similar to those of the original system? To answer this problem, dynamic similarity criteria for rotorsliding bearing systems considering gyroscopic moment and nonlinear oil film force were derived by using the dimensional analysis method, and the similarity ratios of physical variables of the scaled model to those of the original system were obtained. The theoretical study showed that the dynamic similarity requirements of rotorsliding bearing systems can be met by using the static load compensation measures of sliding journal bearings of the scaled rotor system; the critical speed, stability threshold speed and imbalance response of the scaled system after compensation and those of the original system have a similarity; the correctness of dynamic similarity criteria of rotor systems proposed here is verified using comparative analysis for imbalance response characteristics of the scaled system model and those of the original system with different rotor geometric ratios, material density ratios and elastic modulus ratios.
关键词
动力学相似 /
转子动力学 /
陀螺效应 /
滑动轴承 /
非线性油膜力
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Key words
dynamics similarity /
rotordynamic /
gyroscopic effect /
sliding bearing /
nonlinear oil film force
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