摘要
研究弯扭耦合共振消减转轴的残余应力的动力稳定性,对转子-轴承系统进行有限元离散,建立动力学模型。然后,对转子-轴承系统进行模态分析,得到合适的阵型。根据共振条件在共振转速之下用Newmark法求得转轴受到扭转振动激励的弯扭耦合位移响应和动应力响应,分析了转轴弯扭耦合共振特性。当转轴从零转速上升到耦合共振转速的过程中,通过Floquet稳定性理论和Poincaré法对参数激励系统进行周期稳定性分析。研究结果表明,弯扭耦合振动时效过程中的耦合动力特性明显,且振动是稳定的,对弯扭耦合共振理论应用于振动时效领域有一定的参考价值。
The paper deals with the dynamic characteristics and stability of vibratory stress relief for shaft part using coupled lateral and torsional vibrations. The dynamic equation of rotor-bearing system was established by the finite element method. The appropriate modal was obtained by the modal analysis. According to the resonance condition,the lateral response,torsional response and dynamic stress response of the rotating shaft subjected to torsional excitation were obtained by the Newmark method. The resonant characteristics of coupled vibration were analyzed. Based on the transient analysis,the periodic stability of the parametric system was analyzed by the Floquet stability theory and the Poincarémethod during the rotational speed raised from zero to the coupling resonant speed. The results show that the coupled dynamic characteristics of the vibratory stress relief process using coupled lateral and torsional vibrations are obvious,and the vibration is stable,which have reference value for the application of vibratory stress relief.
引文
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