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考虑碰摩的长轴承-双盘转子系统的非线性动力学特性

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针对长轴承支撑的复杂转子系统,建立一类含非对称非线性弹簧阻尼耦合支撑的双盘转子系统的力学模型.首先,计算润滑油膜力和转定子因碰摩产生的碰摩力等非线性力,并将两端轴承和底座之间等效为非线性的弹性阻尼耦合作用.其次,基于多目标协同、多参数耦合仿真分析,采用变步长四阶 Runge-Kutta 法数值计算,分析一类长轴承双盘转子系统的周期碰摩振动的模式类型、分布区域及分岔特征.最后,揭示系统的动力学特性与模型参数的关联关系.研究结果表明:转子系统随定子刚度比或转速比的增大而表现出典型的非光滑特性,系统的多种周期类型共存现象频发,当定子刚度比、间隙阈值、转速比等多参数耦合变化时,系统的非线性振动特性呈现出复杂性和多样化特征;随着定子偏心比增大,系统发生的最大碰摩力和碰摩占空比值均随之增高;系统的摩擦系数变化对系统的周期振动的模式类型、分布规律、最大碰摩力和碰摩占空比值的影响相对较小;亚谐周期振动、混沌等复杂的周期碰摩振动随系统转速比增大而持续发生.
Nonlinear dynamic characteristics of a dual flexible rotor system with rub-impact supported by long journal bearings
This study develops a mechanical model for a complex rotor system supported by long bearings,focusing on a double-disc rotor system with asymmetric nonlinear spring-damping cou-pling.First,nonlinear forces,including the lubricating oil-film force and the rub impact force due to rotor-stator contact,are calculated.The interaction between the bearings at both ends and the base is modeled as a nonlinear elastic damping coupling.Second,employing a multi-objective,multi-parameter collaborative coupled simulation analysis and the variable step size fourth-order Runge-Kutta method for numerical computation,the study investigates the modal types,distribution areas,and bifurcation characteristics of periodic rub-impact vibrations in a long-bearing double-disc rotor system.Finally,the research reveals the relationship between the system's dynamical properties and its model parameters.The results show that the rotor system exhibits typical nonsmooth characteristics as the stator stiffness ratio or speed ratio in-creases.The system frequently experiences the coexistence of multiple cycle types,and its non-linear vibration characteristics display complexity and diversity when parameters such as stator stiffness ratio,gap threshold,and speed ratio are varied in a coupled manner.As the eccentric-ity ratio increases,both the maximum rub-impact force and the rub-impact duty cycle within the system rise.Changes in the system's friction coefficient have a relatively minor impact on the mode types,distribution patterns,maximum rub-impact forces,and duty cycle values of the system's periodic vibrations.Subharmonic periodic vibrations and chaotic behaviors,among other complex periodic rub-impact vibrations,are observed to persist as the speed ratio increases.

rotor dynamicslong journal bearingperiodic-impactrub-impactbifurcation

尹凤伟、王学明、薛海

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吉林铁道职业技术学院 东北亚高铁学院,吉林 吉林 132299

兰州交通大学 机电工程学院,兰州 730070

转子动力学 长轴承 周期振动 碰摩振动 分岔

2024

北京交通大学学报
北京交通大学

北京交通大学学报

CSTPCD北大核心
影响因子:0.525
ISSN:1673-0291
年,卷(期):2024.48(6)