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双跨碰摩转子-轴承系统非线性动态响应与混沌 总被引:1,自引:0,他引:1
在同时考虑轴承油膜力和碰摩发生时转静件间的相对速度对非线性摩擦力的影响基础上,构造了双跨碰摩弹性转子-轴承系统动力学模型。对系统单盘和双盘碰摩的非线性动力学响应进行了数值仿真研究,发现该类系统在单盘碰摩时进入混沌的道路是倍周期分岔,离开混沌的道路为倍周期倒分岔,混沌运动区域为一体;双盘同时碰摩时,混沌运动区域中出现了2个明显的独立混沌岛。偏心量的增大,会使得系统响应更加不稳定。研究结果为转子-轴承系统故障诊断、动态设计和安全运行提供了理论参考。 相似文献
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目的:在讨论转子系统碰摩问题时,必须要考虑非线性碰摩力的影响,通过建立合理的模型来进行碰摩转子系统动力学分析十分重要。方法:运用基于Hertz接触理论的非线性碰摩力模型建模并进行数值仿真计算,对不同碰摩刚度下的故障转子系统动力学响应进行了研究。结果:通过分析发现,在碰摩刚度较大时,与线性刚度碰摩模型相比,采用Hertz接触理论碰摩力模型仿真出的结果非线性特性更强,系统碰摩特征更加明显,有利于判断碰摩故障的发生;结论:结合相关实验结果,验证了Hertz碰摩模型的正确性及将其运用在碰摩故障转子系统建模中的可行性。 相似文献
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为了研究挤压油膜阻尼器长径比对转子系统风车定点碰摩动力学特性的影响,搭建了转子-轴承-刚性机匣系统风车不平衡模拟碰摩实验台,简化实验器得双盘-滚动轴承转子模型,在实验之前对双盘-滚动轴承转子风车状态下定点碰摩故障动力学响应特性进行研究,为实验做出相应的预估。将双盘-滚动轴承转子系统碰摩模型简化为集中质量模型,基于达朗贝尔原理建立了考虑非线性油膜力、碰摩力以及支承轴承力作用的双盘-滚动轴承转子系统碰摩非线性动力学运动方程,采用四阶Runge-Kutta法对动力学运动方程进行求解,分析了系统响应位移随挤压油膜阻尼器长径比的变化规律。结果表明:长径比是影响转子系统运动状态的敏感参数,若增大长径比,转子系统运动状态先后经历混沌运动、周期运动、拟周期运动和混沌运动,之后一直维持在混沌运动状态;随长径比增大,转子系统抗失效不平衡量呈现先增大后缓慢减小的趋势;长径比在0.4时,转子系统抗振性能最优。 相似文献
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以三个质量六个自由度轴承—转子—定子系统为力学模型,研究非线性碰摩力与油膜力耦合作用下轴承—转子—定子系统的分岔与混沌行为,利用计算机仿真对发动机转子的碰摩故障进行数值模拟,讨论转子系统参数的变化对转子混沌运动状态的影响,发现具有非线性碰摩力及油膜力的局部耦合作用下转子系统的各种多周期运动和混沌运动及其演变过程。 相似文献
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松动对碰摩转子-轴承系统非线性特性的影响研究 总被引:2,自引:0,他引:2
在同时考虑轴承油膜力和碰摩发生时转子与定子之间的相对滑动速度对非线性摩擦力的影响基础上,构造了含有松动和碰摩故障转子系统的动力学模型,对转子 轴承系统由松动和碰摩耦合故障导致的非线性动力学行为进行了数值仿真研究,发现该类系统在运行过程中存在周期运动、拟周期运动和混沌运动等丰富的非线性现象,研究结果为转子 轴承系统故障诊断、动态设计和安全运行提供了理论参考。 相似文献
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不对称润滑对碰摩转子-轴承系统的动力学影响 总被引:1,自引:1,他引:1
在考虑非线性油膜力的基础上,建立了具有碰摩故障的转子-轴承系统的动力学模型。用数值方法研究了在非线性油膜力作用下具有碰摩故障的转子系统的动力学特性,并研究了当改变其中一个支承轴承润滑油的粘度时,转子系统的动力学特性。研究发现,随着一轴承润滑油粘度的降低,转子系统亚临界角速度区的混沌区域和拟周期区域扩大了。该结果为采用不同粘度润滑剂的转子-轴承系统的优化设计、安全运行和故障诊断等提供了一定的理论参考 相似文献
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含松动与碰摩的转子-轴承系统非线性行为分析 总被引:2,自引:0,他引:2
以含松动与碰摩的转子-轴承系统为研究对象,采用一种新的短轴承非稳态油膜力公式和非稳态油膜转子-轴承系统碰摩的刚性约束非光滑模型建立系统的动力学方程,利用4阶Rounge-Kutta法求解非线性动力学方程,运用Mat-lab对系统进行数值模拟,通过分析相图、分岔图、Poincare截面图以及幅值谱图,得出系统丰富的非线性特性。结果表明含松动与碰摩的转子-轴承系统在工作转速较低时,轴承支座作微幅振动,随着转速增加,振动幅度也增加,在高速运转下系统处于混沌运动状态;含松动与碰摩的转子-轴承系统中松动端轴承支座在拟周期和混沌运动状态下的轴心轨迹松散,呈“柱状”结构,而未松动端在相同状态下轴心轨迹图结构紧凑,由此可以判断转子-轴承系统的松动故障。 相似文献
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研究了滚动轴承支承的柔性转子系统的混沌行为。考虑空间Euler-Bernoulli杆单元、刚性圆盘、圆柱滚子轴承非线性接触力、不平衡力,使用有限单元法建立了柔性转子轴承系统的非线性动力学方程组。根据FPA修正法确定求解周期,采用Runge-Kutta法、Newton-Raphson法求解非线性动力学方程组,用获得的系统最大Lyapunov指数判断系统的混沌行为。以某滚子轴承柔性转子系统为例,研究了该类转子系统在径向间隙、不平衡力、转轴刚度比对柔性转子系统混沌特性的影响规律,发现随着轴承径向间隙的增大,系统的混沌区间逐渐增大、变多。不平衡力的存在使得系统混沌的转速及范围变大。随着刚度比增大,振幅峰值及对应的转速均逐渐增大,系统混沌区间也增多,轴承非线性振动对柔性转子系统非线性行为的影响逐渐增强。 相似文献
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Axial-grooved gas-lubricated journal bearings have been widely applied to precision instrument due to their high accuracy, low friction, low noise and high stability. The rotor system with axial-grooved gas-lubricated journal bearing support is a typical nonlinear dynamic system. The nonlinear analysis measures have to be adopted to analyze the behaviors of the axial-grooved gas-lubricated journal bearing-rotor nonlinear system as the linear analysis measures fail. The bifurcation and chaos of nonlinear rotor system with three axial-grooved gas-lubricated journal bearing support are investigated by nonlinear dynamics theory. A time-dependent mathematical model is established to describe the pressure distribution in the axial-grooved compressible gas-lubricated journal bearing. The time-dependent compressible gas-lubricated Reynolds equation is solved by the differential transformation method. The gyroscopic effect of the rotor supported by gas-lubricated journal bearing with three axial grooves is taken into consideration in the model of the system, and the dynamic equation of motion is calculated by the modified Wilson-0-based method. To analyze the unbalanced responses of the rotor system supported by finite length gas-lubricated journal bearings, such as bifurcation and chaos, the bifurcation diagram, the orbit diagram, the Poincar6 map, the time series and the frequency spectrum are employed. The numerical results reveal that the nonlinear gas film forces have a significant influence on the stability of rotor system and there are the rich nonlinear phenomena, such as the periodic, period-doubling, quasi-periodic, period-4 and chaotic motion, and so on. The proposed models and numerical results can provide a theoretical direction to the design of axial-grooved gas-lubricated journal bearing-rotor system. 相似文献
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CAI-WAN CHANG-JIAN 《摩擦学汇刊》2013,56(6):897-908
This study performs a dynamic analysis of a rotor supported by an oil-film journal and thrust bearings. The analysis of the rotor-bearing system is investigated under the assumptions of an incompressible lubricant, a flexible rotor, and negligible side leakage in the thrust bearing. The numerical results show that the nonlinear dynamics of the system vary with the nondimensional speed ratio and the initial value of the displacements in the horizontal, vertical, and axial directions. Specifically, some routes of periodic responses, subharmonic motions into chaos, out of chaos to subharmonic responses, or suddenly into chaos, suddenly out of chaos to periodic ones were found. 相似文献
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为研究横荡作用下船用转子-浮筏气囊耦合系统的非线性动力学特性,基于短轴承理论建立系统的数学模型,并用数值方法分析系统的动力学行为,探究转子转速、横荡幅值和频率变化对系统非线性动力学特性的影响。结果表明:与无横荡作用时相比,系统的动力学特性更为复杂;在转子转速较低时,系统在船体横荡作用下处于拟周期运动状态,随着转子转速的增加,系统出现分岔现象然后又合为一支直至混沌;随着横荡幅值的增大,转子的振动幅值也会随之增大,然而频率比的增加会使转子的振幅变小。 相似文献
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Stability analysis of a rotor bearing system due to surface waviness and number of balls 总被引:3,自引:0,他引:3
In the paper, the stability analysis of a rigid rotor supported by ball bearings has been studied. In the analytical formulation, the contacts between balls and races are considered as nonlinear springs, whose stiffnesses are obtained by using Hertzian elastic contact deformation theory. The implicit type numerical integration technique Newmark-β with Newton–Raphson method is used to solve the nonlinear differential equations iteratively. The effects of surface waviness and the varying number of balls on stability of rotor bearing system are observed. All results presented in form of fast fourier transformations show that the vibration characteristics of the rotor and its bearings change, when the bearings operate in different regions of their nonlinear load deflection characteristics. From the analysis, it is implied that the number of balls and number of waves in the ball bearing are two important governing parameters affecting its dynamic behavior. 相似文献
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He Li Shuying Liu Feng Wen Bangchun Wen 《Journal of Mechanical Science and Technology》2007,21(6):961-964
To study the dynamics of giant magnetostrictive material (GMM) transducer, its model was developed, according to the dynamic
experiment results of GMM and the influence of unsymmetrical piece-wise linear stiffness of the prepressing spring. Based
on the one degree of freedom its vibration model of a GMM transducer, unsymmetrical piecewise linear nonlinear characteristic
of pre-pressing spring was investigated. The first order harmonic motion component of the GMM transducer was obtained by the
analysis of KBM method. By the numerical simulation the complicated bifurcation and chaos behavior of the nonlinear vibration
system were founded, which should to be taken account of in the design of GMM transducer. 相似文献
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铅芯橡胶支座基于自身良好的隔震力学性能、足够的竖向承载力以及稳定的弹性复位功能被广泛应用于工程结构中.对其力学性能模拟的正确与否将对整个结构的分析结果产生很大影响.文中基于大型通用有限元软件ANSYS,采用Combin40单元模拟铅芯橡胶支座的非线性滞回特性.最后通过对采用铅芯橡胶支座的某桁架结构进行动态特性分析,表明Combin40单元能很好模拟其力学性能. 相似文献
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含间隙和时变啮合刚度的弧齿锥齿轮传动系统非线性振动特性研究 总被引:18,自引:4,他引:18
齿面侧隙和时变啮合刚度等因素的存在,将导致弧齿锥齿轮传动系统在工作过程中呈现典型的非线性特性;置于转子上的弧齿锥齿轮传动系统被等效处理为8自由度动力学模型,借助动态相对传动误差,使两轮转动自由度合并,建立了7自由度的非线性振动方程。采用A算符算法获得了不同工况下弧齿锥齿轮系统的扭转、横向及轴向的振动位移和速度,发现随着啮合频率的变化,系统经倍周期分岔进入混沌,而随着支承刚度的变化,系统经拟周期分岔进入混沌振动,在啮合频率的变化过程中,系统存在跳跃现象。 相似文献