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首页> 外文期刊>Mechanical systems and signal processing >Vibration attenuation of a continuous rotor-blisk-journal bearing system employing smooth nonlinear energy sinks
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Vibration attenuation of a continuous rotor-blisk-journal bearing system employing smooth nonlinear energy sinks

机译：采用光滑非线性能量吸收器的连续转子-叶轮-日向轴承系统的振动衰减

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摘要

The current paper investigates the effects of a number of smooth nonlinear energy sinks (NESs) located on the disk and bearings on the vibration attenuation of a rotor-blisk-journal bearing system under excitation of a mass eccentricity force. The blade and rotor are modeled using the Euler-Bernoulli beam theory. The nonlinear energy sinks on the bearing have a linear damping and an essentially nonlinear stiffness. The nonlinear energy sinks on the disk have a linear damping, linear stiffness, and an essentially nonlinear stiffness. It can be seen that the linear stiffness of the NESs on the disk is eliminated by the negative stiffness induced by the centrifugal force, and the collection of the NESs can be tuned to a required rotational speed of the rotor by varying the linear stiffness of the NESs. Furthermore, the remained stiffness of the NESs on the disk after elimination of their linear stiffness, would be essentially a nonlinear (nonlinearizable) one. Two nonlinear energy sinks in the vertical axes are positioned on the bearing housing and n_(nd) NESs are located on the perimeter of the disk. The equations of motion are extracted using the extended Hamilton principle. The modal coordinates and complex transformations are employed to decrease the number of equations of motion. A genetic algorithm is used to optimize the parameters of the nonlinear energy sinks and its objective function is considered as minimizing the vibration of the rotating system within an operating speed range. In order to examine the periodic and non-periodic solutions of the system, time history, bifurcation diagram, Poincare map, phase portrait, Lyapunov exponent, and power spectra analyses are performed. System shows periodic and quasi-periodic motions for different values of the system parameters. It is shown that the NESs on the disk and bearings have almost local effects on vibration reduction of rotating system. In addition, the optimum NESs remove the instability region from the system response completely.
机译：本文研究了位于圆盘和轴承上的许多光滑非线性能量吸收器（NESs）对在质量偏心力的激励下转子-叶轮-新闻-轴承系统的振动衰减的影响。叶片和转子是使用Euler-Bernoulli梁理论建模的。轴承上的非线性能量吸收器具有线性阻尼和基本非线性的刚度。磁盘上的非线性能量吸收器具有线性阻尼，线性刚度和基本上非线性的刚度。可以看出，由于离心力引起的负刚度，磁盘上的NESs的线性刚度被消除了，并且可以通过改变NESs的线性刚度来将NESs的收集调整为转子所需的转速。 NESs。此外，NES的线性刚度消除后，其在磁盘上的剩余刚度基本上是非线性的（不可线性化）。垂直轴上的两个非线性能量吸收器位于轴承箱上，n_（nd）NESs位于磁盘的周边。使用扩展的汉密尔顿原理提取运动方程。使用模态坐标和复杂变换来减少运动方程式的数量。遗传算法用于优化非线性能量吸收器的参数，其目标函数被认为是在运行速度范围内使旋转系统的振动最小化。为了检查系统的周期和非周期解，进行了时间历史，分叉图，庞加莱图，相图，Lyapunov指数和功率谱分析。系统显示系统参数不同值的周期性和准周期性运动。结果表明，磁盘和轴承上的NES几乎对旋转系统的减振具有局部影响。此外，最佳NES可以完全消除系统响应中的不稳定区域。

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