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刘兴天, 陈树海, 王嘉登, 申军烽. 几何非线性摩擦阻尼隔振系统动力学行为研究[J]. 力学学报, 2019, 51(2): 371-379. DOI: 10.6052/0459-1879-18-302
引用本文: 刘兴天, 陈树海, 王嘉登, 申军烽. 几何非线性摩擦阻尼隔振系统动力学行为研究[J]. 力学学报, 2019, 51(2): 371-379. DOI: 10.6052/0459-1879-18-302
Xingtian Liu, Shuhai Chen, Jiadeng Wang, Junfeng Shen. ANLYSIS OF THE DYNAMIC BEHAVIOR AND PERFORMANCE OF A VIBRATION ISOLATION SYSTEM WITH GEOMETRIC NONLINEAR FRICTION DAMPING[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 371-379. DOI: 10.6052/0459-1879-18-302
Citation: Xingtian Liu, Shuhai Chen, Jiadeng Wang, Junfeng Shen. ANLYSIS OF THE DYNAMIC BEHAVIOR AND PERFORMANCE OF A VIBRATION ISOLATION SYSTEM WITH GEOMETRIC NONLINEAR FRICTION DAMPING[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 371-379. DOI: 10.6052/0459-1879-18-302

几何非线性摩擦阻尼隔振系统动力学行为研究

ANLYSIS OF THE DYNAMIC BEHAVIOR AND PERFORMANCE OF A VIBRATION ISOLATION SYSTEM WITH GEOMETRIC NONLINEAR FRICTION DAMPING

  • 摘要: 非线性隔振系统由于具有较线性系统更优的隔振性能,因此在工程中应用广泛.本文通过配置与被隔振对象的运动方向相垂直的库伦摩擦阻尼器,构建了几何非线性摩擦阻尼模型.由于引入了几何非线性,因此其摩擦力与位移正相关,这与传统与位移无关摩擦力模型有显著不同.首先,建立了具有几何非线性摩擦阻尼的数学模型以及隔振系统的受迫振动方程;然后,使用谐波平衡法求解了动力学方程,并使用数值仿真方法验证了谐波平衡法求解的准确性;最后,研究了几何非线性摩擦阻尼隔振器的绝对位移传递率和相对位移传递率.研究结果表明,在库伦摩擦阻尼选择适当,非线性摩擦阻尼系统可以在保持高频振动衰减效果的前提下,显著降低系统共振峰,其性能优于传统的恒定摩擦阻尼隔振模型.同时,几何非线性摩擦阻尼系统能够避免传统摩擦阻尼系统中的“锁定”现象,从传递率角度来说,不利于共振峰控制;但从激励环境改变引发隔振系统失效的角度来看,几何非线性摩擦阻尼系统可以拓宽系统对激励幅值的适应范围,避免隔振系统失效.本文的研究结果对此类隔振系统的设计和摩擦阻尼参数的选择具有通用的指导意义.

     

    Abstract: In vibration isolation field, nonlinear vibration isolation system catch more attention than linear system because of the better vibration isolation performance. In this paper, a novel nonlinear vibration isolation system with geometric nonlinear friction damping is proposed by add two friction damper that perpendicular to the movement direction of the isolated object. The absolute and relative displacement transmissibility of such kind of vibration isolation system are studied in this paper. Different from the friction damper which usually assuming that the friction force is constant, the friction force studied in this paper is proportional to the displacement of the isolated mass by configuring two linear friction dampers perpendicular to the moving direction of the mass. The mathematical model of the friction damping and the forced vibration of the system are established. The dynamic equation is solved by using Harmonic Balance Method (HBM) subsequently by making some simplification. The result solved by HBM is verified numerically. The performance of the nonlinear vibration isolation system is compared with that of a linear one by the performance index defined by absolute and relative transmissibility. The geometric nonlinear friction can offer small or large friction damping depends on the relative displacement, therefore, the nonlinear friction force can improve the transmissibility for both absolute and relative displacement at resonance and the higher frequencies region if the damping values are chosen carefully which surpass a traditional Kevin vibration isolator model. Meanwhile, the nonlinear vibration isolation system can enlarge the application region for different excitation amplitude and avoid the system failure though the responses of the isolated mass is amplified at low frequency. The vibration isolation system with the configuration of the friction damper proposed is very suitable for both resonance and higher frequencies vibration control. The conclusions given are of importance when design and choosing the friction damping parameters.

     

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