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Dynamic analysis of parametrically excited system under uncertainties and multi-frequency excitations

机译：不确定和多频激励下参数激励系统的动力学分析

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摘要

Some system parameters in mechanical systems are always uncertain due to uncertainties in geometric and material properties, lubrication condition and wear. For a more reasonable estimation of dynamic analysis of the parametrically excited system, the effect of uncertain parameters should be taken into account. This paper presents a new non-probabilistic analysis method for solving the dynamic responses of parametrically excited systems under uncertainties and multi-frequency excitations. By using the multidimensional harmonic balance method (MHBM) and the Chebyshev inclusion function (CIF), an interval multi-dimensional harmonic balance method (IMHBM) is obtained. To illustrate the accuracy of the proposed method, a time-varying geared system of wind turbine with different kinds of uncertainties is demonstrated. By comparing with the results of the scanning method, it is shown that the presented method is valid and effective for the parametrically excited system with uncertainties and multi-frequency excitations. The effects of some uncertain system parameters including uncertain mesh stiffnesses and uncertain bearing stiffnesses on the frequency responses of the system are also discussed in detail. It is shown that the dynamic responses of the system are insensitive to the uncertain mesh stiffness and bearing stiffnesses of the planetary gear stage. The uncertain bearing stiffnesses of the intermediate and high-speed stages will lead to relatively large uncertainties in the dynamic responses around resonant regions. It will provide valuable guidance for the optimal design and condition monitoring of wind turbine gearboxes.
机译：由于几何和材料特性，润滑条件和磨损的不确定性，机械系统中的某些系统参数始终是不确定的。为了更合理地估计参数激励系统的动力学分析，应考虑不确定参数的影响。本文提出了一种新的非概率分析方法，用于求解不确定性和多频激励下的参数激励系统的动力响应。通过使用多维谐波平衡方法（MHBM）和切比雪夫包含函数（CIF），可以获得区间多维谐波平衡方法（IMHBM）。为了说明所提方法的准确性，对具有不同不确定性的风轮机齿轮系统进行了验证。通过与扫描法结果的比较，表明该方法对于不确定性和多频激励的参数激励系统是有效的。还详细讨论了一些不确定的系统参数，包括不确定的网格刚度和不确定的轴承刚度，对系统的频率响应的影响。结果表明，系统的动态响应对行星齿轮级不确定的啮合刚度和轴承刚度不敏感。中级和高速级的不确定轴承刚度将导致共振区域周围动力响应的较大不确定性。这将为风机齿轮箱的优化设计和状态监测提供有价值的指导。

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  • 来源
    《Mechanical systems and signal processing》 |2016年第5期|762-784|共23页
  • 作者

    Sha Wei; Qinkai Han; Zhike Peng; Fulei Chu;

  • 作者单位

    State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China;

    State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China;

    State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;

    State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Parametrically excited system; Multi-frequency excitation; Gear; Wind turbine; Uncertainties;

    机译：参数激励系统;多频励磁;齿轮;风力发电机;不确定性;

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