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Designing Nonlinear Torsional Vibration Absorbers

机译:设计非线性扭转振动吸收器

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We consider issues related to the design of mechanical systems that feature nonlinear vibratory behavior. Designs that account for, and also exploit, nonlinear dynamics are considered. The chapter provides a brief overview of general considerations related to these issues, and then considers in detail the case of vibration absorbers that are used to reduce torsional vibrations in rotating systems. These absorbers, which are being developed for use in automotive engines, consist of centrifugally driven masses that ride on user-specified paths relative to a rotor that is being driven by a fluctuating torque. The absorbers are used to reduce the torsional vibrations of the rotor by providing a torque on the rotor that counteracts, at least partially, the applied torque. The mathematical model of this system represents, under assumptions on the system parameters consist with practical applications, a system of N identical nonlinear oscillators with weak damping, weak global coupling, and weak near-resonant excitation. The nonlinearity in the oscillators depends on the path, and the goal of this nonlinear dynamic design problem is to select a path that provides good vibration reduction over a specified range of torque amplitudes. The desired response has all N absorbers behaving identically, that is. in a synchronous manner. However, the structure of this system leads to two distinct types of dynamic instabilities, and both must be avoided for a given design to be feasible. In this work we examine the synchronous absorber response in terms of vibration reduction, torque range, and stability. It is shown that a particular epieyeloidal path provides good performance, and can be made stable. These results are a summary of previous work described in (30).
机译:我们考虑与具有非线性振动行为的机械系统设计有关的问题。考虑并考虑和利用非线性动力学的设计。本章简要概述了与这些问题有关的一般注意事项,然后详细考虑了用于减少旋转系统中的扭转振动的减振器的情况。这些被开发用于汽车发动机的吸收器由离心驱动的质量块组成,这些质量块相对于由波动扭矩驱动的转子沿用户指定的路径骑行。通过在转子上提供至少部分地抵消所施加的转矩的转矩,减震器被用于减小转子的扭转振动。该系统的数学模型表示,在假设系统参数符合实际应用的情况下,该系统由N个相同的非线性振荡器组成,该系统具有弱阻尼,弱全局耦合和弱近共振激励。振荡器的非线性取决于路径,此非线性动态设计问题的目的是选择一条路径,该路径可在指定的转矩幅度范围内提供良好的减振效果。即,期望的响应使所有N个吸收器的行为相同。以同步的方式。但是,此系统的结构导致两种不同类型的动态不稳定性,并且对于给定的设计可行,必须避免两者。在这项工作中,我们从减振,扭矩范围和稳定性方面研究了同步吸收器的响应。结果表明,特定的表观晶状体路径提供了良好的性能,并且可以使其稳定。这些结果是对(30)中描述的先前工作的总结。

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