Spur Gear Vibration Mitigation by Means of Energy Pumping
Spur Gear Vibration Mitigation by Means of Energy Pumping
复制标题
通过能量泵浦减轻正齿轮振动
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
F. Pellicano
中科院分区：
文献类型：
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作者：
G. Scagliarini;R. Viguié;G. Kerschen;F. Pellicano
直齿圆柱齿轮副的动力学行为可以从单自由度系统的传动误差角度来研究。因此，一个机械系统表现出组合参数激励和间隙型非线性检查的数值积分和连续方法的装置，努力解释其复杂的行为，因为它是常见的旋转机械的稳态强迫响应。被认为是一个预加载的机械振荡器的特定情况下，具有周期性的时变刚度的功能和受到对称的反冲条件。即使这样的振荡器表示能够分析单个正齿轮副的最简单的模型，它也表现出复杂的动态现象，包括跳跃、超谐波、次谐波共振和动态分叉。为了减小系统的振动，应用了非线性吸振器。与一般的线性和弱非线性系统不同，具有强非线性元件的系统能够在宽频率范围内有效地对外力的幅值特性作出反应。一个强烈的和本质上非线性的，重量轻，与立方刚度振子，然后附加到主非线性系统周期性参数强迫和性能的非线性能量汇（内斯）的振动缓解进行了研究。命名法
The dynamic behavior of a spur gear pair can be studied in terms of transmission error considering a single degree of freedom system. Thus, a mechanical system exhibiting combined parametric excitation and clearance type nonlinearity is examined by means of numerical integrations and continuation methods in an effort to explain its complex behaviour, as it is commonly observed in the steady state forced response of rotating machines. The specific case of a preloaded mechanical oscillator having a periodically time varying stiffness function and subject to a symmetric backlash condition is considered. Even if such an oscillator represents the simplest model able to analyze a single spur gear pair, it exhibits complex dynamic phenomena, including jumps, superharmonics, subharmonic resonances and dynamic bifurcations. In order to reduce the vibration of the system, a nonlinear absorber is applied. Unlike common linear and weakly nonlinear systems, systems with strongly nonlinear elements are able to react efficiently on the amplitude characteristics of the external forcing in a wide range of frequencies. A strongly and essentially nonlinear, lightweight, with cubic stiffness oscillator is then attached to the main nonlinear system under periodic parametric forcing and the performance of this nonlinear energy sink (NES) for vibration mitigation is investigated. NOMENCLATURE