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| Abstract: |
| Recent advances in the application of the nonlinear energy sink under a sinusoidal excitation make it possible to investigate metal-rubber vibration absorber. To provide such a vibration absorber for the integrated spacecraft platform, we analyze the targeted energy transfer of the simplified model with nonlinear energy sink using the complex-variables averaging method. Theoretical study shows two quasi-periodic responses that are essentially different in this nonlinear system. The steady-state response which is one of two quasi-periodic responses is caused by the linear instability of system, and another one appears as a result of the nonlinear normal modes between the linear and nonlinear oscillators, resulting from the energy transfer of different oscillators, and it can be used to vibration absorber. Secondly, this paper also discusses the performance of the proposed nonlinear absorber by using the phase portraits. All conclusion derived by the analytic model is verified numerically and the results are consistent with numerical simulations. |
| Key words: nonlinear energy sink targeted energy transfer metal-rubber vibration absorber complex-variables averaging methods |
| DOI：10.11916/j.issn.1005-9113.15371 |
| Clc Number:O322 |
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| Descriptions in Chinese: |
| 基于非线性能量阱的金属橡胶减振元件动力学分析 孔宪仁，熊怀，刘源，杨震国 （哈尔滨工业大学 卫星技术研究所，哈尔滨 50080） 创新点说明：随着正弦激励作用下的非线性能量阱研究的不断深入，使得金属橡胶元件深入研究成为可能。为航天器仪器安装板提供减振方案，本文用复变量平均法分析了简化金属橡胶减振元件的非线性能量阱系统的定向能量传递问题。理论分析表明，系统存在一种是非线性模态引起的准周期响应，能够实现振动抑制；并用相轨迹的方法讨论了这种振动抑制效率。这些结论通过数值仿真都得到了验证。 研究目的： 用非线性能量阱理论分析金属橡胶减振元件动力学特性，为金属橡胶元件参数设计提供途径。 研究方法： 复变量平均法；分段时程法；相轨迹法。 结果： 1） 在正弦激励下的非线性系统（耦合金属橡胶减振元件）存在两种本质差异的振动响应，一种响应具有振动抑制效果，另一种则没有； 2） 两种振动响应出现与非线性刚度、正弦激励幅值大小有关；关系如正文中式（15）; 结论： 1）金属橡胶元件在受到正弦激励作用时，系统能量会出现局部积聚的现象，及非线性能量定向传递； 2） 金属橡胶元件系统会出现两种特殊响应，通过合理的设计参数可以实现特定响应的发生，从而提升金属橡胶减振元件的减振性能。 关键词：非线性能量阱，定向能量传递，金属橡胶减振元件，复变量平均法 |
