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Influence of geometric nonlinearity of rectangular plate on vibration reduction performance of nonlinear energy sink
Journal of Mechanical Science and Technology ( IF 1.5 ) Pub Date : 2020-08-07 , DOI: 10.1007/s12206-020-0704-4
Wei-xing Zhang , Jian-en Chen

The differences between the vibration reduction of a NES (nonlinear energy sink) on a nonlinear plate and a linear plate are compared, and the effect of NES on the nonlinear plate is mainly analyzed. The nonlinear equations of the plates connected to NES are derived and subsequently solved by the complexification-averaging method and least square method. The amplitude of the first mode of the nonlinear plate is several times higher than that of the linear plate under large excitation when the two plates are attached to identical NES. The amplitudes of the second mode of the two NES equipped plate are similar. However, super-harmonic resonance responses of the two systems are significantly different. The evolution of the higher branch responses in super-harmonic resonance frequency band of the second mode is analyzed, and found to be significantly different with respect to that in the primary resonance frequency band of the first mode.



中文翻译:

矩形板几何非线性对非线性消能器减振性能的影响

比较了非线性平板和线性平板上的NES(非线性能量吸收器)的减振差异,主要分析了NES对非线性平板的影响。推导了与NES相连接的板的非线性方程,随后通过复数平均法和最小二乘法求解。当两个板连接到相同的NES时,在大的激励下,非线性板的第一模式的振幅是线性板的振幅的几倍。两个装有NES的板的第二模式的振幅相似。但是,两个系统的超谐波共振响应明显不同。分析了第二模式的超谐波共振频带中较高的分支响应的演变,

更新日期:2020-08-08
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