改进的本质非线性吸振器宽频吸振参数域研究

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (6) : 218-222.

论文

改进的本质非线性吸振器宽频吸振参数域研究

楼京俊; 唐斯密; 朱石坚; 赵存生

作者信息 +

Study on Parameter Range of Improved Essentially Nonlinear Absorber on Broad Frequence Range

LOU Jingjun;TANG Simi; ZHU Shijian; ZHAO Cunsheng

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摘要

考虑到工程的实际应用，对本质非线性吸振器进行了改进，建立了带有弱线性刚度项的强非线性吸振器的振动系统的动力学模型。利用谐波平衡法推导了主系统的频响方程组，分析了线性刚度对宽频吸振效果的影响，发现吸振器中带有一定的弱线性刚度反而能提高宽频减振的性能。计算了激励力与吸振器非线性刚度函数的上、下限值以及宽频吸振的参数域，对此类吸振器的工程应用具有较好的指导意义。对比分析了多频激励下不同吸振器的减振效果：在合适的参数域中，改进后的本质非线性吸振器表现出了很好的宽频减振性能

Abstract

The essentially nonlinear absorber is improved considering engineering implementation. The dynamical model of an essentially nonlinear absorber with weak linear stiffness coupled with a linear oscillator is studied, which is under periodic excitation. The differential equations of amplitude-frequency of the system is obtained based on harmonic balance method. The relationship of linear stiffness, generalized excitation and performance of absorption over broad range frequency is studied. The results show that the weak linear stiffness is in favor of amplitude attenuation over broad frequence range. The maximum and minimum of generalized excitation that contains the information about force and nonlinear stiffness is obtained, which is significant for engineering application. Comparing the performance of improved essentially absorber with that of linear absorber under muti-frequency excitation, the result shows the excellent performance over broad range frequence

导出引用

楼京俊;唐斯密;朱石坚;赵存生. 改进的本质非线性吸振器宽频吸振参数域研究[J]. 振动与冲击, 2011, 30(6): 218-222

LOU Jingjun;TANG Simi;ZHU Shijian;ZHAO Cunsheng. Study on Parameter Range of Improved Essentially Nonlinear Absorber on Broad Frequence Range[J]. Journal of Vibration and Shock, 2011, 30(6): 218-222