Developing the structure and analyzing the effectiveness of a novel Euler buckled beam nonlinear vibration absorber

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (11) : 155-160.

Liu Haiping, Yang Jianzhong, Luo Wenbo, Qian Zhiying

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Abstract

Combining parallel Euler buckled beam with a linear positive stiffness spring, a new novel improved nonlinear vibration absorber was provided and designed. According to the novel structure, a systematic dynamic model with strong nonlinear characteristic of the nonlinear vibration absorber was proposed. Based on the nonlinear dynamic equations, frequency response expressions were derived by using harmonic balance method. Meanwhile, under these conditions of transient input and multi-frequency stability input, the systematic dynamic equations without absorber, with linear and nonlinear absorber, respectively, were solved by using four-order Runge-Kutta method in time-domain and frequency-domain. In addition, the influences of initial imperfection, oblique angle and damping coefficient of Euler buckled beam on the vibration suppression performance were studied. The calculating results show that a typical improved essentially nonlinear dynamic absorber was constructed successfully based on the provided designing parameters of Euler buckled beam. Compared with the vibration responses of the main mass without and with absorber, it can be concluded that the nonlinear absorber has better attenuation performance. The initial imperfection and damping coefficient of Euler buckled beam exist optimized value, and with the increase of the oblique angle, the vibration control characteristic of the nonlinear vibration absorber has been improved.

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nonlinear / dynamic vibration absorber / Euler buckled beam.

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Liu Haiping, Yang Jianzhong, Luo Wenbo, Qian Zhiying. Developing the structure and analyzing the effectiveness of a novel Euler buckled beam nonlinear vibration absorber[J]. Journal of Vibration and Shock, 2016, 35(11): 155-160

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