Amplitude-frequency response characteristics of non-smooth pure nonlinear vibration absorber with increasing stiffness

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (11) : 170-175.

CHEN Jianen1,2, ZHANG Weixing1,2, HU Wenhua1,2, SUN Min3

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Abstract

When the amplitude of simple harmonic excitation increases to a certain extent, smooth pure nonlinear vibration absorber can make its main oscillator produce higher branch response, and cause sudden failure.Here, in order to avoid failure, a scheme of non-smooth vibration absorber was proposed.It was shown that it has lower stiffness coefficient during its amplitude being smaller; when its amplitude is larger than the critical value, its stiffness coefficient can increase significantly.The complex variable average method was used to derive the slowly-varying dynamic equation of the system, and amplitude-frequency responses of the main oscillator connected with smooth and non-smooth absorbers were obtained, respectively using the least square method.The study showed that the non-smooth absorber can effectively suppress the occurrence of higher branch response through reasonably controlling spring gap; when the excitation amplitude is smaller, performances of the two kinds of absorbers are very close to each other; when the system is under medium excitation, the smooth absorber has better vibration absorption performance; when the excitation amplitude further increases, the non- smooth absorber has a significant superiority.

Key words

non-smooth / vibration absorber / pure nonlinearity / higher branch

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CHEN Jianen1,2, ZHANG Weixing1,2, HU Wenhua1,2, SUN Min3. Amplitude-frequency response characteristics of non-smooth pure nonlinear vibration absorber with increasing stiffness[J]. Journal of Vibration and Shock, 2021, 40(11): 170-175

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