Analysis of vibration characteristics of power function damping system

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (4) : 91-97.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Analysis of vibration characteristics of power function damping system

YANG Xiaotong1，SHEN Yongjun*2，ZHANG Ruiliang2

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Abstract

The forced vibration of a single degree-of-freedom system with power function damping under simple harmonic excitation is analyzed. The expression of equivalent linear damping is derived by averaging method and equivalent linearization. It is found that the vibration reduction effect of nonlinear damping is closely related to its coefficient and exponent. The steady-state solution of the amplitude and phase of the main system is further obtained, and the correctness of the steady-state solution is verified by numerical simulation. The factors affecting the vibration reduction effect of nonlinear damping are analyzed by the changing curve of equivalent linear damping and the amplitude-frequency response curve. The study shows that the increase of damping ratio will shift the resonance peak to the left and improve the vibration reduction performance, but the damping ratio needs to be controlled within an appropriate range to achieve the best vibration reduction effect. In addition, when the damping ratio is small, the increase of damping index can enhance the damping effect, but too large damping ratio will cause the vibration reduction effect of nonlinear damping to be lower than that of linear damping. This results provide an important basis and theoretical foundation for structural vibration reduction design and optimization.

Key words

power function damping / average method / equivalent linear damping / vibration control

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YANG Xiaotong1, SHEN Yongjun2, ZHANG Ruiliang2. Analysis of vibration characteristics of power function damping system[J]. Journal of Vibration and Shock, 2025, 44(4): 91-97

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