Analysis of steady responses for a frictional oscillator based on the Harmonic Balance-Alternating Frequency/Time Domain Method

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (12) : 170-176.

KANG Jiahao1,XU Chao1,LI Dongwu1,REN Huaiyu2

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Abstract

Complex contact and frictional behaviors appear on the interface of jointed structures in vibration environment. When subjected to different tangential excitation, the interface may have different frictional behaviors: micro-slip and macro-slip. Solving the steady-state response of frictional oscillator considering micro/macro-slip accurately and efficiently is of great significance to the design and optimization of jointed structures. Using the continuous spring-slider model (Iwan model) to describe the cross-scale frictional behavior on the jointed surface, and combing multiple harmonic balance method and alternating frequency/time domain method to solve the steady-state response of single/multi-degree of freedom friction oscillators. Results showed that the method has high accuracy and higher computational efficiency than conventional numerical integration method. The higher the truncated harmonic order, the more accurate the frictional restoring force is. The frequency response analysis showed that the friction nonlinearity results in nonlinear phenomena of stiffness softening and harmonic resonance for the amplitude-frequency response.

Key words

frictional oscillator / micro-slip / macro-slip / multiple harmonic balance / alternating frequency/time domain method / steady responsesss

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KANG Jiahao1,XU Chao1,LI Dongwu1,REN Huaiyu2. Analysis of steady responses for a frictional oscillator based on the Harmonic Balance-Alternating Frequency/Time Domain Method[J]. Journal of Vibration and Shock, 2020, 39(12): 170-176

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