Series solution of double-stick motion response of dry friction oscillatorand stick-slip boundary analysis

PDF(1488 KB)

Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (9) : 73-78.

论文

Series solution of double-stick motion response of dry friction oscillatorand stick-slip boundary analysis

QIAN Da-shuai, LIU Zhan-sheng, LIU Zhen-xing, YE Jian-huai

Author information +

History +

Abstract

Analytical series solution of double-stick motion response is derived based on the presented piecewise function of frictional force by using harmonic balance method. The double-stick motion response is only constituted by the odd harmonic components. The response amplitude and stick duration are affected by frequency ratio, force amplitude ratio and viscous damping ratio. Stick-slip boundary function in parameter plane is derived based on the series solution. Increase in viscous damping reduces the parameter range of pure slipping motion, especially when frequency ratio is smaller. The stick-slip boundary has the feature of concave-convex alternation when viscous damping ratio is less than 0.1652.

Key words

dry friction oscillator / stick-slip motion / double-stick motion / series solution / stick-slip boundary

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

QIAN Da-shuai;LIU Zhan-sheng;LIU Zhen-xing;YE Jian-huai. Series solution of double-stick motion response of dry friction oscillatorand stick-slip boundary analysis[J]. Journal of Vibration and Shock, 2013, 32(9): 73-78