Volume 28 Issue 1
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QIAN Da-shuai, LIU Zhan-sheng, WANG Le, XIE Liang. Series solution of symmetric dry frictional stick-slip motion and stick-slip boundary characteristics[J]. Journal of Aerospace Power, 2013, 28(1): 38-45.
Citation: QIAN Da-shuai, LIU Zhan-sheng, WANG Le, XIE Liang. Series solution of symmetric dry frictional stick-slip motion and stick-slip boundary characteristics[J]. Journal of Aerospace Power, 2013, 28(1): 38-45.
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Series solution of symmetric dry frictional stick-slip motion and stick-slip boundary characteristics

  • School of Energy Science and Engineering, Harbin Institute of Technology,Harbin 150001,China

  • Received Date: 2012-01-12
  • Publish Date: 2013-01-28
    Abstract
  • To study frictional vibration problems in areo-engine,piecewise expression of frictional force in symmetric stick-slip motion was presented.Analytical series solution of symmetric stick-slip motion with even stops was derived by using harmonic balance method.Stick-slip boundary function in parameter plane was derived based on the series solution.Stick-slip response contained only odd harmonic components and super-harmonic resonances existed at odd fractional frequency ratios.When frequency ratio was less than 0.4,the stick-slip boundary curve had the feature of concave-convex alternation and its local minimums located at the super-harmonic resonant frequencies.Increase in viscous damping reduced the non-sticking parameter range at most frequency ratio ranges except near super-harmonic resonant frequencies,where larger viscous damping led to larger non-sticking parameter range.

     

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