Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (4): 399-405.

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PLASTIC DYNAMIC STABILITY OF A COLUMN UNDER NONCONSERVATIVE FORCES

Jie Min   

  1. Department of Mechanics, Huazhong University of Sciences & Technology, Wuhan 430074, P. R. China
  • Received:1995-02-22 Revised:1995-08-10 Online:1997-04-18 Published:1997-04-18

Abstract: In this paper Liapunov’s second method is used to analyze the plastic dynamicstability of a column under nonconservative forces. The column is in a viscous medium, andunder the action of uniformly distributed tangential follower forces. The strain-rate effecton the stress-strain relation of materials is included in the analysis. A condition of stabilityis derived. and the critical buckling food is obtained. The strain-rate effect on the stabilityof the column is discussed.

Key words: Nonconservative forces, column, plastic stability

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