Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (2): 205-210.

• Articles • Previous Articles    

ASYMPTOTIC SOLUTIONS OF MATHIEU EQUATION WITH DAMPING

Tao Ming-de   

  1. Department of Applied Mechanics, Fudan University, Shanghai
  • Received:1989-12-16 Online:1992-02-18 Published:1992-02-18

Abstract: This paper first reduces the motion equation of a collapsible tube to the Mathieu equation with damping.Then the stability charts correcting the accuracy to each order are obtained with the method of asymptotic expansions.The accuracy of the results obtained with the average variational method is shown.And some phenomena observed in the experiment are also explained.

Key words: collapsible tube, mathieu equation, parametric excitation

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