Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (7): 695-704.

• Articles • Previous Articles    

NONLINEAR OSCILLATION ANALYSIS BY AN ORTHOGONAL FUNCTION METHOD

Sun Pizhong, Tang Qiangang, Sun Shixian   

  1. Nation University of Defence Technology, Changsha 410073, P.R.China
  • Received:1994-09-13 Online:1995-07-18 Published:1995-07-18

Abstract: In this paper an orthogonal function method is presented based on the idea to suppose perioche sohuion with the method of harmonie balance The displaeement is expressed in the form of trigonometric fumctions a group of simplified digenequationsare obtained by the use of orthogonarity of trigonometric fumetions and linear mondes The method overcomes the diffieulty of a drifi term existing in systems with quadratic nonlinearities.The ealeulation examples show that the method has thd advantages of high caleulation preeision high convergenee speed and littld ealeulation work.

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