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

• 论文 • 上一篇    

NONLINEAR OSCILLATION ANALYSIS BY AN ORTHOGONAL FUNCTION METHOD

孙丕忠, 唐乾刚, 孙世贤   

  1. Nation University of Defence Technology, Changsha 410073, P.R.China
  • 收稿日期:1994-09-13 出版日期:1995-07-18 发布日期:1995-07-18
  • 通讯作者: Li Li

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

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摘要： 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.

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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