Nonlinear Oscillation Analysis by an Orthogonal Function Method

Sun Pizhong; Tang Qiangang; Sun Shixian

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Sun Pizhong, Tang Qiangang, Sun Shixian. Nonlinear Oscillation Analysis by an Orthogonal Function Method[J]. Applied Mathematics and Mechanics, 1995, 16(7): 653-661.

Citation:

Sun Pizhong, Tang Qiangang, Sun Shixian. Nonlinear Oscillation Analysis by an Orthogonal Function Method[J]. Applied Mathematics and Mechanics, 1995, 16(7): 653-661.

Citation:

Sun Pizhong, Tang Qiangang, Sun Shixian. Nonlinear Oscillation Analysis by an Orthogonal Function Method[J]. Applied Mathematics and Mechanics, 1995, 16(7): 653-661.

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Nonlinear Oscillation Analysis by an Orthogonal Function Method

National University of Defence Technology, Changsha 410073

Received Date: 1994-09-13
Publish Date: 1995-07-15

Abstract

Abstract

In this paper an orthogonal function method is presented based on the idea to suppose perioche solution with the method of harmonie balance The displaeement is expressed in the form of trigonometric fumctions a group of simplified eigenequations are 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 convergence speed and littld caleulation work.
- orthogonal function method,
- nonlinearity,
- oseillation characteristies,
- eigenequations

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References(6)

References

[1]	A.H.Nayfey and D.T.Mook,Nonlinear O.soillations,A Wiley Interscience Publication New York(1979).
[2]	T.D.Burton,On the amplitude decay of strongly nonlinear damped oscillation,J.Sound and Vib.,87,4(1983),535-541.
[3]	Y.K.Cheung and S.L.Lau,Incremental time-space finite strip method for nonlinear structure vibrations,Earthguake Engineering anct Structural Dvrranticals,10(1982),239-253.
[4]	秦荣,《结构力学中的样条函数方法》,广西人民出版社,南宁(1985).
[5]	唐乾刚、孙世贤,多自由度系统及结构非线性自由振动的摄动谐波平衡法,国防科技大学学报,14(4)(1992),13-20.
[6]	G.V.Rao,et al.,Finite element formulation for the large amplitude free vibrations of beams and orthotropic plates,Computers Struc.,6(1976),169-172.