The Existnece of Periodic Solution of the Fourth Ordinary Non-Linear Differential Equation Caused by Flow-induced Vibration

Gu Qing-fang; Tang Da-qing

Volume 15 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(3): 273-282

Gu Qing-fang, Tang Da-qing. The Existnece of Periodic Solution of the Fourth Ordinary Non-Linear Differential Equation Caused by Flow-induced Vibration[J]. Applied Mathematics and Mechanics, 1994, 15(3): 273-282.

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The Existnece of Periodic Solution of the Fourth Ordinary Non-Linear Differential Equation Caused by Flow-induced Vibration

Deparimeni of Applied Mathematics, Chengdu University of Technology, Chengdu

Received Date: 1992-05-04
Publish Date: 1994-03-15

Abstract

Abstract

The vortex-induced vibration is a well-known problem in mechanics,In this paper,with the help fixed point principle, we study. this problem and find the existencecondition of the periodic solution as well as the region of parameters.

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References(6)

References

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[3]	Lazer,A,C,On Schauder's fined point theorem and freed second-order nonlinear oscillations,J,Math Anal Appl.,21,421-425.
[4]	Robert D,Bleoins,Flow-induced vibration,van Nostrand Reinhoid company.
[5]	秦元勋,一个关于周期轨道存在的定理,北京大学学报(自然科学)1,(1979),1-20.
[6]	Smith,R,A,Existence of Pericdic orbits of autonomous ordinary differential eqvaticns,Proc R,Soc,Edinb,85A(1980),153-172,