Stability for the Equilibrium State of Chaplygin’s systems

Zhu Haiping; Shi Rongchang; Mei Fengxiang

Volume 16 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(7): 595-601

Zhu Haiping, Shi Rongchang, Mei Fengxiang. Stability for the Equilibrium State of Chaplygin’s systems[J]. Applied Mathematics and Mechanics, 1995, 16(7): 595-601.

Citation:

Zhu Haiping, Shi Rongchang, Mei Fengxiang. Stability for the Equilibrium State of Chaplygin’s systems[J]. Applied Mathematics and Mechanics, 1995, 16(7): 595-601.

Citation:

Zhu Haiping, Shi Rongchang, Mei Fengxiang. Stability for the Equilibrium State of Chaplygin’s systems[J]. Applied Mathematics and Mechanics, 1995, 16(7): 595-601.

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Stability for the Equilibrium State of Chaplygin’s systems

Beijing Institute of Technology, Beijing 100081

Received Date: 1994-06-24
Publish Date: 1995-07-15

Abstract

Abstract

The stability for the equitibrium states of Chaplygin's systems is considered.The equations of motion of Chaplygin's systems and the existence conditions of their equilibrium states are given.Some criteria of stability for the equilibrium.states of Chaplygin's systems are obtained.Two examples are finally given.
- analytic mechanics,
- nonholonomic system,
- stability

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References(6)

References

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[3]	ZHANG Li-xiang,Tijsseling A S,Vardy A E.FSI analysis of liquid-filled pipes[J].Journal of Sound and Vibration,1999,224(1):69-99.
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