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. |
[1] |
M.A..Aiserman and F.R.Gantmacher,Stabilitat der gleichgewichtslage in einem nichtholunomen system,ZAMM,37(1957),74-75.
|
[2] |
Ю.И.Неймарки Н.А.Фуфаев,дцнамцка.Незолономных Сцсмем,Наука,М.(1967)
|
[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.
|
[4] |
梅凤翔,关于非线性非完整系统平衡伏态的稳定性,科学通报,37(1) (1992 ),82-85.
|
[5] |
梅凤翔,《非完整系统力学基础》.北京工业学院出版社,北京(1985).
|
[6] |
Н.Н.Красовский,Забачц Теорцц усмочцвосмц Двцженця Физматтиз М.(1959).
|
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