Citation: | Zhang Shuhong, Liang Tianling. Another Class D’Alembert Principle and a New Maggi Equation for Arbitrary Order Nonholonomic Mechanical Systems in Derivative Space[J]. Applied Mathematics and Mechanics, 1996, 17(12): 1101-1105. |
[1] |
梁天麟、张曙红,导数空间任意阶非完整系统的APPELL型方程及广义的D' Alembert原理,昆明工学院学报,(1)(1992).
|
[2] |
梁天麟,导数空间的万有D' Alembert原理及任意阶非完整系统的运动方程,科学通报,(24)(1992).
|
[3] |
梁天麟,建立非线性非完整力学系统数学模型的一种新方法(A new method of establishing the mathematical model for arbitrary nonlinear nonholonomic system),《北京第二属国际非线性力学会议论文集》,(ICN M-2,Beijing)(1993).
|
[4] |
吴镇,《分析力学》,上海交通大学出版社(1984).
|
[1] | HUANG Wei-li, CAI Jian-le. Conformal Invariance for the Nonholonomic System of Chetaev’s Type With Variable Mass[J]. Applied Mathematics and Mechanics, 2012, 33(11): 1294-1303. doi: 10.3879/j.issn.1000-0887.2012.11.005 |
[2] | V. Čović, M. Vesković, D. Djuri, A. Obradović. On the Stability of Equilibria of Nonholonomic Systems With Nonlinear Constraints[J]. Applied Mathematics and Mechanics, 2010, 31(6): 722-723. doi: 10.3879/j.issn.1000-0887.2010.06.009 |
[3] | MU Xiao-wu, YU Ji-min, CHENG Gui-fang. Adaptive Regulation of High Order Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 2006, 27(4): 447-453. |
[4] | FANG Jian-hui, CHEN Pei-sheng, ZHANG Jun. Form Invariance and Lie Symmetry of Variable Mass Nonholonomic Mechanical System[J]. Applied Mathematics and Mechanics, 2005, 26(2): 187-192. |
[5] | MU Xiao-wu, YU Ji-min, BI Wei-ping, CHENG Dai-zhan. Robust Adaptive Control of Nonholonomic Systems With Uncertainties[J]. Applied Mathematics and Mechanics, 2004, 25(3): 297-304. |
[6] | FANG Jian-hui, ZHAO Song-qing, JIAO Zhi-yong. The Lie Symmetries and Conserved Quantities of Variable-Mass Nonholonomic System of Non-Chetaev's Type in Phase Space[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1080-1084. |
[7] | FANG Jian-hui. The Conservation Law of Nonholonomic System of Second-Order Non-Chetave’s Type in Event Space[J]. Applied Mathematics and Mechanics, 2002, 23(1): 82-86. |
[8] | Fang Jianhui. The Conservation Law of Second-Order Nonholonomic System of Non-Chetaev’s Type[J]. Applied Mathematics and Mechanics, 2000, 21(7): 755-758. |
[9] | Li Yuancheng, Zhang Yi, Liang Jinghui. Noether’s Theorem for Nonholonomic Systems of Non-Chetaev’s Type With Unilateral Constraints in Event Space[J]. Applied Mathematics and Mechanics, 2000, 21(5): 488-493. |
[10] | Zhang Yi, Mei Fengxiang. Equations of Motion for Nonholonomic Mechanical Systems with Unilateral Constraints[J]. Applied Mathematics and Mechanics, 1999, 20(1): 55-62. |
[11] | Zhu Haiping. Szebehely’s Problem for Nonholonomic Systems with a Given First Integral[J]. Applied Mathematics and Mechanics, 1998, 19(9): 785-790. |
[12] | Li Gangchang, He Shiben. Lagrange’s Theorem for a Class of Nonholonomic Systems and Its Application[J]. Applied Mathematics and Mechanics, 1998, 19(2): 126-135. |
[13] | Liang Lifu, Liang Zhonghong, Shi Zhifei. The Stationary Value Property of Hamilton’s Principle in Non-Holonomic Systems[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1089-1096. |
[14] | Liang Lifu, Wei Yang. On the Unification of the Hamilton Principles in Non-Holonomic System and in Holonomic System[J]. Applied Mathematics and Mechanics, 1996, 17(5): 439-444. |
[15] | Zhu Hai-ping, Mei Feng-xiang. On the Stability 0f Nonholonomic Mechanical Systems with Respect to Partial Variables[J]. Applied Mathematics and Mechanics, 1995, 16(3): 225-233. |
[16] | Zhang Yueliang, Qiao Yongfen. Kane’s Equations for Precussion Motion of Variable Mass Nonholonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1995, 16(9): 781-790. |
[17] | Shen Ze-chun, Liu Feng-li. Gauss White Noise Perturbations of Nonholonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1993, 14(10): 895-902. |
[18] | Liang Li-fu, Shi Zhi-fei. On Some Important Problems in Analytical Dynamics of Non-Holonomic Systems[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1057-1067. |
[19] | Mei Feng-xiang. A Field Method for Integrating the Equations of Motion of Nonholonomic Controllable Systems[J]. Applied Mathematics and Mechanics, 1992, 13(2): 165-171. |
[20] | Qiao Yong-fen. Gibbs-Appells Equations of Variable Mass Nonlinear Nonholonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1990, 11(10): 911-920. |