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A Field Integration Method for a Weakly Nonholonomic System |
MEI Feng-Xiang, CUI Jin-Chao, CHANG Peng |
| Department of Mechanics, Beijing Institute of Technology, Beijing 100081 |
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MEI Feng-Xiang, CUI Jin-Chao, CHANG Peng 2010 Chin. Phys. Lett. 27 080202 |
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Abstract A field integration method for a weakly nonholonomic system is studied. The differential equations of motion of the system are established. The approximate solution of the holonomic system corresponding to the weakly nonholonomic system is obtained by using the field method. The restriction of nonholonomic constraint to initial conditions is added and the approximate solution of the weakly nonholonomic system is obtained. An example is given to demonstrate the application of the result.
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02.20.Sv
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Received: 15 April 2010
Published: 28 July 2010
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[1] Whittaker E T 1952 A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (New York: Cambridge University)
[2] Mei F X, Liu D and Luo Y 1991 Advanced Analytical Mechanics (Beijing: Beijing Institute of Technology) (in Chinese)
[3] Vujanovic B 1984 Int. J. Nonlinear Mech. 19 383
[4] Mei F X 1989 Acta Mech. Sin. 5 260 (in Chinese)
[5] Mei F X 1990 Acta Mech. Sin. 6 160 (in Chinese)
[6] Mei F X 2000 Int. J. Nonlinear Mech. 35 229 (in Chinese)
[7] Mei F X 2000 Appl. Mech. Rev. 53 283 (in Chinese)
[8] Wang S Y and Mei F X 2002 Chin. Phys. 11 5 (in Chinese)
[9] Mei F X 1993 Chin. Sci. Bull. 38 281 (in Chinese)
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