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Stability of Manifold of Equilibrium States for Nonholonomic Systems in Relative Motion |
ZHANG Yi |
| College of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011 |
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| Cite this article: |
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ZHANG Yi 2009 Chin. Phys. Lett. 26 120305 |
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Abstract The stability of manifold of equilibrium states for a class of nonholonomic systems in relative motion is studied. The Voronets equations and their canonical forms for dynamics of relative motion of the nonholonomic systems are established. The equations of relative equilibrium for the systems are given, and some criteria of the stability for the manifold of relative equilibrium states are obtained. An example is given to illustrate the application of the results.
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03.20.+i
45.50.-j
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Received: 04 September 2009
Published: 27 November 2009
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| PACS: |
03.20.+i
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45.50.-j
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(Dynamics and kinematics of a particle and a system of particles)
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[1] Whittaker E T 1904 A Treatise on the AnalyticalDynamics of Particles and Rigid Bodies (England: CambridgeUniversity)
[2]Zhu H P and Mei F X 1998 Adv. Mech. 28 17 (inChinese)
[3]Mikhailov G K et al 1990 Stability and AnalyticalMechanics (New York: Hemishere Publishing Corporation)
[4]Mei F X 1992 Chin. Sci. Bull. 37 1397
[5]Mei F X, Shi R C, Zhang Y F and Zhu H P 1997 Stabilityof Motion of Constrained Mechanical Systems (Beijing: BeijingInstitute of Technology) (in Chinese)
[6]Zhu H P and Ge W K 1994 J. Beijing Inst. Technol. 14 6 (in Chinese)
[7]Zhu H P and Mei F X 1994 Chin. Sci. Bull. 391081
[8]Zhu H P and Mei F X 1995 Appl. Math. Mech. 16237
[9]Zhu H P et al 1995 Appl. Math. Mech. 16 635
[10]Li G C and He S B 1998 Appl. Math. Mech. 19135
[11]Chen X W 1998 Henan Sci. 16 26
[12]Luo S K et al 2001 Mech. Res. Commun. 28 463
[13]Zhu H P and Yu A B 2002 Mech. Res. Commun. 29307
[14]Karapetyan A V et al 2002 Regul. Chaotic Dyn. 7 81
[15]Kalenova V I et al 2002 Prikl. Mat. Mekh. 66192
[16]Kalenova V I et al 2004 Prikl. Mat. Mekh. 68195
[17]Xu X J and Mei F X 2006 Chin. Phys. 15 1134
[18]Mei F X et al 2007 Chin. Phys. Lett. 24 1133
[19]Shang M et al 2007 J. Beijing Inst. Technol. 16 5
[20]Kalenova V I et al 2007 J. Math. Sci. 146 5877
[21]Mei F X et al 1991 Advanced Analytical Mechanics(Beijing: Beijing Institute of Technology) (in Chinese)
[22]Nikolenko I V 1968 Ukrainian Math. J. 20 121 |
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