摘要A field integration method for a nonholonomic mechanical system of non-Chetaev's type is studied. The differential equations of the motion of the system are established. The solution of the corresponding holonomic system for the nonholonomic system is obtained by the field method. The restriction of nonholonomic constrained to initial conditions is added and the solution of the nonholonomic mechanical system of non-Chetaev's type is provided. An example is presented to illustrate the application of the results.
Abstract：A field integration method for a nonholonomic mechanical system of non-Chetaev's type is studied. The differential equations of the motion of the system are established. The solution of the corresponding holonomic system for the nonholonomic system is obtained by the field method. The restriction of nonholonomic constrained to initial conditions is added and the solution of the nonholonomic mechanical system of non-Chetaev's type is provided. An example is presented to illustrate the application of the results.
XIA Li-Li
. A Field Integration Method for a Nonholonomic Mechanical System of Non-Chetaev's Type[J]. 中国物理快报, 2011, 28(4): 40201-040201.
XIA Li-Li
. A Field Integration Method for a Nonholonomic Mechanical System of Non-Chetaev's Type. Chin. Phys. Lett., 2011, 28(4): 40201-040201.
[1] Whittaker E T 1952 A Treatise on the Analytical Dynamics of Partical 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] Rumyantzev V V and Sumbatov A S 1978 Zeitschrift für Angewandte Mathematik und Mechanik 58 477
[4] Vujanovic B 1984 Int. J. Nonlin. Mech. 19 383
[5] Vujanovic B and Jones S E 1989 Variational Methods in Nonconservative Phenomena (Boston MA: Academic Press)
[6] Vujanovic B 1987 J. Sound Vibration 114 375
[7] Mei F X 1989 Acta Mech. Sin. 5 260
[8] Novoselov V S 1966 Variational Methods in Mechanics (Leningrad: LGU Press)
[9] Mei F X 1990 Acta Mech. Sin. 6 160
[10] Mei F X 1992 Appl. Math. Mech. 13 165 (in Chinese)
[11] Mei F X 2000 Appl. Mech. Rev. 53 283
[12] Fu J L, Xu S S and Weng Y Q 2008 Chin. Phys. B 17 1939
[13] Fu J L and Fu H 2008 Chin. Phys. Lett. 25 3103
[14] Mei F X, Cui J C and Chang P C 2010 Chin. Phys. Lett. 27 080202
2011, Vol. 28 
