摘要The Poisson theory and inverse problem are studied in a controllable mechanical system. Equations of motion of the controllable mechanical system in phase space are given. Poisson's integral theory of the system is established. The potential force field is constructed by solving the inverse problem in a controllable mechanical system. Finally, an example is given to illustrate the application of the results.
Abstract：The Poisson theory and inverse problem are studied in a controllable mechanical system. Equations of motion of the controllable mechanical system in phase space are given. Poisson's integral theory of the system is established. The potential force field is constructed by solving the inverse problem in a controllable mechanical system. Finally, an example is given to illustrate the application of the results.
XIA Li-Li
. Poisson Theory and Inverse Problem in a Controllable Mechanical System[J]. 中国物理快报, 2011, 28(12): 120202-120202.
XIA Li-Li
. Poisson Theory and Inverse Problem in a Controllable Mechanical System. Chin. Phys. Lett., 2011, 28(12): 120202-120202.
[1] You C D 1996 The Modern Control Theory Basic (Beijing: Electronic Industry Press)
[2] Mei F X 1988 J. Beijing Inst. Technol. 8 17
[3] Mei F X 1985 Foundations of Mechanics of Nonholonomic Systems (Beijing: Beijing Institute of Technology press)
[4] Luo S K 1996 Appl. Math. Mech. 7 683
[5] Fu J L, Chen L Q, Bai J H and Yang X D 2003 Chin. Phys. 12 695
[6] Xia L L and Zhao X L 2009 Chin. Phys. Lett. 26 010203
[7] Xia L L and Cai J L 2010 Chin. Phys. Lett. 27 080201
[8] Luo S K and Zhang Y F et al 2008 Advances in the Study of Dynamics of Constrained Systems (Beijing: Science Press) (in Chinese)
[9] Cai J L 2008 Chin. Phys. Lett. 25 1523
[10] Cai J L and Mei F X 2008 Acta Phys. Sin. 57 5369
[11] Cai J L, Luo S K and Mei F X 2008 Chin. Phys. B 17 3170
[12] Xia L L, Li Y C and Wang X J 2009 Acta Phys. Sin. 58 28
[13] Whittaker E T 1937 A Treatise on the Analytical Dynamics of Particles and Rigid Bodies 4th end (Cambridge: Cambridge UP)
[14] Vujanovic B 1984 Int. J. Nonlinear Mech. 19 383
[15] Vujanovic B and Jones S E 1989 Variational Methods in Nonconservative Phenomena (Boston MA: Academic Press)
[16] Vujanovic B 1987 J. Sound Vibration 114 375
[17] Mei F X 1989 Acta Mech. Sin. 5 260
[18] Mei F X 1990 Acta Mech. Sin. 6 160
[19] Mei F X 1992 Appl. Math. Mech. 13 165
[20] Mei F X 2000 Appl. Mech. Rev. (ASME) 53 283
[21] Xia L L 2011 Chin. Phys. Lett. 28 040201
[22] Mei F X 2000 J. Non-Linear Mech. 35 229
2011, Vol. 28 
