Planar motion and stability for a rigid body with a beam in a field of central gravitational force

被引：0

作者：

程耀

陆启韶

机构：

来源：

Science China Mathematics | 2002年 / 11期

基金：

中国国家自然科学基金;

关键词：

stability; coupled rigid-elastic system; planar mation; central gravitation;

D O I：

暂无

中图分类号：

O318 [陀螺力学（回转仪理论）];

学科分类号：

080101 ;

摘要：

Planar motion for a rigid body with an elastic beam in a field of central gravitational force was investigated, and both of the orbital motion and attitude motion were under consideration. The equations of motion of the system were derived by the variational principle, and on view point of generalized Hamiltonian dynamics, the sufficient conditions for the stability of one class of relative equilibria were given by the energy-momentum method.

引用

页码：1479 / 1486

页数：8

共 50 条

[1] Planar motion and stability for a rigid body with a beam in a field of central gravitational force
Cheng Yao
Lu Qishao
[J]. Science in China Series A: Mathematics, 2002, 45 (11): : 1479 - 1486
[2] Planar motion and stability for a rigid body with a beam in a field of central gravitational force
Cheng, Y
Lu, QS
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2002, 45 (11): : 1479 - 1486
[3] HAMILTONIAN DYNAMICS OF A RIGID BODY IN A CENTRAL GRAVITATIONAL FIELD
Wang, Li-Sheng
Krishnaprasad, P. S.
Maddocks, J. H.
[J]. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1990, 50 (04): : 349 - 386
[4] Bifurcation and stability of the steady motions and relative equilibria of a rigid body in a central gravitational field
Abrarova, YV
Karapetyan, AV
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1996, 60 (03): : 369 - 380
[5] Dynamics of multibody systems in planar motion in a central gravitational field
Sanyal, AK
Bloch, A
McClamroch, NH
[J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2004, 19 (04): : 303 - 343
[6] ORIENTATION AND STABILIZATION OF A FLEXIBLE BEAM ATTACHED TO A RIGID BODY - PLANAR MOTION
MORGUL, O
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (08) : 953 - 962
[7] BOUNDARY CONTROL OF A TIMOSHENKO BEAM ATTACHED TO A RIGID BODY - PLANAR MOTION
MORGUL, O
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1991, 54 (04) : 763 - 791
[8] INTERMEDIATE PLANE MOTION OF A RIGID BODY IN GRAVITATIONAL-FIELD OF A SPHERE
BARKIN, YV
[J]. ASTRONOMICHESKII ZHURNAL, 1975, 52 (05): : 1076 - 1083
[9] The stability of the steady motions of a rigid body in a central field
Abrarova, YV
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1995, 59 (06): : 903 - 910
[10] STEADY RIGID-BODY MOTIONS IN A CENTRAL GRAVITATIONAL-FIELD
WANG, LS
MADDOCKS, JH
KRISHNAPRASAD, PS
[J]. JOURNAL OF THE ASTRONAUTICAL SCIENCES, 1992, 40 (04): : 449 - 478

← 1 2 3 4 5 →