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Geometry, dynamics and control of co...

Wang, Li-Sheng.

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Geometry, dynamics and control of coupled systems.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometry, dynamics and control of coupled systems./
作者:	Wang, Li-Sheng.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 1990,
面頁冊數:	205 p.
附註:	Source: Dissertations Abstracts International, Volume: 52-10, Section: B.
Contained By:	Dissertations Abstracts International52-10B.
標題:	Mechanics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9110367

Geometry, dynamics and control of coupled systems.
Wang, Li-Sheng.

Geometry, dynamics and control of coupled systems. - Ann Arbor : ProQuest Dissertations & Theses, 1990 - 205 p.

Source: Dissertations Abstracts International, Volume: 52-10, Section: B.

Thesis (Ph.D.)--University of Maryland, College Park, 1990.

This item must not be sold to any third party vendors.

In this dissertation, we study the dynamics and control of coupled mechanical systems. A key feature of this work is the systematic use of modern geometric mechanics, including methods based on symplectic geometry, Lie symmetry groups, reductions, Lagrangian mechanics and Hamiltonian mechanics to investigate specific Eulerian many-body problems. A general framework for gyroscopic systems with symmetry is introduced and analyzed. The influence of the gyroscopic term (linear term in Lagrangian) on the dynamical behavior is exploited. The notion of gyroscopic control is proposed to emphasize the role of the gyroscopic term in designing control algorithms. The block-diagonalization techniques associated to the energy-momentum method which proved to be very useful in determining stability for simple mechanical systems with symmetry are successfully extended to gyroscopic systems with symmetry. The techniques developed here are applied to several interesting mechanical systems. These examples include the dual-spin method of attitude control for artificial satellites, a multi-body analog of the dual-spin problem, a rigid body with momentum wheels in a central gravitational force field, and a rigid body with momentum wheels and a flexible attachment.Subjects--Topical Terms:

525881
Mechanics.

Geometry, dynamics and control of coupled systems.
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100 1 $a Wang, Li-Sheng. $3 3434417
245 1 0 $a Geometry, dynamics and control of coupled systems.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 1990
300 $a 205 p.
500 $a Source: Dissertations Abstracts International, Volume: 52-10, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
500 $a Advisor: Krishnaprasad, P. S.
502 $a Thesis (Ph.D.)--University of Maryland, College Park, 1990.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a In this dissertation, we study the dynamics and control of coupled mechanical systems. A key feature of this work is the systematic use of modern geometric mechanics, including methods based on symplectic geometry, Lie symmetry groups, reductions, Lagrangian mechanics and Hamiltonian mechanics to investigate specific Eulerian many-body problems. A general framework for gyroscopic systems with symmetry is introduced and analyzed. The influence of the gyroscopic term (linear term in Lagrangian) on the dynamical behavior is exploited. The notion of gyroscopic control is proposed to emphasize the role of the gyroscopic term in designing control algorithms. The block-diagonalization techniques associated to the energy-momentum method which proved to be very useful in determining stability for simple mechanical systems with symmetry are successfully extended to gyroscopic systems with symmetry. The techniques developed here are applied to several interesting mechanical systems. These examples include the dual-spin method of attitude control for artificial satellites, a multi-body analog of the dual-spin problem, a rigid body with momentum wheels in a central gravitational force field, and a rigid body with momentum wheels and a flexible attachment.
590 $a School code: 0117.
650 4 $a Mechanics. $3 525881
650 4 $a Aerospace materials. $3 3433227
650 4 $a Systems design. $3 3433840
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710 2 $a University of Maryland, College Park. $3 657686
773 0 $t Dissertations Abstracts International $g 52-10B.
790 $a 0117
791 $a Ph.D.
792 $a 1990
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9110367