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Relating constrained motion to force...

Roithmayr, Carlos M.

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Relating constrained motion to force through Newton's second law.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Relating constrained motion to force through Newton's second law./
Author:	Roithmayr, Carlos M.
Description:	172 p.
Notes:	Adviser: Dewey H. Hodges.
Contained By:	Dissertation Abstracts International68-05B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3261712
ISBN:	9780549008934

Relating constrained motion to force through Newton's second law.
Roithmayr, Carlos M.

Relating constrained motion to force through Newton's second law. - 172 p.

Adviser: Dewey H. Hodges.

Thesis (Ph.D.)--Georgia Institute of Technology, 2007.

When a mechanical system is subject to constraints its motion is in some way restricted. In accordance with Newton's second law, motion is a direct result of forces acting on a system; hence, constraint is inextricably linked to force. The presence of a constraint implies the application of particular forces needed to compel motion in accordance with the constraint; absence of a constraint implies the absence of such forces.

ISBN: 9780549008934Subjects--Topical Terms:

1018410
Applied Mechanics.

Relating constrained motion to force through Newton's second law.
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020 $a 9780549008934
035 $a (UMI)AAI3261712
035 $a AAI3261712
040 $a UMI $c UMI
100 1 $a Roithmayr, Carlos M. $3 1278398
245 1 0 $a Relating constrained motion to force through Newton's second law.
300 $a 172 p.
500 $a Adviser: Dewey H. Hodges.
500 $a Source: Dissertation Abstracts International, Volume: 68-05, Section: B, page: 3136.
502 $a Thesis (Ph.D.)--Georgia Institute of Technology, 2007.
520 $a When a mechanical system is subject to constraints its motion is in some way restricted. In accordance with Newton's second law, motion is a direct result of forces acting on a system; hence, constraint is inextricably linked to force. The presence of a constraint implies the application of particular forces needed to compel motion in accordance with the constraint; absence of a constraint implies the absence of such forces.
520 $a The objective of this thesis is to formulate a comprehensive, consistent, and concise method for identifying a set of forces needed to constrain the behavior of a mechanical system modeled as a set of particles and rigid bodies. The goal is accomplished in large part by expressing constraint equations in vector form rather than entirely in terms of scalars. The method developed here can be applied whenever constraints can be described at the acceleration level by a set of independent equations that are linear in acceleration. Hence, the range of applicability extends to servo-constraints or program constraints described at the velocity level with relationships that are nonlinear in velocity. All configuration constraints, and an important class of classical motion constraints, can be expressed at the velocity level by using equations that are linear in velocity; therefore, the associated constraint equations are linear in acceleration when written at the acceleration level.
520 $a Two new approaches are presented for deriving equations governing motion of a system subject to constraints expressed at the velocity level with equations that are nonlinear in velocity. By using partial accelerations instead of the partial velocities normally employed with Kane's method, it is possible to form dynamical equations that either do or do not contain evidence of the constraint forces, depending on the analyst's interests.
590 $a School code: 0078.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Engineering, Aerospace. $3 1018395
650 4 $a Physics, General. $3 1018488
690 $a 0346
690 $a 0538
690 $a 0605
710 2 $a Georgia Institute of Technology. $3 696730
773 0 $t Dissertation Abstracts International $g 68-05B.
790 $a 0078
790 1 0 $a Hodges, Dewey H., $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3261712