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A finite element approach to the dyn...

Lim, Heetaek.

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A finite element approach to the dynamic simulation of multibody systems.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A finite element approach to the dynamic simulation of multibody systems./
Author:	Lim, Heetaek.
Description:	193 p.
Notes:	Chair: Robert L. Taylor.
Contained By:	Dissertation Abstracts International63-02B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3044559
ISBN:	049358434X

A finite element approach to the dynamic simulation of multibody systems.
Lim, Heetaek.

A finite element approach to the dynamic simulation of multibody systems. - 193 p.

Chair: Robert L. Taylor.

Thesis (Ph.D.)--University of California, Berkeley, 2001.

A reliable and efficient formulation for the dynamic simulation of multibody systems within a finite element framework is presented. This approach allows the modeling of complex multibody systems with arbitrary configurations in a very systematic and modular way. This is accomplished through the assembly of basic components that include rigid and nonlinear elastic bodies as well as various joint types.

ISBN: 049358434XSubjects--Topical Terms:

1018410
Applied Mechanics.

A finite element approach to the dynamic simulation of multibody systems.
LDR:03241nam 2200313 a 45 001 932995
005 20110505
008 110505s2001 eng d
020 $a 049358434X
035 $a (UnM)AAI3044559
035 $a AAI3044559
040 $a UnM $c UnM
100 1 $a Lim, Heetaek. $3 1256735
245 1 0 $a A finite element approach to the dynamic simulation of multibody systems.
300 $a 193 p.
500 $a Chair: Robert L. Taylor.
500 $a Source: Dissertation Abstracts International, Volume: 63-02, Section: B, page: 0918.
502 $a Thesis (Ph.D.)--University of California, Berkeley, 2001.
520 $a A reliable and efficient formulation for the dynamic simulation of multibody systems within a finite element framework is presented. This approach allows the modeling of complex multibody systems with arbitrary configurations in a very systematic and modular way. This is accomplished through the assembly of basic components that include rigid and nonlinear elastic bodies as well as various joint types.
520 $a A novel constrained optimization approach is introduced to impose joint constraints between rigid bodies. The basic idea of the new method is to condense the augmented system resulting from a Lagrange multiplier formulation into a reduced system by perturbing zero diagonal terms with small penalty parameters. An optimal penalty parameter that minimizes the total error of the perturbed system is proposed. The fact that we use an inconsistent tangent matrix is justified by using a quasi-Newton method to solve the resulting nonlinear system. To deal with coupled flexible-rigid systems, a new family of explicit-implicit time integration schemes is developed. For the time-consuming flexible part, an explicit mid-point rule is applied, whereas an implicit mid-point energy-momentum conserving scheme is adopted for the rigid part. Each rigid body involves only six parameters, thus solution of the rigid body part using an implicit scheme remains very efficient for most practical problems.
520 $a The proposed algorithm has some remarkable features. First, it can efficiently handle a very general class of multibody systems with arbitrary topology. A sparse formulation introduced in this dissertation enables linear-time simulation for open loop systems. In classical Lagrange multiplier methods, singular configurations may exist which often result in failure of the solution process. The new approach overcomes this main drawback of the Lagrange multiplier method and leads to numerical systems with a full-rank coefficient matrix. Additionally, no stabilization technique is necessary since the joint constraints are exactly satisfied. Finally, the explicit-implicit scheme is shown to be linear and angular momentum conserving with good satisfaction of energy for the Hamiltonian systems considered. Several examples are presented to assess the performance and applicability of the algorithm.
590 $a School code: 0028.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Engineering, Civil. $3 783781
650 4 $a Engineering, Mechanical. $3 783786
690 $a 0346
690 $a 0543
690 $a 0548
710 2 0 $a University of California, Berkeley. $3 687832
773 0 $t Dissertation Abstracts International $g 63-02B.
790 $a 0028
790 1 0 $a Taylor, Robert L., $e advisor
791 $a Ph.D.
792 $a 2001
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3044559