On an Implementation of the Hilber-Hughes-Taylor Method in the Context of Index 3 Differential-Algebraic Equations of Multibody Dynamics (DETC2005-85096)

[+] Author and Article Information
Dan Negrut1

Department of Mechanical Engineering, The University of Wisconsin, Madison, WI 53706negrut@wisc.edu

Rajiv Rampalli

 MSC.Software, Ann Arbor, MI 48105rajiv.rampalli@mscsoftware.com

Gisli Ottarsson

 MSC.Software, Ann Arbor, MI 48105gisli.ottarsson@mscsoftware.com

Anthony Sajdak

 MSC.Software, Ann Arbor, MI 48105anthony.sajdak@mscsoftware.com


Corresponding author.

J. Comput. Nonlinear Dynam 2(1), 73-85 (Jul 05, 2006) (13 pages) doi:10.1115/1.2389231 History: Received April 01, 2006; Revised July 05, 2006

The paper presents theoretical and implementation aspects related to a numerical integrator used for the simulation of large mechanical systems with flexible bodies and contact/impact. The proposed algorithm is based on the Hilber-Hughes-Taylor (HHT) implicit method and is tailored to answer the challenges posed by the numerical solution of index 3 differential-algebraic equations that govern the time evolution of a multibody system. One of the salient attributes of the algorithm is the good conditioning of the Jacobian matrix associated with the implicit integrator. Error estimation, integration step-size control, and nonlinear system stopping criteria are discussed in detail. Simulations using the proposed algorithm of an engine model, a model with contacts, and a model with flexible bodies indicate a 2 to 3 speedup factor when compared against benchmark MSC.ADAMS runs. The proposed HHT-based algorithm has been released in the 2005 version of the MSC.ADAMS/Solver.

Copyright © 2007 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 1

Poly-V accessory belt.

Grahic Jump Location
Figure 2

X-component of reaction force

Grahic Jump Location
Figure 3

HHT and GSTIFF differences

Grahic Jump Location
Figure 4

Alternator angular velocity

Grahic Jump Location
Figure 5

Alternator force difference

Grahic Jump Location
Figure 6

Track subsystem model

Grahic Jump Location
Figure 7

Acceleration and velocity of track 8

Grahic Jump Location
Figure 8

All-terrain vehicle (ATV)

Grahic Jump Location
Figure 9

Comparison of vertical reaction force

Grahic Jump Location
Figure 10

Engine pitch angular velocity

Grahic Jump Location
Figure 11

Angular velocity difference



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In