Advanced search
Publication Cover
Mechanics of Structures and Machines Volume 25, 1997 - Issue 3
Journal homepage
136
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

A State-Space-Based Implicit Integration Algorithm for Differential-Algebraic Equations of Multibody DynamicsFootnote*

E. J. Haug DEPARTMENT OF MECHANICAL ENGINEERING, THE UNIVERSITY OF IOWA, IOWA CITY, IOWA, 52242, USA
,
D. Negrut DEPARTMENT OF MECHANICAL ENGINEERING, THE UNIVERSITY OF IOWA, IOWA CITY, IOWA, 52242, USA
&
M. lancu DEPARTMENT OF MATHEMATICS, THE UNIVERSITY OF IOWA, IOWA CITY, IOWA, 52242
Pages 311-334 | Received 01 Oct 1996, Published online: 03 Apr 2007

Citations (17)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

X. Wang, E. J. Haug & W. Pan. (2005) Implicit Numerical Integration for Design Sensitivity Analysis of Rigid Multibody Systems. Mechanics Based Design of Structures and Machines 33:1, pages 1-30.
Read now
E. J. Haug, D. Negrut & C. Engstler. (1999) Implicit Runge-Kutta Integration of the Equations of Multibody Dynamics in Descriptor Form. Mechanics of Structures and Machines 27:3, pages 337-364.
Read now

Articles from other publishers (15)

Kai Ma, Jingtao Du & Yang Liu. (2022) Nonlinear dynamic behavior analysis of closed-loop self-excited crankshaft model using improved Newmark-β method. Nonlinear Dynamics 111:6, pages 5107-5124.
Crossref
Qi-Bin Wang, Si-Yang Piao, Ming-Wei Piao, Peng Dang, Qiu-Ze Li & Jing-Ying Ren. (2023) A Dynamic Design Methodology for Large-Scale Complex Nonlinear Systems Based on Orthogonal Decomposition Technique. Shock and Vibration 2023, pages 1-18.
Crossref
Te-te Li, Wei Du, Ming-wei Piao, Yong-zheng Guo, Shi-ying Jin, Chun-ge Nie, Ji Fang, Ya-jun Cheng & Jun Fan. (2021) Dynamical Effect Investigations of Component’s Internal Interface by Using Techniques of Rigid-Flex Coupling Simulation. Shock and Vibration 2021, pages 1-13.
Crossref
S A Korostelev, A V Gorbachev, A F Verbilov & V V Kovalev. (2020) Influence of friction forces in limiter-eyelet contact on twisting angles of the rubber elements of tracked system hinges. IOP Conference Series: Materials Science and Engineering 786:1, pages 012002.
Crossref
Tao Xiong, Jianwan Ding, Yizhong Wu, Liping Chen & Wenjie Hou. (2017) A Method for Solving Large-Scale Multiloop Constrained Dynamical Systems Using Structural Decomposition. Journal of Computational and Nonlinear Dynamics 12:3.
Crossref
Le Zhang & Dingguo Zhang. (2016) A two-loop procedure based on implicit Runge–Kutta method for index-3 DAE of constrained dynamic problems. Nonlinear Dynamics 85:1, pages 263-280.
Crossref
Jun-Youn Jo, Myoung-Ho Kim & Sung-Soo Kim. (2012) An Implicit Integration Method for Joint Coordinate Subsystem Synthesis Method. Transactions of the Korean Society of Mechanical Engineers A 36:4, pages 437-442.
Crossref
Sung Soo Kim, Wan Hee Jeong, Myung Ho Kim & Jong Boo Han. (2012) Comparative study on multibody vehicle dynamics models based on subsystem synthesis method using Cartesian and joint coordinates. Theoretical and Applied Mechanics Letters 2:6, pages 063010.
Crossref
Dan Negrut, Laurent O. Jay & Naresh Khude. (2009) A Discussion of Low-Order Numerical Integration Formulas for Rigid and Flexible Multibody Dynamics. Journal of Computational and Nonlinear Dynamics 4:2.
Crossref
Peter Betsch. (2005) The discrete null space method for the energy consistent integration of constrained mechanical systems. Computer Methods in Applied Mechanics and Engineering 194:50-52, pages 5159-5190.
Crossref
A Sandu, D Negrut, E J Haug, F A Potra & C Sandu. (2005) A Rosenbrock-Nystrom state space implicit approach for the dynamic analysis of mechanical systems: I—theoretical formulation. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 217:4, pages 263-271.
Crossref
Shanshin Chen, John M. Hansen & Daniel A. Tortorelli. (2000) Unconditionally energy stable implicit time integration: application to multibody system analysis and design. International Journal for Numerical Methods in Engineering 48:6, pages 791-822.
Crossref
M. D. Compere & R. G. Longoria. (2000) Combined DAE and Sliding Mode Control Methods for Simulation of Constrained Mechanical Systems. Journal of Dynamic Systems, Measurement, and Control 122:4, pages 691-698.
Crossref
David E. Stewart. (2000) Rigid-Body Dynamics with Friction and Impact. SIAM Review 42:1, pages 3-39.
Crossref
E. J. Haug, D. Negrut & M. Iancu. 1998. Computational Methods in Mechanical Systems. Computational Methods in Mechanical Systems 242 267 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.