This paper presents an explicit to integrate differential algebraic equations (DAEs) method for simulations of constrained mechanical systems modeled with holonomic and nonholonomic constraints. The proposed DAE integrator is based on the equation of constrained motion developed in Part I of this work, which is discretized here using explicit ordinary differential equation schemes and applied to solve two nontrivial examples. The obtained results show that this integrator allows one to precisely solve constrained mechanical systems through long time periods. Unlike many other implicit DAE solvers which utilize iterative constraint correction, the presented DAE integrator is explicit, and it does not use any iteration. As a direct consequence, the present formulation is simple to implement, and is also well suited for real-time applications.
Skip Nav Destination
e-mail: michael.goldfarb@vanderbilt.edu
Article navigation
July 2012
Research Papers
Simulation of Constrained Mechanical Systems—Part II: Explicit Numerical Integration
David J. Braun,
David J. Braun
School of Informatics, University of Edinburgh
, 10 Crichton Street,Edinburgh EH8 9AB,UK
david.braun@vanderbilt.edudavid.braun@ed.ac.uk
Search for other works by this author on:
Michael Goldfarb
Michael Goldfarb
Department of Mechanical Engineering,
e-mail: michael.goldfarb@vanderbilt.edu
Vanderbilt University
, VU Station B 351592,Nashville, TN 37235
Search for other works by this author on:
David J. Braun
School of Informatics, University of Edinburgh
, 10 Crichton Street,Edinburgh EH8 9AB,UK
david.braun@vanderbilt.edudavid.braun@ed.ac.uk
Michael Goldfarb
Department of Mechanical Engineering,
Vanderbilt University
, VU Station B 351592,Nashville, TN 37235e-mail: michael.goldfarb@vanderbilt.edu
J. Appl. Mech. Jul 2012, 79(4): 041018 (6 pages)
Published Online: May 16, 2012
Article history
Received:
December 11, 2010
Revised:
October 21, 2011
Posted:
February 1, 2012
Published:
May 16, 2012
Citation
Braun, D. J., and Goldfarb, M. (May 16, 2012). "Simulation of Constrained Mechanical Systems—Part II: Explicit Numerical Integration." ASME. J. Appl. Mech. July 2012; 79(4): 041018. https://doi.org/10.1115/1.4005573
Download citation file:
Get Email Alerts
Cited By
The Stress State in an Elastic Disk Due to a Temperature Variation in One Sector
J. Appl. Mech (November 2024)
Related Articles
A Combined Penalty and Recursive Real-Time Formulation for Multibody Dynamics
J. Mech. Des (July,2004)
Maneuvering and Vibrations Control of a Free-Floating Space Robot with Flexible Arms
J. Dyn. Sys., Meas., Control (September,2011)
An Ordinary Differential Equation Formulation for Multibody Dynamics: Nonholonomic Constraints
J. Comput. Inf. Sci. Eng (March,2017)
An Ordinary Differential Equation Formulation for Multibody Dynamics: Holonomic Constraints
J. Comput. Inf. Sci. Eng (June,2016)
Related Proceedings Papers
Related Chapters
Composing Elements and Kinematics Simulation of Three Gear-Plates Planet Drive with Small Teeth Difference Used in Robot
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
Accuracy-associated Models
Mechanics of Accuracy in Engineering Design of Machines and Robots Volume I: Nominal Functioning and Geometric Accuracy
FSF of Serial-kinematics Systems
Mechanics of Accuracy in Engineering Design of Machines and Robots Volume I: Nominal Functioning and Geometric Accuracy