Modeling the Rocking and Sliding of Free-Standing Objects Using Rigid Body Dynamics
Publication: Journal of Engineering Mechanics
Volume 146, Issue 6
Abstract
A rigid body dynamics algorithm is presented in this paper to simulate the interaction between two rigid bodies, a free-standing rigid object, and a pedestal that has infinite mass, in the presence of static and kinetic friction forces. Earlier algorithms led to different solutions for the contact forces when parameters external to problem description, such as the ordering of contact points, are changed. This paper addresses the issue of selecting an appropriate solution for the contact forces and impulses from the infinite set of solutions by picking the solution that is closest to the previous state of the rigid body. The capability of this algorithm in simulating pure rocking, pure sliding, and coupled rocking-sliding response modes of a rectangular block is validated using analytical/semianalytical results. This validated algorithm is later used to identify the various response modes of a rectangular block, which is given an initial tilt and then released.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request. All formulations and algorithms necessary to reproduce the results of this study are described in the paper. The data supporting the findings of this work in Figs. 7–9 are available from the corresponding author upon reasonable request.
Acknowledgments
This research project has been supported by National Science Foundation (NSF Award EAR-1247029), the USGS, and Southern California Earthquake Center (SCEC). We would also like to thank two anonymous reviewers for their thoughtful review, which significantly improved the article.
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 6 • June 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Nov 7, 2018
Accepted: Sep 11, 2019
Published online: Mar 26, 2020
Published in print: Jun 1, 2020
Discussion open until: Aug 26, 2020
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