Seismic Response of Squat Rigid Bodies on Inclined Planes with Rigid Boundaries
Publication: Journal of Engineering Mechanics
Volume 140, Issue 1
Abstract
A planar rigid-body dynamics formulation describing the seismic behavior of a squat rectangular rigid body initially resting on an inclined rigid plane is presented. The downslope motion of the body is limited by a rigid boundary perpendicular to the inclined plane. This type of problem appears in several practical applications. Coulomb and hysteretic friction with velocity- and pressure-dependent properties are considered at the body-to-ground interface. The weaknesses of hysteretic friction models incorporating static and kinetic velocity-dependent components are identified and remedied. Impact models for collision of the body with the rigid boundary and the inclined plane are also derived. The formulation is embodied in a numerical model through a dedicated computer code. A comparative study is conducted to demonstrate the effects on the body response of major model characteristics, including the rigid boundary; inclination angle; Coulomb, hysteretic, and combined Coulomb-hysteretic friction; and velocity dependence of the frictional properties. It is shown that the presence of the rigid boundary considerably affects the body response, and that small inclination angles can significantly limit the outward body displacement.
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Acknowledgments
The Bodossaki Foundation is acknowledged for providing partial financial support to the first author. The reviewers are also acknowledged for their comments and suggestions, which helped substantially improve the quality of this manuscript.
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 1 • January 2014
Pages: 149 - 158
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Oct 13, 2012
Accepted: Apr 29, 2013
Published online: May 2, 2013
Published in print: Jan 1, 2014
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