Vibro-Impact Behavior of Two Orthogonal Beams
Publication: Journal of Engineering Mechanics
Volume 135, Issue 6
Abstract
Structural interaction between two beam-like structures is a situation that occurs in piping systems, among other applications relevant to the nuclear, petroleum, biomedical, and automotive industries, for instance. This paper analytically investigates the repetitive impact dynamics of two orthogonal pinned–pinned beams subjected to base excitation at specified frequency and acceleration. The orthogonal beam configuration restricts the contact to a single point, and the contact interface is modeled by a spring. Although many approaches have been developed for multibody dynamics, the constraint and modal mapping method is efficiently applied herein to obtain the forced response through modal analysis. The vibration is described in a piecewise fashion as switching between the linear in-contact and not-in-contact states, and compatibility conditions are applied at their junctions. The development of the conjoined mode shapes and their orthogonality is derived in detail. The contact impulse is used to describe the structures’ complex interacting behavior through repetitive impact frequency-response functions. In order to determine major response factors, parameter studies are performed on contact stiffness, relative beam stiffness, contact location, modal damping, and stand-off gap.
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Acknowledgments
The writer acknowledges Jonathan A. Wickert, Department of Mechanical Engineering, Carnegie Mellon University, for his guidance in this work.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 6 • June 2009
Pages: 529 - 537
Copyright
© 2009 ASCE.
History
Received: Sep 27, 2007
Accepted: Dec 30, 2008
Published online: May 15, 2009
Published in print: Jun 2009
Notes
Note. Associate Editor: Andrew W. Smyth
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