Vibration absorption using non-dissipative complex attachments with impacts and parametric stiffness

Date
2009
Authors
Roveri, N.
Carcaterra, A.
Akay, A.
Advisor
Supervisor
Co-Advisor
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Instructor
Source Title
Journal of the Acoustical Society of America
Print ISSN
0001-4966
Electronic ISSN
Publisher
Acoustical Society of America
Volume
126
Issue
5
Pages
2306 - 2314
Language
English
Type
Article
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Abstract

Studies on prototypical systems that consist of a set of complex attachments, coupled to a primary structure characterized by a single degree of freedom system, have shown that vibratory energy can be transported away from the primary through use of complex undamped resonators. Properties and use of these subsystems as by energy absorbers have also been proposed, particularly using attachments that consist of a large set of resonators. These ideas have been originally developed for linear systems and they provided insight into energy sharing phenomenon in large structures like ships, airplanes, and cars, where interior substructures interact with a master structure, e.g., the hull, the fuselage, or the car body. This paper examines the effects of nonlinearities that develop in the attachments, making them even more complex. Specifically, two different nonlinearities are considered: (1) Those generated by impacts that develop among the attached resonators, and (2) parametric effects produced by time-varying stiffness of the resonators. Both the impacts and the parametric effects improve the results obtained using linear oscillators in terms of inhibiting transported energy from returning to the primary structure. The results are indeed comparable with those obtained using linear oscillators but with special frequency distributions, as in the findings of some recent papers by the same authors. Numerically obtained results show how energy is confined among the attached oscillators. © 2009 Acoustical Society of America.

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Keywords
Car bodies, Energy absorbers, Energy sharings, Frequency distributions, Large structures, Linear oscillator, Non-Linearity, Parametric effects, Primary structures, Single degree of freedom systems, Time-varying stiffness, Vibration absorption, Vibratory energy
Citation
Published Version (Please cite this version)