Nonsmooth Modeling of Vibro-Impacting Euler-Bernoulli Beam

Vyasarayani, C P and Sandhu, S S and McPhee, J (2012) Nonsmooth Modeling of Vibro-Impacting Euler-Bernoulli Beam. Advances in Acoustics and Vibration. pp. 1-9. ISSN 1687-6261

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Abstract

A new technique to simulate nonsmooth motions occurring in vibro-impacting continuous systems is proposed. Sticking motions that are encountered during vibro-impact simulation are imposed exactly using a Lagrange multiplier, which represents the normal reaction force between the continuous system and the obstacle. The expression for the Lagrange multiplier is developed in closed form. The developed theory is demonstrated by numerically simulating the forced response of a pinned-pinned beam impacting a point-like rigid obstacle.

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IITH Creators:
IITH CreatorsORCiD
Vyasarayani, C Phttp://orcid.org/0000-0002-3396-0484
Item Type: Article
Additional Information: Thanks to Dr. Kingshook Bhattacharyya of IIT Kharagpur for his technical inputs during the course of this study.
Subjects: Physics > Mechanical and aerospace
Divisions: Department of Mechanical & Aerospace Engineering
Depositing User: Mr. Siva Shankar K
Date Deposited: 22 Sep 2014 10:52
Last Modified: 11 Aug 2017 07:02
URI: http://raiith.iith.ac.in/id/eprint/44
Publisher URL: https://doi.org/10.1155/2012/268595
OA policy: http://www.sherpa.ac.uk/romeo/issn/1687-6261/
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