Nonsmooth Modeling of Vibro-Impacting Euler-Bernoulli Beam-Reference-Cited by-同舟云学术

Nonsmooth Modeling of Vibro-Impacting Euler-Bernoulli Beam

Published:2012-09-12 Issue: Volume:2012 Page:1-9
ISSN:1687-6261
Container-title:Advances in Acoustics and Vibration
language:en
Short-container-title:Advances in Acoustics and Vibration

Author:

Vyasarayani C. P.¹,Sandhu Sukhpreet Singh²,McPhee John³

Affiliation:

1. Department of Mechanical Engineering, Indian Institute of Technology Hyderabad, Ordnance Factory Estate, Yeddumailaram 502205, India

2. MSC Software, 101 North Brand Boulevard, Suite 900 Glendale, Santa Ana, CA 91203, USA

3. Systems Design Engineering, University of Waterloo, Waterloo, ON, Canada N2L 3G1

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.

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Hindawi Limited

Subject

Mechanics of Materials,Acoustics and Ultrasonics,Building and Construction

Link

http://downloads.hindawi.com/archive/2012/268595.pdf

Reference25 articles.

1. APPLICATION OF NON-SMOOTH MODELLING TECHNIQUES TO THE DYNAMICS OF A FLEXIBLE IMPACTING BEAM

2. The Role of Beam Flexibility and Ground Contact Model in the Clattering of Deformable Beams

3. Three Approaches for Elastodynamic Contact in Multibody Systems