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Transient response of a beam on viscoelastic foundation under an impact load during nondestructive testing

Lu Sun (孙 璐), Feiquan Luo (罗飞全) and Tung-Huei Chen (陈东晖)

Department of Civil Engineering, Catholic University of America, 620 Michigan Ave. N.E., Washington D.C. 20064, USA

Abstract: Beam responses under an impact NDT load are studied using the Fourier and Laplace transforms. Numerical computation is performed for a parametric study of beam and load parameters. It is shown that under an impact load, the time duration for displacement to vanish is ten times longer than that for velocity and acceleration. The maximum response is achieved first in acceleration, followed by velocity, and finally displacement, all of which occur before the impact load is removed. At the moment that the impact load is removed from the beam, there is a discontinuity in the velocity and acceleration responses, but not in displacement response. The effect of K and ρh on beam response is much less significant than that of EI and C, which have similar effect on beam response. As EI increases, peak values of displacement, velocity and acceleration response decrease. The effect of K on beam response only becomes appreciable after the impact load is removed. While the peak of displacement remain almost unchanged as K increases, the displacement response decays to zero faster for large K values than for small K values.

Keywords: beam; acceleration; impact load; Laplace transform; Fourier transform

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Copyright 2009 IEM. Journal of Earthquake Engineering and Engineering Vibration. All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as described below, without written permission from the Publisher. Copying of articles is not permitted except for personal and internal use, to the extent permitted by national copyright law, or under the terms of a license issued by the National Reproduction Rights Organization of China.