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Approximate analysis method for displacement responses of structures with active variable stiffness systems

Wu Bo (吴波), Liu Fentao(刘汾涛) and Wei Demin (魏德敏)

Department of Civil Engineering, South China University of Technology, Guangzhou 510640, China

Abstract: The performance of structures with active variable stiffness (AVS) systems exhibits strong nonlinearity due to the variety with time of the stiffness of each storey unit, in which the AVS system is installed. Hence, the classical dynamic analysis method for linear structures, such as the mode-superposition method, is not applicable to structures with AVS systems. In this paper, an approximate analysis method is proposed for displacement responses of structures with AVS systems. Firstly, an equivalent relationship between single-degree-of-freedom (SDOF) structures equipped with AVS systems and so-called fictitious linear structures is established. Then, an approximate mode-superposition (AMS) method is presented for multi-degree-of-freedom (MDOF) structures equipped with AVS systems. The accuracy of this method is investigated through extensive parametrical study using different types of earthquake excitations, and some modification is made to the method. Numerical calculation results indicate that the modified AMS method is effective for estimating the maximum displacements relative to the ground and the maximum interstorey drifts of MDOF structures equipped with AVS systems.

Keywords: active variable stiffness (AVS) systems; approximate mode-superposition (AMS) method; displacement response

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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.