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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 71
COMPUTATIONAL CIVIL AND STRUCTURAL ENGINEERING
Edited by: G. De Roeck and B.H.V. Topping
Paper VIII.3

A New Parametric Storey Non-Linearity Including Hysteresis Behaviour in the Dynamic Analysis of Buildings under Bi-Directional Seismic Action

N.A. Alexander+, N. Goorvadoo+, F.A. Noor+ and A.A. Chanerley#

+Department of Civil Engineering
#Department of Electrical Engineering, University of East London, London, United Kingdom

Full Bibliographic Reference for this paper
N.A. Alexander, N. Goorvadoo, F.A. Noor, A.A. Chanerley, "A New Parametric Storey Non-Linearity Including Hysteresis Behaviour in the Dynamic Analysis of Buildings under Bi-Directional Seismic Action", in G. De Roeck, B.H.V. Topping, (Editors), "Computational Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 169-176, 2000. doi:10.4203/ccp.71.8.3
Abstract
This paper is an extension to the parametric elastic storey model, which includes both non-linear elastic, inelastic and hysteretic behaviour. Using a multidimensional Taylor series expansion, the linear elastic stiffness matrix for a storey is extended and developed to include parametric storey nonlinearity. This includes a quadratic hypersurface elastic storey non-linearity, which is used to model the process of deforming. A single nonlinear parameter used in defining this model is shown to be a function of reduction factor and natural frequency. A yielding criterion is defined. A hyperplane is used for undeforming resulting in hysteretic behaviour. The computational algorithm is described. Numerical results from the seismic studies are presented.

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