CUED Publications database

The interaction of elasticity and rocking in flexible structures allowed to uplift

Acikgoz, S and Dejong, MJ (2012) The interaction of elasticity and rocking in flexible structures allowed to uplift. Earthquake Engineering and Structural Dynamics, 41. pp. 2177-2194. ISSN 0098-8847

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Abstract

Numerous structures uplift under the influence of strong ground motion. Although many researchers have investigated the effects of base uplift on very stiff (ideally rigid) structures, the rocking response of flexible structures has received less attention. Related practical analysis methods treat these structures with simplified 'equivalent' oscillators without directly addressing the interaction between elasticity and rocking. This paper addresses the fundamental dynamics of flexible rocking structures. The nonlinear equations of motion, derived using a Lagrangian formulation for large rotations, are presented for an idealized structural model. Particular attention is devoted to the transition between successive phases; a physically consistent classical impact framework is utilized alongside an energy approach. The fundamental dynamic properties of the flexible rocking system are compared with those of similar linear elastic oscillators and rigid rocking structures, revealing the distinct characteristics of flexible rocking structures. In particular, parametric analysis is performed to quantify the effect of elasticity on uplift, overturning instability, and harmonic response, from which an uplifted resonance emerges. The contribution of stability and strength to the collapse of flexible rocking structures is discussed. © 2012 John Wiley & Sons, Ltd.

Item Type: Article
Uncontrolled Keywords: Analytical dynamics Earthquake engineering Overturning Resonance Rocking Uplift
Subjects: UNSPECIFIED
Divisions: Div D > Structures
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 12:14
Last Modified: 08 Dec 2014 02:35
DOI: 10.1002/eqe.2181