A Multimode Pushover Procedure for Asymmetric Buildings Under Biaxial Seismic Excitation

In this chapter, a new multimode pushover procedure is presented in order to achieve an approximate estimation of structural performance of asymmetric buildings under biaxial seismic excitation. The steps of the proposed methodology are quite similar to t

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A Multimode Pushover Procedure for Asymmetric Buildings Under Biaxial Seismic Excitation Grigorios E. Manoukas, Asimina M. Athanatopoulou, and Ioannis E. Avramidis

Abstract In this chapter, a new multimode pushover procedure is presented in order to achieve an approximate estimation of structural performance of asymmetric buildings under biaxial seismic excitation. The steps of the proposed methodology are quite similar to those of the well-known modal pushover analysis. However, the properties of the equivalent single-degree-of-freedom (E-SDOF) systems are modified properly, in order to take into account multidirectional seismic effects. The main scope of this methodology is to avoid additional errors introduced by simplified superposition formulas adopted by codes. In addition, a reduction of the computational cost as compared to other multimode procedures is achieved. After a brief outline of the theoretical background, the sequence of steps needed for the implementation of the proposed methodology is presented. Finally, the accuracy of the proposed methodology is evaluated by an extensive parametric study, which shows that, in general, it provides a useful and conservative design tool.

13.1 Introduction Static pushover analysis (SPA) is a widely accepted procedure for the approximate estimation of the inelastic performance of buildings under strong earthquake ground motions. In the last decades, a series of more or less similar variants of the procedure have been developed, some of which have been already adopted by several seismic codes and prestandards (American Society of Civil Engineers 2008; Applied Technology Council (ATC) 1996; European Committee for Standardization 2004, etc.). Engineering practitioners often prefer to apply SPA in order to avoid the significant computational cost and the various inherent disadvantages of a more G.E. Manoukas • A.M. Athanatopoulou () • I.E. Avramidis Aristotle University of Thessaloniki, University Campus, 54124 Thessaloniki, Macedonia, Greece e-mail: [email protected]; [email protected]; [email protected] O. Lavan and M. De Stefano (eds.), Seismic Behaviour and Design of Irregular and Complex Civil Structures, Geotechnical, Geological and Earthquake Engineering 24, DOI 10.1007/978-94-007-5377-8__13, © Springer ScienceCBusiness Media Dordrecht 2013

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accurate inelastic dynamic analysis. Thus, SPA, or nonlinear static procedure (NSP) as it is named in seismic codes, became a very popular and useful tool for the earthquake-resistant design of new as well as the seismic rehabilitation of existing buildings. However, as it has already been stressed by many researchers (e.g., Krawinkler and Seneviratna 1998; Goel and Chopra 2004), this procedure involves many shortcomings and can provide reasonable results only for low- and medium-rise planar systems. This is mainly due to the fact that the determination of the structure’s response is based on the assumption that its dynamic behavior depends only on a single elastic vibration mode. In ad