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The MDOF equivalent linear system and its applications in seismic analysis and design of framed structures

Resilient Cities and Structures 2024年第4期3卷 107-125页

作者： E.V.Muho N.A.Kalapodis G.A.Papagiannopoulos D.E.Beskos Department of Disaster Mitigation for Structures Tongji UniversityShanghai 200092China School of Sciences and Technology Hellenic Open UniversityPatras 26335Greece Department of Civil Engineering University of Patras.Patras 26504Greece

This paper reviews the applications of the multi degree-of-freedom(MDOF)equivalent linear system in seismic analysis and design of planar steel and reinforced concrete framed *** equivalent MDOF linear structure,analogous to the original MDOF nonlinear structure,is constructed,which has the same mass and elastic stiffness as the original structure and modal damping ratios that account for the effects of geometrical and material *** equivalence implies a balance between the viscous damping work of the equivalent linear structure and that of the nonlinearities in the original nonlinear *** work balance is established with the aid of a transfer function in the frequency ***,equivalent modal damping ratios can be explicitly determined in terms of the period and deformation levels of the structure as well as the soil *** of these equivalent modal damping ratios can help address a variety of seismic analysis and design problems associated with planar steel and reinforced concrete framed structures in a rational and accurate *** include force-based seismic design with the aid of acceleration response spectra characterized by high amounts of damping,improved direct displacement-based seismic design and the development of advanced seismic intensity *** equivalent modal damping ratios are also utilized in the context of linear modal analysis for the definition and construction of the MDOF response ***,the equivalent modal damping ratios are employed in a seismic retrofit method for steel-framed structures with viscous ***,it is demonstrated that modal behavior(or strength reduction)factors can be easily constructed based on these modal damping ratios for a more rational and accurate force-based seismic design,including the determination of inelastic displacement profiles.

关键词： Seismic analysis Seismic design Steel-framed structures Reinforced concrete-framed structures MDOF equivalent linear system modal damping ratios modal strength reduction factors Seismic intensity measures MDOF response spectrum

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