{"title":"Effects of the Mass and Damping Matrix Model in the Nonlinear Seismic Response of Steel Frames","authors":"A. Reyes-Salazar, M. D. Llanes-Tizoc, E. Bojorquez, F. Valenzuela-Beltran, J. Bojorquez, J. R. Gaxiola-Camacho, A. Haldar","volume":191,"journal":"International Journal of Civil and Environmental Engineering","pagesStart":297,"pagesEnd":306,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10012780","abstract":"
Seismic analysis of steel buildings is usually based on the use of the concentrated mass (ML) matrix and the Rayleigh damping matrix (C). Similarly, the initial stiffness matrix (KO) and the first two modes associated to lateral vibrations are commonly used to develop the matrix C. The evaluation of the accuracy of these practices for the particular case of steel buildings with moment-resisting steel frames constitutes the main objective of this research. For this, the nonlinear seismic responses of three models of steel frames, representing low-, medium- and high-rise steel buildings, are considered. Results indicate that if the ML matrix is used, shears and bending moments in columns are underestimated by up to 30% and 65%, respectively, when compared to the corresponding results obtained with the consistent mass matrix (MC). It is also shown that if KO is used in C instead the tangent stiffness matrix (Kt), axial loads in columns are underestimated by up to 80%. It is concluded that the consistent mass matrix should be used in the structural modelling of moment resisting steel frames and the tangent stiffness matrix should be used to develop the Rayleigh damping matrix. <\/p>","references":"[1]\tGulkan, P., and Sozen, M. (1974). \u201cInelastic response of reinforced concrete structures to earthquake motions.\u201d ACI Journal, 71(12), 604\u2013610.\r\n[2]\tHadjian, A. H. (1982). \u201cA re-evaluation of equivalent linear models for simple yielding systems.\u201d Earthquake Engineering & Structural Dynamics, 10(6), 759\u2013767.\r\n[3]\tIwan, W. D. (1980). \u201cEstimating inelastic response spectra from elastic spectra.\u201d Earthquake Engineering & Structural Dynamics, 8(4), 375\u2013388.\r\n[4]\tJennings, P. C. (1968). \u201cEquivalent viscous damping for yielding structures.\u201d Journal of Engineering Mechanics Division ASCE 1968, 94(1), 103\u2013116.\r\n[5]\tWijesundara, K. K., Nascimbene, R., and Sullivan, T. J. 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