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Advances in Materials Science and Engineering
Volume 2014, Article ID 730324, 10 pages
Research Article

Evaluation of the Response of Posttensioned Steel Frames with Energy Dissipators Using Equivalent Single-Degree-of-Freedom Systems

1Facultad de Ingeniería, Universidad Autónoma de Sinaloa, Calzada de las Américas y Boulevard Universitarios S/N, Ciudad Universitaria, CP 80040, Culiacán Rosales, SIN, Mexico
2Coordinación de Mecánica Aplicada, Instituto de Ingeniería, Universidad Nacional Autónoma de México, Ciudad Universitaria, CP 04510, Coyoacán, Mexico

Received 25 March 2014; Revised 10 June 2014; Accepted 12 June 2014; Published 2 July 2014

Academic Editor: Jun Zhang

Copyright © 2014 J. Luz Rivera et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The hysteretic energy ( ) dissipated in posttensioned steel frames (PTSF) with hysteretic dampers is calculated by using equivalent single-degree-of-freedom systems (ESDOFS), where the nonlinearity of both the steel bars (beam and columns) and the connections of the structural frame is separately considered. Five multi-degree-of-freedom (MDOFS) PTSF and their corresponding ESDOFS are studied under the action of 30 seismic motions recorded in soft ground, scaled in terms of the spectral pseudoacceleration evaluated at the fundamental period of the structures. Several simple mathematical expressions are proposed. The first expression is useful to calculate modifying factors ( ) to relate of the ESDOFS with that of the MDOFS; the second is to determine the interstory drift (γ) as a function of the seismic intensity. The third equation is to calculate the factor of the relative participation of the energy that the connections dissipate with respect to the total energy and the fourth equation, which is function of the γ, is to obtain the distribution factors of through the height of the structure. The methodology proposed can be used for the design or the structural revision of PTSF with dampers.