Premium
Response analysis of reinforced concrete structures under seismic excitation
Author(s) -
Mørk K. J.
Publication year - 1994
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290230104
Subject(s) - structural engineering , bending moment , curvature , stiffness , seismic loading , moment (physics) , mathematics , engineering , physics , geometry , classical mechanics
The theoretical background and capabilities of a program for response analysis of reinforced concrete structures under seismic excitation are presented. The emphasis is on the analysis of stiffness and strength degradation due to severe plastic deformations. An extended version of the model of Roufaiel–Meyer is utilized as the constitutive moment–curvature relation. This takes into account the transition from uncracked to cracked sections, including a mechanism for strength deterioration. The finite length of plastic end zones is taken into account by controlling the plasticity in certain sections and at internal cross sections of the members. Incremental bending stiffness corresponding to the local bending axes of the elements between these control sections is determined by linear interpolation. The stochastic earthquake excitation may be specified either as a standardized acceleration time‐series applied at the earth surface and scaled with stochastically varying maximum acceleration and duration, or as an intensity modulated Gaussian white noise process filtered through a Kanai–Tajimi filter. Based on Monte‐Carlo simulation, the program calculates the mean values and standard deviations of storey displacements, bending moments in critical sections and maximum softening damage indicators, defined from the lower time‐averaged eigenperiods. An adaptive system reduction scheme has been implemented based on a truncated expansion of external nodal point degrees‐of‐freedom in the linear eigenmodes of the initial undamaged structure. A full description of the internal degrees‐of‐freedom controlling the hysteresis is maintained. In order to demonstrate the ability of the program to predict the actual seismic response of reinforced concrete structures, computed results were compared to the experimentally recorded results of a 10‐storey 4‐bay reinforced concrete model.