Abstract
The structural engineering community often deals with the issue of inelastic incursions of the structural response. Although buildings situated in seismic regions are usually designed using elastic analysis, most encounter significant inelastic deformations when major events occur. In general, material nonlinearity is the most important source of nonlinearity considered in the dynamic analysis commonly performed in structural design. In this paper, the recent concept of the force analogy method for 3D structures is developed and integrated into an accurate computational efficient algorithmic routine for nonlinear dynamic analysis of reinforced concrete frames. Moreover, a unique straightforward mathematical model for the numerical implementation of degrading cyclic behavior of structural elements is proposed and further used to simulate the response of a 10 story reinforced concrete frame structure. A set of nonlinear dynamic analyses are performed using the proposed algorithm in order to assess the structural damage in case of different peak ground accelerations seismic recordings. The seismic structural damage is evaluated using both structural response parameters expressed in terms of displacement and energy concepts.
Highlights
The main scope of this paper is to introduce a straightforward numerical routine developed in Matlab/Simulink for nonlinear dynamic analysis of reinforced concrete (RC) frames using the insights of the force analogy method coupled with an explicit integration scheme
The accuracy of the proposed numerical algorithm is further validated through a comparison of the structural response with the results obtained by commercial software commonly used by structural engineers in structural design
The energy balance time history was calculated using a seismic input scaled with a scale factor of 1.4
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The technology evolution and its current availability oblige the structural engineers to move forward and to consider more advanced analysis methods, which take into account the full nonlinear dynamic behavior of the structural elements as well as more accurate models in terms of seismic excitation. Among the methods available to determine the nonlinear dynamic structural response [2], the force analogy method (FAM) has proved to be both accurate and numerical efficient [3]. Using the force analogy method, Toloue I. et al [8] investigated the seismic performances of two plane portal frames, one modeled with Timoshenko and one using Bernoulli beam finite element They showed that the resulting differences in structural response are not significant for engineering purposes. The entire algorithm is implemented in a finite element-based numerical routine developed in Matlab/Simulink
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