New Approach to Nonlinear Dynamic Analysis of Reinforced Concrete 3D Frames; An Accurate and Computational Efficient Mathematical Model

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, mater...

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Main Authors: Ruben Iacob Munteanu, Florin Moţa, Vasile Calofir, Cătălin Baciu
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/3/1692
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author Ruben Iacob Munteanu
Florin Moţa
Vasile Calofir
Cătălin Baciu
author_facet Ruben Iacob Munteanu
Florin Moţa
Vasile Calofir
Cătălin Baciu
author_sort Ruben Iacob Munteanu
collection DOAJ
description 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.
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spelling doaj.art-f67464d74dd74123bb4c4d798491aa5e2023-11-23T16:01:53ZengMDPI AGApplied Sciences2076-34172022-02-01123169210.3390/app12031692New Approach to Nonlinear Dynamic Analysis of Reinforced Concrete 3D Frames; An Accurate and Computational Efficient Mathematical ModelRuben Iacob Munteanu0Florin Moţa1Vasile Calofir2Cătălin Baciu3Department of Automatic Control and Industrial Informatics, Politehnica University of Bucharest, 060042 Bucharest, RomaniaDepartment of Reinforced Concrete, Technical University of Civil Engineering, 020396 Bucharest, RomaniaDepartment of Automatic Control and Industrial Informatics, Politehnica University of Bucharest, 060042 Bucharest, RomaniaMilitary Technical Academy, 050141 Bucharest, RomaniaThe 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.https://www.mdpi.com/2076-3417/12/3/1692nonlinear dynamic analysisplastic rotationinelastic displacementMatlab/Simulinknumeric integration
spellingShingle Ruben Iacob Munteanu
Florin Moţa
Vasile Calofir
Cătălin Baciu
New Approach to Nonlinear Dynamic Analysis of Reinforced Concrete 3D Frames; An Accurate and Computational Efficient Mathematical Model
Applied Sciences
nonlinear dynamic analysis
plastic rotation
inelastic displacement
Matlab/Simulink
numeric integration
title New Approach to Nonlinear Dynamic Analysis of Reinforced Concrete 3D Frames; An Accurate and Computational Efficient Mathematical Model
title_full New Approach to Nonlinear Dynamic Analysis of Reinforced Concrete 3D Frames; An Accurate and Computational Efficient Mathematical Model
title_fullStr New Approach to Nonlinear Dynamic Analysis of Reinforced Concrete 3D Frames; An Accurate and Computational Efficient Mathematical Model
title_full_unstemmed New Approach to Nonlinear Dynamic Analysis of Reinforced Concrete 3D Frames; An Accurate and Computational Efficient Mathematical Model
title_short New Approach to Nonlinear Dynamic Analysis of Reinforced Concrete 3D Frames; An Accurate and Computational Efficient Mathematical Model
title_sort new approach to nonlinear dynamic analysis of reinforced concrete 3d frames an accurate and computational efficient mathematical model
topic nonlinear dynamic analysis
plastic rotation
inelastic displacement
Matlab/Simulink
numeric integration
url https://www.mdpi.com/2076-3417/12/3/1692
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