Journal of Structural and Construction Engineering

Journal of Structural and Construction Engineering

The estimation of incremental dynamic analysis diagram based on the N2 method according to the Park-Ang damage model

Document Type : Original Article

Authors
Rasool N.Farahani 1
Gholamreza Abdollahzadeh 2
Alireza Mirza Goltabar Roshan 3
1 PhD. Candidate, Department of civil engineering, Babol Noshirvani University of Technology, Babol, Iran
2 Professor, Department of civil engineering, Babol Noshirvani University of Technology, Babol, Iran
3 Associate Professor, Faculty of Civil Engineering, Noshirvani University of ‎Technology, Babol, Iran
10.22065/jsce.2024.414678.3213
Abstract
This paper aims to estimate the maximum target displacement and structural performance at different damage levels under Incremental Dynamic Analysis (IDA) based on the Park-Ang damage index model. The mentioned method is based on the intersection of the pushover capacity curve with the seismic risk demand curve, known as the N2 method, and the development of the energy-based Incremental Dynamic Analysis (IDA) until the collapse condition. Therefore, the nonlinear response acceleration ratio based on the Park-Ang damage model at different damage levels and periods of vibration was determined to develop the nonlinear response spectra from the elastic ones. Then, a relationship between the strength reduction factor (R), damage model, and period of vibration (R-DI-T) was extended to predict the target displacement at the desired seismic hazard level, known as the performance point. Also, the mathematical equations based on least-square nonlinear regression analysis were obtained to estimate the maximum nonlinear acceleration ratio and R-DI-T relation. Three 1-, 7-, and 10-story steel moment resisting frames and two empirical reinforced concrete (RC) pier were used to evaluate the accuracy of the proposed method. Statistical results show that the difference between estimated and mean displacements obtained from nonlinear time history analysis is not higher than 20%. Also, the mentioned difference is valid for IN2 diagrams achieved from the estimated and direct values.
Keywords
Target Displacement
Damage Index
Park-Ang
Spectrum
Incremental Dynamic Analysis

Subjects

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Journal of Structural and Construction Engineering
Volume 11, Issue 7 - Serial Number 84
October 2024
Pages 123-150

  • Receive Date 03 September 2023
  • Revise Date 17 December 2023
  • Accept Date 25 January 2024