Probability Distribution of Elastic Response Spectrum with Actual Earthquake Data

This study aimed to propose a probability-guaranteed spectrum method to enhance the reliability of seismic building designs, thereby addressing the inadequacy of the current code-specified response spectrum based on mean fortification levels. This study systematically evaluated the fitting performan...

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Main Authors: Qianqian Liang, Jie Wu, Guijuan Lu, Jun Hu
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Buildings
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Online Access:https://www.mdpi.com/2075-5309/15/12/2062
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author Qianqian Liang
Jie Wu
Guijuan Lu
Jun Hu
author_facet Qianqian Liang
Jie Wu
Guijuan Lu
Jun Hu
author_sort Qianqian Liang
collection DOAJ
description This study aimed to propose a probability-guaranteed spectrum method to enhance the reliability of seismic building designs, thereby addressing the inadequacy of the current code-specified response spectrum based on mean fortification levels. This study systematically evaluated the fitting performance of dynamic coefficient spectra under normal, log-normal, and gamma distribution assumptions based on 288 ground motion records from type II sites. MATLAB(2010) parameter fitting and the Kolmogorov–Smirnov test were used, revealing that the gamma distribution optimally characterized spectral characteristics across all period ranges (<i>p</i> < 0.05). This study innovatively established dynamic coefficient spectra curves for various probability guarantee levels (50–80%), quantitatively revealing the insufficient probability assurance of code spectra in the long-period range. Furthermore, this study proposed an evaluation framework for load safety levels of spectral values over the design service period, demonstrating that increasing probability guarantee levels significantly improved safety margins over a 50-year reference period. This method provides probabilistic foundations for the differentiated seismic design of important structures and offers valuable insights for revising current code provisions based on mean spectra.
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spelling doaj-art-151495e1474f44669b1384ef810f3ddb2025-08-20T02:24:23ZengMDPI AGBuildings2075-53092025-06-011512206210.3390/buildings15122062Probability Distribution of Elastic Response Spectrum with Actual Earthquake DataQianqian Liang0Jie Wu1Guijuan Lu2Jun Hu3Institute of Architecture and Art Design, Nanjing Vocational Institute of Railway Technology, Nanjing 210031, ChinaInstitute of Architecture and Art Design, Nanjing Vocational Institute of Railway Technology, Nanjing 210031, ChinaInstitute of Architecture and Art Design, Nanjing Vocational Institute of Railway Technology, Nanjing 210031, ChinaSchool of Civil Engineering and Architecture, Hainan University, Haikou 570228, ChinaThis study aimed to propose a probability-guaranteed spectrum method to enhance the reliability of seismic building designs, thereby addressing the inadequacy of the current code-specified response spectrum based on mean fortification levels. This study systematically evaluated the fitting performance of dynamic coefficient spectra under normal, log-normal, and gamma distribution assumptions based on 288 ground motion records from type II sites. MATLAB(2010) parameter fitting and the Kolmogorov–Smirnov test were used, revealing that the gamma distribution optimally characterized spectral characteristics across all period ranges (<i>p</i> < 0.05). This study innovatively established dynamic coefficient spectra curves for various probability guarantee levels (50–80%), quantitatively revealing the insufficient probability assurance of code spectra in the long-period range. Furthermore, this study proposed an evaluation framework for load safety levels of spectral values over the design service period, demonstrating that increasing probability guarantee levels significantly improved safety margins over a 50-year reference period. This method provides probabilistic foundations for the differentiated seismic design of important structures and offers valuable insights for revising current code provisions based on mean spectra.https://www.mdpi.com/2075-5309/15/12/2062probability distributionprobability safety levelseismic influence dynamic coefficientspectral load
spellingShingle Qianqian Liang
Jie Wu
Guijuan Lu
Jun Hu
Probability Distribution of Elastic Response Spectrum with Actual Earthquake Data
Buildings
probability distribution
probability safety level
seismic influence dynamic coefficient
spectral load
title Probability Distribution of Elastic Response Spectrum with Actual Earthquake Data
title_full Probability Distribution of Elastic Response Spectrum with Actual Earthquake Data
title_fullStr Probability Distribution of Elastic Response Spectrum with Actual Earthquake Data
title_full_unstemmed Probability Distribution of Elastic Response Spectrum with Actual Earthquake Data
title_short Probability Distribution of Elastic Response Spectrum with Actual Earthquake Data
title_sort probability distribution of elastic response spectrum with actual earthquake data
topic probability distribution
probability safety level
seismic influence dynamic coefficient
spectral load
url https://www.mdpi.com/2075-5309/15/12/2062
work_keys_str_mv AT qianqianliang probabilitydistributionofelasticresponsespectrumwithactualearthquakedata
AT jiewu probabilitydistributionofelasticresponsespectrumwithactualearthquakedata
AT guijuanlu probabilitydistributionofelasticresponsespectrumwithactualearthquakedata
AT junhu probabilitydistributionofelasticresponsespectrumwithactualearthquakedata