Seismic reliability of non-linear frames with PR connections using systematic RSM

Jungwon Huh, Achintya Haldar

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

An effective, efficient, and robust reliability analysis algorithm is proposed for non-linear structures, where seismic loading can be applied in the time domain. The method is developed specifically for steel frame structures considering all major sources of non-linearity, including geometry, material, and partially restrained (PR) connections. The non-linearity due to PR connections is modeled by moment-relative rotation curves using the four-parameter Richard model. For seismic excitation, the loading, unloading, and reloading behavior at PR connections is modeled using moment-relative rotation curves and the Masing rule. The proposed algorithm intelligently integrates the response surface method, the finite element method, the first-order reliability method, and an iterative linear interpolation scheme. The uncertainties in all the random variables including the four parameters of Richard model are considered. Two unique features of the proposed algorithm are that (1) actual earthquake time histories can be used to excite structures in the presence of major sources of non-linearity and uncertainty and (2) it is possible to estimate the risk corresponding to both the serviceability and strength limit states. The algorithm is verified using the Monte Carlo simulation technique. The verified algorithm is first used to study the reliability of a frame structure in the presence of PR connections with different degrees of flexibility. Then the algorithm is used to estimate the reliability of a frame structure excited by 13 actual recorded earthquake time histories, 12 of them recorded during the Northridge earthquake of 1994. As expected, the reliabilities of the frame are found to be quite different, when excited by several time histories of the Northridge earthquake.

Original languageEnglish (US)
Pages (from-to)177-190
Number of pages14
JournalProbabilistic Engineering Mechanics
Volume17
Issue number2
DOIs
StatePublished - Apr 2002

Fingerprint

Earthquakes
earthquakes
nonlinearity
histories
reliability analysis
moments
random variables
unloading
curves
estimates
Reliability analysis
Unloading
Random variables
interpolation
Interpolation
flexibility
finite element method
steels
Finite element method
Geometry

Keywords

  • Central composite design
  • First-order reliability method
  • M-θ curve
  • Monte Carlo simulation
  • Partially restrained connections
  • Reliability index
  • Response surface method
  • Saturated design
  • Seismic loading
  • Serviceability limit state
  • Strength limit state

ASJC Scopus subject areas

  • Mechanical Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Seismic reliability of non-linear frames with PR connections using systematic RSM. / Huh, Jungwon; Haldar, Achintya.

In: Probabilistic Engineering Mechanics, Vol. 17, No. 2, 04.2002, p. 177-190.

Research output: Contribution to journalArticle

@article{5c298120e00249099fa3899eb796b9c4,
title = "Seismic reliability of non-linear frames with PR connections using systematic RSM",
abstract = "An effective, efficient, and robust reliability analysis algorithm is proposed for non-linear structures, where seismic loading can be applied in the time domain. The method is developed specifically for steel frame structures considering all major sources of non-linearity, including geometry, material, and partially restrained (PR) connections. The non-linearity due to PR connections is modeled by moment-relative rotation curves using the four-parameter Richard model. For seismic excitation, the loading, unloading, and reloading behavior at PR connections is modeled using moment-relative rotation curves and the Masing rule. The proposed algorithm intelligently integrates the response surface method, the finite element method, the first-order reliability method, and an iterative linear interpolation scheme. The uncertainties in all the random variables including the four parameters of Richard model are considered. Two unique features of the proposed algorithm are that (1) actual earthquake time histories can be used to excite structures in the presence of major sources of non-linearity and uncertainty and (2) it is possible to estimate the risk corresponding to both the serviceability and strength limit states. The algorithm is verified using the Monte Carlo simulation technique. The verified algorithm is first used to study the reliability of a frame structure in the presence of PR connections with different degrees of flexibility. Then the algorithm is used to estimate the reliability of a frame structure excited by 13 actual recorded earthquake time histories, 12 of them recorded during the Northridge earthquake of 1994. As expected, the reliabilities of the frame are found to be quite different, when excited by several time histories of the Northridge earthquake.",
keywords = "Central composite design, First-order reliability method, M-θ curve, Monte Carlo simulation, Partially restrained connections, Reliability index, Response surface method, Saturated design, Seismic loading, Serviceability limit state, Strength limit state",
author = "Jungwon Huh and Achintya Haldar",
year = "2002",
month = "4",
doi = "10.1016/S0266-8920(02)00002-4",
language = "English (US)",
volume = "17",
pages = "177--190",
journal = "Probabilistic Engineering Mechanics",
issn = "0266-8920",
publisher = "Elsevier Limited",
number = "2",

}

TY - JOUR

T1 - Seismic reliability of non-linear frames with PR connections using systematic RSM

AU - Huh, Jungwon

AU - Haldar, Achintya

PY - 2002/4

Y1 - 2002/4

N2 - An effective, efficient, and robust reliability analysis algorithm is proposed for non-linear structures, where seismic loading can be applied in the time domain. The method is developed specifically for steel frame structures considering all major sources of non-linearity, including geometry, material, and partially restrained (PR) connections. The non-linearity due to PR connections is modeled by moment-relative rotation curves using the four-parameter Richard model. For seismic excitation, the loading, unloading, and reloading behavior at PR connections is modeled using moment-relative rotation curves and the Masing rule. The proposed algorithm intelligently integrates the response surface method, the finite element method, the first-order reliability method, and an iterative linear interpolation scheme. The uncertainties in all the random variables including the four parameters of Richard model are considered. Two unique features of the proposed algorithm are that (1) actual earthquake time histories can be used to excite structures in the presence of major sources of non-linearity and uncertainty and (2) it is possible to estimate the risk corresponding to both the serviceability and strength limit states. The algorithm is verified using the Monte Carlo simulation technique. The verified algorithm is first used to study the reliability of a frame structure in the presence of PR connections with different degrees of flexibility. Then the algorithm is used to estimate the reliability of a frame structure excited by 13 actual recorded earthquake time histories, 12 of them recorded during the Northridge earthquake of 1994. As expected, the reliabilities of the frame are found to be quite different, when excited by several time histories of the Northridge earthquake.

AB - An effective, efficient, and robust reliability analysis algorithm is proposed for non-linear structures, where seismic loading can be applied in the time domain. The method is developed specifically for steel frame structures considering all major sources of non-linearity, including geometry, material, and partially restrained (PR) connections. The non-linearity due to PR connections is modeled by moment-relative rotation curves using the four-parameter Richard model. For seismic excitation, the loading, unloading, and reloading behavior at PR connections is modeled using moment-relative rotation curves and the Masing rule. The proposed algorithm intelligently integrates the response surface method, the finite element method, the first-order reliability method, and an iterative linear interpolation scheme. The uncertainties in all the random variables including the four parameters of Richard model are considered. Two unique features of the proposed algorithm are that (1) actual earthquake time histories can be used to excite structures in the presence of major sources of non-linearity and uncertainty and (2) it is possible to estimate the risk corresponding to both the serviceability and strength limit states. The algorithm is verified using the Monte Carlo simulation technique. The verified algorithm is first used to study the reliability of a frame structure in the presence of PR connections with different degrees of flexibility. Then the algorithm is used to estimate the reliability of a frame structure excited by 13 actual recorded earthquake time histories, 12 of them recorded during the Northridge earthquake of 1994. As expected, the reliabilities of the frame are found to be quite different, when excited by several time histories of the Northridge earthquake.

KW - Central composite design

KW - First-order reliability method

KW - M-θ curve

KW - Monte Carlo simulation

KW - Partially restrained connections

KW - Reliability index

KW - Response surface method

KW - Saturated design

KW - Seismic loading

KW - Serviceability limit state

KW - Strength limit state

UR - http://www.scopus.com/inward/record.url?scp=0036532172&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036532172&partnerID=8YFLogxK

U2 - 10.1016/S0266-8920(02)00002-4

DO - 10.1016/S0266-8920(02)00002-4

M3 - Article

AN - SCOPUS:0036532172

VL - 17

SP - 177

EP - 190

JO - Probabilistic Engineering Mechanics

JF - Probabilistic Engineering Mechanics

SN - 0266-8920

IS - 2

ER -