TY - JOUR
T1 - System-reliability-based design and topology optimization of structures under constraints on first-passage probability
AU - Chun, Junho
AU - Song, Junho
AU - Paulino, Glaucio H.
N1 - Funding Information:
The authors gratefully acknowledge funding provided by the National Science Foundation (NSF) through projects 1234243 and 1663244. The second author acknowledges the support from the Institute of Engineering Research at Seoul National University. The third author acknowledges support from the Raymond Allen Jones Chair at the Georgia Institute of Technology. The information provided in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsoring agencies.
Funding Information:
The authors gratefully acknowledge funding provided by the National Science Foundation ( NSF ) through projects 1234243 and 1663244. The second author acknowledges the support from the Institute of Engineering Research at Seoul National University . The third author acknowledges support from the Raymond Allen Jones Chair at the Georgia Institute of Technology . The information provided in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsoring agencies.
Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2019/1
Y1 - 2019/1
N2 - For the purpose of reliability assessment of a structure subject to stochastic excitations, the probability of the occurrence of at least one failure event over a time interval, i.e. the first-passage probability, often needs to be evaluated. In this paper, a new method is proposed to incorporate constraints on the first-passage probability into reliability-based optimization of structural design or topology. For efficient evaluations of first-passage probability during the optimization, the failure event is described as a series system event consisting of instantaneous failure events defined at discrete time points. The probability of the series system event is then computed by use of a system reliability analysis method termed as the sequential compounding method. The adjoint sensitivity formulation is derived for calculating the parameter sensitivity of the first-passage probability to facilitate the use of efficient gradient-based optimization algorithms. The proposed method is successfully demonstrated by numerical examples of a space truss and building structures subjected to stochastic earthquake ground motions.
AB - For the purpose of reliability assessment of a structure subject to stochastic excitations, the probability of the occurrence of at least one failure event over a time interval, i.e. the first-passage probability, often needs to be evaluated. In this paper, a new method is proposed to incorporate constraints on the first-passage probability into reliability-based optimization of structural design or topology. For efficient evaluations of first-passage probability during the optimization, the failure event is described as a series system event consisting of instantaneous failure events defined at discrete time points. The probability of the series system event is then computed by use of a system reliability analysis method termed as the sequential compounding method. The adjoint sensitivity formulation is derived for calculating the parameter sensitivity of the first-passage probability to facilitate the use of efficient gradient-based optimization algorithms. The proposed method is successfully demonstrated by numerical examples of a space truss and building structures subjected to stochastic earthquake ground motions.
KW - First-passage probability
KW - Parameter sensitivity
KW - Reliability-based design optimization
KW - Reliability-based topology optimization
KW - Sequential compounding method
KW - Stochastic excitation
KW - System reliability
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U2 - 10.1016/j.strusafe.2018.06.006
DO - 10.1016/j.strusafe.2018.06.006
M3 - Article
AN - SCOPUS:85053049394
SN - 0167-4730
VL - 76
SP - 81
EP - 94
JO - Structural Safety
JF - Structural Safety
ER -