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.
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
VL - 76
SP - 81
EP - 94
JO - Structural Safety
JF - Structural Safety
SN - 0167-4730
ER -