System-reliability-based design and topology optimization of structures under constraints on first-passage probability. (January 2019)

• Record Type: Journal Article
• Authors: Chun, Junho; Song, Junho; Paulino, Glaucio H.
• Is Part Of: Structural safety. Volume 76(2019)
• Page Start: 81
• Page End: 94
• Publication Date: 2019-01
• Subjects: Reliability-based design optimization -- Reliability-based topology optimization -- Stochastic excitation -- Sequential compounding method -- Parameter sensitivity -- System reliability -- First-passage probability; Structural stability -- Periodicals; Safety factor in engineering -- Periodicals; Reliability (Engineering) -- Periodicals; Constructions -- Stabilité -- Périodiques; Coefficient de sécurité en ingénierie -- Périodiques; Fiabilité -- Périodiques; 620.86
• DOI: 10.1016/j.strusafe.2018.06.006
• Languages: English
• ISSNs: 0167-4730

Abstract

Highlights: Structural optimization framework considering stochastic dynamic loading is proposed. The method is developed for both structural design and topology optimization. First-passage probability of engineering constraint is integrated into optimization. The analytical sensitivity is derived for the first-passage probability constraint. Numerical applications demonstrate the efficiency and effectiveness of the method. Abstract: 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.