“…The authors extend these results to optimal repair and retrofit of existing structures in Streicher et al (2008), and present a renewal model for cost-benefit optimization including three different maintenance strategies (Rackwitz and Joanni, 2009).…”
Section: Risk Optimization Literature Reviewmentioning
Several methods have been proposed in the literature to solve reliability-based optimization problems, where failure probabilities are design constraints. However, few methods address the problem of life-cycle cost or risk optimization, where failure probabilities are part of the objective function. Moreover, few papers in the literature address time-variant reliability problems in lifecycle cost or risk optimization formulations; in particular, because most often computationally expensive Monte Carlo simulation is required. This paper proposes a numerical framework for solving general risk optimization problems involving time-variant reliability analysis. To alleviate the computational burden of Monte Carlo simulation, two adaptive coupled surrogate models are used: the first one to approximate the objective function, and the second one to approximate the quasi-static limit state function. An iterative procedure is implemented for choosing additional support points to increase the accuracy of the surrogate models. Three application problems are used to illustrate the proposed approach. Two examples involve random load and random resistance degradation processes. The third problem is related to load-path dependent failures. This subject had not yet been addressed in the context of risk-based optimization. It is shown herein that accurate solutions are obtained, with extremely limited numbers of objective function and limit state functions calls.
“…The authors extend these results to optimal repair and retrofit of existing structures in Streicher et al (2008), and present a renewal model for cost-benefit optimization including three different maintenance strategies (Rackwitz and Joanni, 2009).…”
Section: Risk Optimization Literature Reviewmentioning
Several methods have been proposed in the literature to solve reliability-based optimization problems, where failure probabilities are design constraints. However, few methods address the problem of life-cycle cost or risk optimization, where failure probabilities are part of the objective function. Moreover, few papers in the literature address time-variant reliability problems in lifecycle cost or risk optimization formulations; in particular, because most often computationally expensive Monte Carlo simulation is required. This paper proposes a numerical framework for solving general risk optimization problems involving time-variant reliability analysis. To alleviate the computational burden of Monte Carlo simulation, two adaptive coupled surrogate models are used: the first one to approximate the objective function, and the second one to approximate the quasi-static limit state function. An iterative procedure is implemented for choosing additional support points to increase the accuracy of the surrogate models. Three application problems are used to illustrate the proposed approach. Two examples involve random load and random resistance degradation processes. The third problem is related to load-path dependent failures. This subject had not yet been addressed in the context of risk-based optimization. It is shown herein that accurate solutions are obtained, with extremely limited numbers of objective function and limit state functions calls.
“…The risk optimization formulation addresses the safety-economy tradeoff in structural design [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. The optimal reliabilities 𝛽 * are a sub-product of the analysis.…”
Section: Risk Optimizationmentioning
confidence: 99%
“…Risk optimization [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]74] increases the scope of RBDO by including the expected consequences of failure. Each failure event described in Figure 4 has different consequences.…”
“…Such an effort was made in the case of the development and application of the so-called Life-Quality Index (e.g. [26][27][28][29]). The latter is able to provide a rational basis to account for the cost of saving lives [26], but, as shown by Goda and Hong [30], has certain limitations, since it does not control the optimal seismic design in some cases.…”
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