ECONOMICALLY OPTIMUM STRUCTURAL DESIGN: METHODOLOGY AND CASE STUDY

M. Holicky, D. Diamantidis, M. Sýkora
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Abstract

Codes of practice aim to assure structures have acceptable risks to the public and the minimum total costs over the working life of a design. However, current codified criteria for structural design correspond to a broad range of reliability levels, specified for dissimilar reference periods even though their recalculation for different periods is uncertain due to unknown dependence of failure events in time. In this contribution, target reliability levels are specified on the basis of probabilistic risk optimization considering the objective function as a sum of various costs including effects of time to failure and discounting. A case study presents probabilistic optimization of the roof of a stadium for 4,000 spectators and illustrates the effect of the considered input parameters. Failure consequences and relative cost of safety measure are shown to be major factors affecting the optimum reliability level. Less important factors are the discount rate and working life. Large uncertainty in failure cost estimates seems to have only a marginal effect on derived optimum reliability levels.
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经济上最优的结构设计:方法和案例研究
实务守则旨在确保结构在设计的使用寿命内对公众具有可接受的风险和最低的总成本。然而,目前已编纂的结构设计准则对应于广泛的可靠性水平,为不同的参考时期指定,尽管由于失效事件在时间上的未知依赖性,它们在不同时期的重新计算是不确定的。在此贡献中,目标可靠性水平是在概率风险优化的基础上指定的,考虑目标函数是各种成本的总和,包括失效时间和贴现的影响。一个案例研究展示了一个可容纳4000名观众的体育场屋顶的概率优化,并说明了所考虑的输入参数的影响。失效后果和安全措施的相对成本是影响最优可靠性水平的主要因素。不太重要的因素是贴现率和工作寿命。故障成本估算中的巨大不确定性似乎对导出的最佳可靠性水平只有边际影响。
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