本文裡提出一套利用檢測品質來為鋼橋構件選擇最佳的非破壞檢測方法和檢測計劃；各種非破壞性檢測方法對裂縫大小的測得機率函數，可被視為該檢測方法的檢測品質，藉由測得機率和檢測計劃所導出的機率計算，再配合蒙地卡羅法對鋼橋中斷裂關鍵構件所模擬的裂縫成長模式，吾人可以將選擇檢測方法和訂定後續檢測計劃的問題量化成為數學上的最佳化問題，並配合有關結構安全和檢測間隔的限制條件，而這個最佳化問題的解，將可為鋼橋檢測問題提供一組最經濟且符合結構安全的檢測方法和檢測計劃。

A method for selecting an optimal NDI (non-destructive inspection) technique and associate schedule for fracture-critical member inspections on a specific steel bridge is presented Information related to the probability of detection (POD) function of alternative NDI techniques is utilized as a measure of inspection quality. Calculations based on use of the POD function together with Monte Carlo simulations of crack propagation in the detail of interest are performed. A cost function is formulated that includes inspection costs as well as possible failure costs with each candidate NDI technique and alternative inspection schedule. The selection of an NDI technique together with an associated schedule for fracture-critical inspections is thus formulated as an optimization problem that can guarantee minimum total cost. An optimal inspection frequency is sough as part of the optimization which utilizes appropriate constraints on inspection intervals and a minimum acceptable (target) structural safety level. A case study involving a box girder bridge is presented to illustrate the proposed probabilistic method.

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