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考慮非平穩過程的劣化鋼筋混凝土梁橋時變可靠度分析

Time-dependent reliability analysis of deteriorating reinforced concrete bridges considering nonstationary processes

  • 摘要: 采用Gamma隨機過程描述車輛荷載頻率函數,提出了基于荷載頻率增大的鋼筋混凝土橋梁時變可靠度分析方法。考慮歷史荷載信息對橋梁時變抗力的驗證作用,改進了抗力變異系數為時間變量的橋梁時變可靠度計算公式。采用上述方法,對某裝配式預應力混凝土橋進行時變可靠度分析,結果表明,車輛荷載頻率增量關聯與否不影響結構時變可靠度的變化;結構在20至40 a的時變失效概率介于驗證荷載為31.6%至36.4%初始抗力的失效概率之間,證明改進的公式具有更高的精度。當荷載頻率λ小于10 a?1,考察范圍不超過35 a,若歷史荷載強度不高于初始抗力的29.1%,可以采用基于荷載頻率函數λ(t)的可靠度計算方法;若一年兩遇的車載強度超過結構初始抗力的36.4%,且年均增長率γ超過150%時,在海洋環境建造的鋼筋混凝土梁橋在20 a內的失效概率較高,需引起注意,在設計和施工時增強鋼筋的耐銹蝕性。

     

    Abstract: Traffic volume and vehicle loads are increasing with time during the bridge service life. Time-dependent reliability theory considers the time-varying effects of loads and resistance, which has been commonly adopted in recent engineering reliability research. The degradation of bridge resistance and increase of vehicle load and frequency varies with time, as described by a nonstationary stochastic model. The gamma stochastic process is adopted to describe the frequency function of vehicle load occurrence to promote the application of nonstationary processes in reliability studies, and time-dependent reliability analyzing approach is proposed for reinforced concrete bridges based on increasing load frequency. The time-dependent reliability equation is modified to account for the verifying effect of historical load information on time-varying resistance by including the coefficient of variation of bridge resistance as a time-associated variable. The above two methods are then used to perform a time-dependent reliability analysis on a prefabricated prestressed concrete bridge. The results show that the structural time-dependent reliability immunes the correlativity of frequency increment of vehicle loads; the time-dependent failure probabilities within 20 to 40 years range from those obtained by proof load tests with load intensities between 31.6% and 36.4% of the initial resistance, indicating higher precision of the modified equation. When the load frequency λ is less than ten times a year, the inspecting time interval is within 35 years, and the historical load intensity is less than 29.1% of the initial resistance, the approach based on load frequency function λ(t) is available. When the load frequency exceeds 36.4% of the bridge’s initial resistance, and the annual growth rate of frequency (γ) exceeds 150%. The RC bridge structure constructed in the marine environment has a higher failure probability within 20 years; thus, extra attention must be paid as corrosion resistance of reinforcements should be enhanced during its design and construction.

     

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