APPLYING FUZZY MATHEMATICS TO EVALUATING THE MEMBERSHIP OF EXISTING REINFORCED CONCRETE BRIDGES IN TAIPEI

模糊數學評估既有鋼筋混凝土橋梁之隸屬度

梁明德(Ming-Te Liang) ； 吳家合(Jai-He Wu) ； 梁智信(Chih-Hsin Liang)

《Journal of Marine Science and Technology》 8卷1期 (2000/06) Pp. 16-29

https://doi.org/10.6119/JMST.200006_8(1).0003

摘要

本文主要目的是利用模糊數學的概念與思想建立既有鋼筋混凝土橋樑的損傷評定的方法，採用評估等級劃分法則區分評估之結果，並對橋樑結構的損傷狀態進行雙層次模糊綜合評判，再者，據此綜合評定結果對橋樑結構的損傷狀態做出了具體的劃分。根據評估結果，橋樑損傷的雙層次模糊綜合評判方法，對於橋樑之損傷評估有一定之效用，同時其也可做爲橋梁維修與補强對策之依據。根據評估之方法，我們對臺北市之現有之四座橋樑進行評估，評估的結果顯示：惠通橋之整體結構性能屬於第Ⅰ、Ⅱ、Ⅲ及Ⅳ級的隸屬度分別爲0.334、0.30、0.191及0.175；自强橋之整體結構性能屬於第Ⅰ、Ⅱ、Ⅲ及Ⅳ級的隸屬度分別爲0.41、0.337、0.168及0.085；愛國高架橋之整體結構性能屬於第Ⅰ、Ⅱ、Ⅲ及Ⅳ級的隸屬度分別爲0.363、0.326、0.193及0.118；舊環南高架橋之整體結構性能屬於第Ⅰ、Ⅱ、Ⅲ及Ⅳ級的隸屬度分別爲0.354、0.354、0.198及0.094。維修與補强的順序爲惠通橋、愛國高架橋、舊環南高架橋及自强橋，因此，顯然模糊數學具有評估既有鋼筋混凝土橋樑損傷狀態之優點。

並列摘要

In this study, the concept of fuzzy mathematics was applied to the damage evaluation of existing reinforced concrete(RC)bridges. The partition rule of evaluation grade was used to divide the evaluation results. The damage state of existing RC bridges was carried out using a double layer fuzzy synthesis evaluation. Moreover, based on the results of the synthesis evaluation, the damage state of existing RC bridges was thoroughly partitioned. According to the evaluation results, the double-layer synthesis evaluation of fuzzy for the damage of RC bridge is definitely useful. The evaluation results are also offered as the basis for strategy on the repair and reinforcement of existing RC bridges. In order to verify this proposed method, the Huey-tong bridge, Jzyh-chyang bridge, Ay-gwo west road viaduct, and the old Hwan-nan viaduct in Taipei were evaluated. The investigated results indicate that the structural properties of the Huey-tong bridge belong to GradeⅠ,Ⅱ,Ⅲ and Ⅳ which have the membership value of 0.334,0.300,0.191 and 0.175,respectively.The structural properties of the Jzyh-chyang bridge were attributed to GradeⅠ,Ⅱ,Ⅲand Ⅳ which have the membership value of 0.410,0.337,0.168 and0.085,respectively.The Ay-gwo west road viaduct was the properties of GradeⅠ,Ⅱ,Ⅲ and Ⅳ with 0.363,0.326,0.193 and 0.118,respectively.The old Hwan-nan viaduct was the properties of GradeⅠ,Ⅱ,Ⅲ and Ⅳ with 0.354,0.354,0.198 and 0.094,respectively.Theorder repair and reinforcement is the Huey-tong bridge, Ay-gwo west road viaduct, old Hwan-nan viaduct and Jzyh-chyang bridge. Therefore, the fuzzy mathematics appears the advantage for evaluation the damage state of existing RC bridge.

並列關鍵字

damage ； crack ； evaluation grade ； synthesis evaluation