結構現有預力之反算分析

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姓名

顏子涵(TZU-HAN YEN) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

結構現有預力之反算分析
(Backward Analysis of the Existing Prestress of Structure)

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摘要(中)

本研究主要發展預力梁結構的反算方法，用鋼腱與混凝土梁之間的諧和變形來模擬預力梁撓動行為，並結合梁體的初始預力狀態反算預力。分析模型使用Euler-Bernoulli梁，研究將預力梁分成預力加載階段及外力加載階段，首先預力加載階段探討鋼鍵施拉對混凝土的預拱變形，外力加載階段探討鋼腱錨錠後，梁體受外力作用，透過混凝土梁變形影響鋼腱曲率，讓鋼腱預力狀態改變，間接使梁的受力狀態不同而影響變形。同時也探討外力加載階段的動態反應，將梁初始內力狀態放入頻率方程式，建立頻率與預力關係。若上述方法未考慮初始預力狀態，則要使用等效勁度法將梁體加勁，來達到預力反算的目的。

摘要(英)

This research develops the inverse calculation method of existing prestress in a PC beam. Simulate the prestressed beam vibration by compatibility of deformation between steel tendon and concrete beam. and the prestressed force is calculated by the initial prestressed state of the beam. The analysis model uses the Euler-Bernoulli beam to simulate the prestressed beam in-to the pre-loading phase and the external loading phase. Firstly, the pre-loading phase is used to investigate the camber deformation of the tendon by the steel in bonded, and the external loading stage is used to discuss the steel in camber. The external force applies on the beam, and the deformation of the concrete beam affects the curvature of the steel tendon, and the tendon state will be change, which indirectly causes the pre-stress state of the beam to be different and affects the deformation. At the same time, the dynamic response of the external loading stage is also discussed. The initial internal force state of the beam is placed into the frequency equation to establish the relationship between frequency and prestressed force. If the above method does not consider the camber state, the equivalent stiffness method is used to stiffen the beam to achieve the purpose of pre-force backward calculation.

關鍵字(中)

★ 預力混凝土梁
★ 反算
★ 現有預力

關鍵字(英)

★ Prestressed Concrete Beam
★ Backward Analysis
★ Existing Prestress

論文目次

摘要 I
ABSTRACT II
誌謝 III
目錄 IV
圖目錄 VI
表目錄 VIII
符號說明 IX
第一章緒論 1
1.1 研究動機與目的 1
1.2 研究方法與論文架構 2
第二章文獻回顧 3
2.1 靜態預力檢測方法 3
2.2 動態預力檢測方法 3
2.3 小結 6
第三章靜態預力梁識別理論 8
3.1 預力梁受力狀態及力學行為 8
3.1.1 預力加載階段 9
3.1.2 外力加載階段 10
3.2 預力梁靜態變形理論 11
3.2.1 鋼腱靜態變形 11
3.2.2 預力梁預拱變形 14
3.2.3 預力梁靜態加載變形 17
3.2.4 鋼腱等效勁度 20
3.3 靜態實驗數值分析 22
3.3.1 直線無偏心配置預力梁 22
3.3.2 直線偏心配置預力梁 26
3.4 小結 29
第四章動態預力梁識別理論 30
4.1 預力梁動態變形理論 30
4.1.1 混凝土梁微元素力平衡 30
4.1.2 混凝土梁能量法平衡 32
4.1.3 Galerkin方法解自然振動頻率 38
4.1.4 模態分析解自然振動頻率 42
4.1.5 等效勁度法 43
4.1.6 移動荷載之撓曲變形 44
4.2 動態實驗數值分析 46
4.2.1 直線無偏心配置預力梁 46
4.2.2 直線偏心配置預力梁 47
4.2.3 直線無偏心配置預力梁移動荷載模擬 51
4.3 小結 52
第五章結論與建議 53
5.1 研究結論 53
5.2 未來建議 54
參考文獻 55
附錄一 Macaulay方法計算變形曲線 57
附錄二載重與鋼腱拉力關係 60
附錄三 Mindlin-Goodman法處理非齊次邊界問題及強迫振動 64
9.1 齊次方程與非齊性邊界條件 66
9.2 非齊次方程與齊次邊界條件 69
9.2.1 自由振動 70
9.2.2 強迫振動 71

參考文獻

[1] 林樹柱, 預力混凝土設計及施工, 10 ed. 弘揚圖書有限公司, 2013.
[2] Saiidi, M., B. Douglas, and S. Feng, "Prestress Force Effect on Vibration Frequency of Concrete Bridges," Journal of Structural Engineering, vol. 120, no. 7, pp. 2233-2241, 1994.
[3] 劉齡嘉, "在役混凝土簡支梁有效預應力計算," 交通運輸工程學報, 2005.
[4] Shaker, F. J., "Effect of axial load on mode shapes and frequencies of beams," 1975.
[5] Kato, M. and S. Shimada, "Vibration of PC Bridge during Failure Process," Journal of Structural Engineering, vol. 112, no. 7, pp. 1692-1703, 1986.
[6] Dall′Asta, A. and L. Dezi, "Discussion of “Prestress Force Effect on Vibration Frequency of Concrete Bridges” by M. Saiidi, B. Douglas, and S. Feng," Journal of Structural Engineering, vol. 122, no. 4, pp. 458-458, 1996.
[7] Deak, G., "Discussion of “Prestress Force Effect on Vibration Frequency of Concrete Bridges” by M. Saiidi, B. Douglas, and S. Feng," Journal of Structural Engineering, vol. 122, no. 4, pp. 458-459, 1996.
[8] Jain, S. K. and S. C. Goel, "Discussion of “Prestress Force Effect on Vibration Frequency of Concrete Bridges” by M. Saiidi, B. Douglas, and S. Feng," Journal of Structural Engineering, vol. 122, no. 4, pp. 459-460, 1996.
[9] Abraham, M. A., S. Park, and N. Stubbs, "Loss of prestress prediction based on nondestructive damage location algorithms," in Smart Structures and Materials ′95, 1995, vol. 2446, p. 8: SPIE.
[10] 宋一凡, "預應力鋼梁橋的動力分析," 西安公路交通大學學報, vol. 20, no. 4, pp. 23-25, 2000.
[11] Kim, J.-T., Y.-S. Ryu, and C.-B. Yun, "Vibration-based method to detect prestress loss in beam-type bridges," in Smart Structures and Materials, 2003, vol. 5057, p. 10: SPIE.
[12] Kim, J.-T., C.-B. Yun, Y.-S. Ryu, and H.-M. Cho, "Identification of prestress-loss in PSC beams using modal information," Structural Engineering and Mechanics, vol. 17, no. 3-4, pp. 467-482, 2004.
[13] Hamed, E. and Y. Frostig, "Natural frequencies of bonded and unbonded prestressed beams–prestress force effects," Journal of sound and vibration, vol. 295, no. 1-2, pp. 28-39, 2006.
[14] 胡行飛, "體外預應力混凝土梁固有頻率研究," 內蒙古科技大學, 2012.
[15] Kocaturk, T. and M. ?im?ek, "Dynamic analysis of eccentrically prestressed viscoelastic Timoshenko beams under a moving harmonic load," Computers & structures, vol. 84, no. 31-32, pp. 2113-2127, 2006.
[16] ?im?ek, M. and T. Kocaturk, "Dynamic Analysis of Eccentrically Prestressed Damped Beam under Moving Harmonic Force Using Higher Order Shear Deformation Theory," Journal of Structural Engineering, vol. 133, no. 12, pp. 1733-1741, 2007.
[17] 魏星池, "預力混凝土梁預力之非破壞檢測技術試驗研究," 碩士, 土木工程學研究所, 國立臺灣大學, 台北市, 2017.
[18] 劉齡嘉, "預應力混凝土梁橋永存預應力預測方法研究," 長安大學, 2007.
[19] 張耀庭, 汪霞利, and 李瑞鴿, "全預應力梁振動頻率的理論分析與試驗研究," 工程力學, vol. 24, no. 8, pp. 116-120, 2007.
[20] Lee, S. Y., W. R. Wang, and T. Y.-F. Chen, "A General Approach on the Mechanical Analysis of Nonuniform Beams With Nonhomogeneous Elastic Boundary Conditions," Journal of Vibration and Acoustics, vol. 120, no. 1, pp. 164-169, 1998.

指導教授

王仲宇王仁佐(Chung Yue Wang Ren Zuo Wang)

審核日期

2018-7-30

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