臺灣博碩士論文加值系統

本研究擬探討自體調諧質量阻尼系統之耐震行為，同時降低自體調諧質量結構與主結構之受震反應。傳統調諧質量阻尼系統為一有效的振動能量吸收器，連接主要系統以降低其在諧和外力擾動下之振動反應，基本原理為將調諧質量阻尼系統的自然頻率調整到接近主要系統的基本振動頻率，進而產生兩者之反相位共振以消散外力擾動能量。過去已有許多研究提出不同之最佳化設計目標函數，並發展主動與半主動調諧質量阻尼系統以大幅提升控制效能，其在工程上之應用，由早期應用於降低高層建築物因風力擾動產生的振動，後來將其應用於土木結構之抗震設計。近年來亦有研究提出利用結構本身質量作為能量吸收器，即自體調諧質量阻尼系統，以克服傳統調諧質量阻尼系統因調諧質量過小而導致減震效益不彰之困擾，然而，其控制目標仍以降低主要結構系統的動力反應為主，對於自體調諧質量結構因反應過大而造成空間應用的浪費仍是一大問題。
因此，本研究將提出同時控制自體調諧質量結構與主要結構動力反應的最佳化設計方法，使兩結構系統可因互制作用而同時降低受震反應，以提高建築物之使用性。本研究內容將考慮合理的質量比與目標函數，利用簡化三自由度結構模型(自體調諧質量結構、自體調諧質量阻尼系統控制層與主要結構)推導最佳化設計方法，進行相關系統參數之敏感度分析，以數值分析與振動台試驗結果驗證自體調諧質量阻尼系統設計之可行性與最佳化設計方法之正確性，研究成果期能提出具體之被動自體調諧質量阻尼系統最佳化設計流程，以供實務工程應用。

This research project will study the seismic performance of building structures with passive building mass damper (BMD) system, and will address the optimum design methods for the BMD systems to reduce the dynamic responses of both the building mass absorber and the primary structure. Tuned mass damper (TMD) system has been recognized as an effective energy absorbing device to reduce the undesirable vibrations of the attached vibrating system (or primary system) subjected to harmonic excitations. Various objective functions for determining the optimum design parameters of a TMD system were discussed and developed based on the concept of generating a significant phase lag attributed to resonance between the primary structure and TMD system. In addition, active and semi-active control devices were proposed to be incorporated into the TMD system to enhance its control performance. For engineering applications, this technology was adopted to mitigate the wind-induced vibrations of high-rise buildings at the early stage, and to enhance the seismic capability of building structures subsequently. Recently, a new design concept, namely BMD system, attracted immense attention. The use of partial structural mass, instead of additional mass, to be an energy absorber can overcome the concern of limited response reduction due to insufficient tuned mass. However, the control target is still focused on the primary structure performance rather than on either the building mass absorber performance or both.
Therefore, in this research application, an optimum design method for the BMD system to effectively protect both the primary structure and the building mass absorber (may be a multi-story structure for occupancy) will be thoroughly investigated. In this research, considering appropriate mass ratios and objective functions (modal characteristics and dynamic responses), the influences of different system parameters of interest on the dynamic characteristics of a building with the BMD system will be discussed based on a simplified three-lumped-mass structural model in which three lumped masses are assigned to the building mass absorber, BMD control system and primary structure. Then, the optimum design parameters for a building with the BMD system will be proposed. A series of numerical analyses and shaking table tests will be performed to verify the feasibility of the BMD concept and the effectiveness of the optimum BMD design on seismic protection of buildings. Based on the research results, the appropriate design procedures for practical applications of passive BMD systems will be provided.

口試委員會審定書 I
誌謝 II
摘要 III
ABSTRACT IV
目錄 VI
表目錄 VIII
圖目錄 IX
第一章　緒論 1
1.1 研究背景與目的 1
1.1.1 中間樓層隔震 2
1.1.2 調諧質量阻尼系統 3
1.1.3 自體調諧質量阻尼器 4
1.2 研究內容與架構 5
第二章　文獻回顧 11
2.1 中間樓層隔震相關文獻 11
2.2 調諧質量阻尼器相關文獻 13
2.3 自體調諧質量阻尼系統相關文獻 15
2.4 調諧質量阻尼器最佳化參數理論 16
第三章　自體調諧質量阻尼系統最佳化參數與設計 29
3.1 調諧質量阻尼器與自體調諧質量阻尼器系統設計 29
3.2 最佳化參數推導 30
3.3 參數敏感度分析 34
3.4 系統設計流程 36
第四章　自體調諧質量阻尼系統縮尺振動台試驗 43
4.1 縮尺結構試體簡介 43
4.2 變異系統參數之試驗構架設計 44
4.3 結構控制元件 45
4.3.1 橡膠支承墊基本構造、設計與檢核 45
4.3.2 橡膠支承墊性能測試 48
4.3.3 液態黏性阻尼器基本構造與力學行為 49
4.3.4 液態黏性阻尼器性能測試 50
4.4 試驗細部規劃及感測計配置 51
4.4.1 結構控制元件及斜撐裝設 52
4.4.2 試驗感測計裝置佈設 52
4.5 輸入地震歷時 53
4.6 試驗結果探討與數值模擬 54
4.6.1 試驗構架與空構架受震反應比較 54
4.6.2 系統識別 55
4.6.3 變異各參數之構架受震反應比較 65
4.6.4 數值模擬結果 68
4.6.5 試驗參數誤差計算 68
4.7 小結 69
第五章　最佳化自體調諧質量阻尼系統設計與探討 179
5.1 最佳化系統構架設計 179
5.2 最佳化數值模型參數變異 179
5.3 振動台試驗結果 181
5.4 最佳化自體調諧質量阻尼系統設計與隔震設計比較 182
5.5 小結 182
第六章　結論與未來展望 225
6.1 結論 225
6.2 未來展望 226
參考文獻 228

1.Chang KC, Hwang JS, Chan TC, Tau CC and Wang SJ. Application, R&D and Design Rules for Seismic Isolation and Energy Dissipation Systems for Buildings and Bridges in Taiwan. Proceedings of the 10th World Conference on Seismic Isolation, Energy Dissipation and Active Vibrations Control of Structures, Istanbul, Turkey, 2007.
2.Chang KC, Hwang JS and Wang SJ. Applications of Seismic Isolation and Energy Dissipation Systems to Buildings in Taiwan. Proceedings of the JSSI 15th Anniversary International Symposium on Seismic Response Controlled Buildings for Sustainable Society, Tokyo, Japan, 2009.
3.蔡宜真，中間層隔震縮尺建築物振動台試驗研究，國立台灣大學土木工程學研究所碩士論文，張國鎮教授指導，民國九十六年一月。
4.江春琴，中間樓層隔震建築之耐震行為研究，國立台灣大學土木工程學研究所碩士論文，張國鎮教授指導，民國九十六年六月。
5.林孟慧，中間樓層隔震建築之模態耦合效應研究，國立台灣大學土木工程學研究所碩士論文，張國鎮教授指導，民國九十七年六月。
6.洪瑩真，中間樓層隔震建築物之試驗、設計與監測研究，國立台灣大學土木工程學研究所碩士論文，張國鎮教授指導，民國九十九年六月。
7.Chang KC, Hwang JS, Wang SJ, Lee BH, Lin MH and Chiang CC. Analytical and Experimental Studies on Seismic Behavior of Buildings with Mid-Story Isolation. Proceedings of the 10th International Conference on Structural Safety and Reliability (ICOSSAR2009), Osaka, Japan, 2009.
8.Wang SJ, Chang KC, Hwang JS and Lee BH. "Simplified Analysis of Mid-Story Seismically Isolated Buildings". Earthquake Engineering and Structural Dynamics, 2011; 40(2): 119-133.
9.Koh T and Kobayashi M. Analytical Study of Modal Coupling Effect on Mid-story Isolation System by Eigen Value Analysis and Random Vibration Analysis. Summaries of Technical Papers of Annual Meeting of the Architectural Institute of Japan (Hokkaido). 2004; 21167-21168.
10.Kelly JM. Base Isolation: Linear Theory and Design. Earthquake Spectra, 1990; 6(2): 223-244.
11.Kelly JM. Earthquake-Resistant Design with Rubber, 2nd ed., Springer Verlag, London, 1996.
12.Iwan WD and Gates NC. The Effective Period and Damping of A Class of Hysteretic Structures. Earthquake Engineering and Structural Dynamics, ASCE, 1979; 7: 199-221.
13.Chang KC, Hwang JS, Wang SJ, Lee BH, Hsiao JY and Hung YC. Shaking Table Tests of Scaled Buildings Isolated at Different Stories. Proceedings of the 11th World Conference on Seismic Isolation, Energy Dissipation and Active Vibration Control of Structures, Guangzhou, China, 2009.
14.Hartog Den J P. Mechanical Vibrations, 4th ed., McGraw-Hill, New York, 1956.
15.Warburton GB. Optimal Absorber Parameters for Various Combinations of Response and Excitation Parameters. Earthquake Engineering and Structural Dynamics, 1982; 10: 381-401.
16.Warburton GB and Ayorinde EO. Optimum Absorber Parameters for Simple Systems. Earthquake Engineering and Structural Dynamics, 1980; 8: 197-217.
17.Warburton GB, Optimum Absorber Parameters for minimizing vibration response, Earthquake Engineering and Structural Dynamics, 1981.
18.Tsai HC and Lin GC. Optimum Tuned-Mass Dampers for Minimizing Steady-State Response of Support-Excited and Damped Systems. Earthquake Engineering and Structural Dynamics, 1993; 23: 957-973.
19.Villaverde R. Reduction in Seismic Response with Heavily-Damped Vibration Absorbers. Earthquake Engineering and Structural Dynamics, 1985; 13: 33-42.
20.Villaverde R. Seismic Control of Structures with Damped Resonant Appendages. Proceedings of the 1st World Conference on Structural Control, Los Angeles, California, 1994.
21.Villaverde R and Koyama LA. Damped Resonant Appendages to Increase Inherent Damping in Buildings. Earthquake Engineering and Structural Dynamics, 1993; 22: 491-507.
22.Toshihiko ASAMI, Toshimi WAKASONO, Koichi KAMEOKA, Motoyoshi HASEGAWA and Hisayoshi SEKIGUCHI, Optimum Design of Dynamic Absorbers for a System Subjected to random Excitation, The Japan Society of Mechanical Engineers, 1991.
23.Emiliano Matta ,"Effectiveness of Tuned Mass Dampers against Ground Motion Pulses, American Society of Civil Engineers, 2013.
24.Satish Nagarajaiah and Nadathur Varadarajan , Short time Fourier transform algorithm for wind response control of buildings with variable stiffness TMD, Engineering Structures ,2005.
25.Chien-Liang Lee , Yung-Tsang Chen , Lap-Loi Chung , Yen-Po Wang , Optimal design theories and applications of tuned mass dampers, Engineering Structures ,2006.
26.Hadi, M.N.S , Arfiadi, Y. , Optimum design of absorber for MDOF structures, Journal of Structural Engineering, 1998.
27.Rahul Rana and T. T. Soong , Parametric study and simplified design of tuned mass dampers, Engineering Structures, 1997.
28.Jangid, R.S. ," Dynamic characteristics of structures with multiple tuned mass dampers", Structural Engineering and Mechanics, 1995.
29.S. V. Bakrez and R. S. Jangid ," Optimum parameters of tuned mass damper for damped main system", Structural control and health monitoring, 2006.
30.Lap-Loi Chung , Lai-Yun Wu , Chuang-Sheng Walter Yang , Kuan-Hua Lien, Mei-Chun Lin and Hsu-Hui Huang , Optimal design formulas for viscous tuned mass dampers in wind-excited structures, Structural control and health monitoring, 2011.
31.Chien-Liang Lee, Yung-Tsang Chen, Lap-Loi Chung, Yen-Po Wang, Optimal design theories and applications of tuned mass dampers, Engineering Structures, 2006
32.Narasimhana S, and Nagarajaiah S. A STFT semi-active controller for base isolated buildings with variable stiffness isolation systems, Engineering Structures, 2005; 27: 514–523.
33.Nagarajaiah S, Sonmez E. Structures with semi-active variable stiffness single/multiple tuned mass dampers, Journal of Structural Engineering (ASCE), 2007; 133(1): 67-77.
34.Chey MH, Chase JG, Mander JB., Carr, A.J., “Semi-active tuned mass damper building systems: Design”, Earthquake Engineering and Structural Dynamics, 2010; 39(2), p 119-139.
35.L. L. Chung, L. Y. Wu, K. H. Lien, H. H. Chen and H. H. Huang ," Optimal design of friction pendulum tuned mass damper with varying friction coefficient", Structural control and health monitoring, 2012.
36.Lin, P.Y., Chung, L.L., Loh, C.H, Semiactive control of building structures with semiactive tuned mass damper, Computer-Aided Civil and Infrastructure Engineering, 2005.
37.Chung, L.-L., Wu, L.-Y., Huang, H.-H., Chang, C.-H., Lien, K.-H, Optimal design theories of tuned mass dampers with nonlinear viscous damping, Earthquake Engineering and Engineering Vibration, 2010.
38.Chung, L.-L., Wu, L.-Y., Chen, H.-H., Huang, H.-H., Lien, K.-H., Optimal design of friction pendulum typed tuned mass damper, Journal of the Chinese Institute of Civil and Hydraulic Engineering, 2011.
39.Chi-Chang Lin, Chi-Lun Chen & Jer-Fu Wang," Vibration Control of Structures with Initially Accelerated Passive Tuned Mass Dampers under Near-Fault Earthquake Excitation", Computer-Aided Civil and Infrastructure Engineering, 2010.
40.Jer-Fu Wang, Chi-Chang Lin," Seismic performance of multiple tuned mass dampers for soil–irregular building interaction systems", International Journal of Solids and Structures, 2005.
41.Lin, Chi-Chang, Hu, Chih-Ming, Wang, Jer-Fu, Hu, Rong-Yu," Vibration control effectiveness of passive tuned mass dampers", Journal of the Chinese Institute of Engineers, 1994.
42.Min-Li Chang, Chi-Chang Lin, Jin-Min Ueng, Kai-Hsiang Hsieh and Jer-Fu Wang," Experimental study on adjustable tuned mass damper to reduce floor vibration due to machinery", Structural control and health monitoring, 2010.
43.Chi-Chang Lin, Lyan-Ywan Lu, Ging-Long Lin, Ting-Wei Yang," Vibration control of seismic structures using semi-active friction multiple tuned mass dampers", Engineering Structures, 2010.
44.Lin CC, Ueng JM and Huang TC. Seismic response reduction of irregular buildings using passive tuned mass dampers, Engineering Structures, 2000; 22(5): 513-524.
45.Lin CC, Wang JF and Ueng JM. Vibration control identification of seismically-excited MDOF structure-PTMD systems, Journal of Sound and Vibration, 2001: 240(1): 87-115.
46.Ueng JM, Lin CC and Wang JF. Practical design issues of tuned mass dampers for torsionally- coupled buildings under earthquake loadings, Structural Design of Tall and Special Buildings, 2008; 17(3): 133-165.
47.Lin CC, Lin GL, Wang JF. Protection of seismic structures using semi-active friction TMD, Earthquake Engineering and Structural Dynamics, 2010; 39(6): 635-659.
48.Lin CC, Chen CL and Wang JF. Vibration control of structures equipped with passive tuned mass dampers under near-fault earthquake excitation, Computer-Aided Civil and Infrastructure Engineering, 2010: 25(1): 69-75.
49.Lin CC, Lin, G. L., Wang, J. F. “Protection of seismic structures using semi-active friction TMD”, Earthquake Engineering and Structural Dynamics, 2010; 39(6): 635-659.
50.Sadek F, Mohraz B, Taylor AW and Chung RM. A Method of Estimating The Parameters of Tuned Mass Dampers for Seismic Applications. Earthquake Engineering and Structural Dynamics, 1997; 26: 617-635.
51.Rana R and Song TT. Parametric Study and Simplified Design of Tuned Mass Dampers. Journal of Engineering Structures, 1998; 20(3): 193-204.
52.Lukkunaprasit P and Wanitkorkul A (2001). Inelastic Building with Tuned Mass Dampers under Moderate Ground Motions from Distant Earthquakes. Earthquake Engineering and Structural Dynamics. 2001; 30: 537-551.
53.Pinkaew T, Lukkunaprasit P and Chatupote P. Seismic Effectiveness of Tuned Mass Dampers for Damage Reduction of Structures. Journal of Engineering Structures, 2003; 25: 39-46.
54.Masato’ A. Tuned Mass Dampers for Structures with Bilinear Hysteresis. Journal of Engineering Mechanics, 1996; 122(8): 797-800.
55.Miyama T. Seismic Responses of Multi-Storey Frames Equipped with Energy Absorbing Storey on Its Top. Proceedings of 10th World Conference on Earthquake Engineering, Madrid, 1992.
56.Villaverde R. Aseismic Roof Isolation System: Feasibility Study with 13-Story building. Journal of Structural Engineering, 2002; 128(2): 188-196.
57.Ziyaeifar M and NoguchitH. Partial Mass Isolation in Tall Buildings, Department of Architecture, Faculty of Engineering, Chiba University, 1-33 Yayoi-Cho, Inage-Ku, Chiba 263, Japan.
58.Villaverde R. Aseismic Roof Isolation System: Feasibility Study with 13-Story Building, Journal of Structural Engineering (ASCE),, 2002; 128(2), 188–196.
59.Chey MH, Chase JG, Mander JB, and Carr AJ. Semi-active tuned mass damper building systems: Application, Earthquake Engineering and Structural Dynamics, 2010; 39(2):69–89.
60.Ryota Kidokoro ,"Self-Mass Damper at Tokyo Swatch", Tenth anniversary special issue article originally published in April 2009.
61.Amir SJ Gilani, H. Kit Miyamoto, Stepehn Mahin, Robert Nighbor, "Seismic Retrofit of the LAX Theme Building with Mass Damper: Analysis and Experimentation". Proceedings of 15th World Conference on Earthquake Engineering, Lisboa, 2012.
62.陶其駿、厲娓娓，隔震建築應用與使用管理通俗化手冊之研擬，內政部建築研究所研究報告，2006。
63.張國鎮、黃震興、蘇晴茂、李森枏，結構消能減震控制及隔震設計，民國93年。
64.洪忠憙&小林正人，Vibratory Characteristics and Earthquake Response of Mid-Story Isolated Buildings，明治大學科學技術研究所紀要39（12）︰97-114，2000。
65.洪忠憙&小林正人，Analytical Study of Modal Coupling Effect on Mid-story Isolation System by Eigen Value Analysis and Random Vibration Analysis（固有値解析およびランダム応答解析による中間層免震構造のモード連成作用効果の分析），日本建築學會大會學術講演梗概集（北海道），pp. 21167-21168，2004。
66.汪向榮，中間樓層隔震建築之耐震行為分析與試驗研究，國立台灣大學土木工程學研究所博士論文，張國鎮教授指導，民國九十九年一月。
67.李柏翰，層間損壞指標可靠度分析及改善策略，國立中興大學土木工程學研究所碩士論文，林其璋教授指導，民國九十六年六月。
68.林孟慧，中間樓層隔震結構之模態耦合效應研究，國立台灣大學土木工程學研究所碩士論文，張國鎮教授指導，民國九十七年六月。
69.簡亭宜，結構自體調諧質量阻尼系統之耐震行為研究，國立台灣大學土木工程學研究所碩士論文，張國鎮教授指導，民國一百年六月。
70.陳玫君，中間層隔震與速度型阻尼器配合隔震建築物之地震靜動力分析，國立台灣大學土木工程學研究所碩士論文，蔡益超教授指導，民國九十三年六月。
71.蔡宜真，中間層隔震縮尺建築物振動台試驗研究，國立台灣大學土木工程學研究所碩士論文，張國鎮教授指導，民國九十六年一月。
72.江春琴，中間樓層隔震建築之耐震行為研究，國立台灣大學土木工程學研究所碩士論文，張國鎮教授指導，民國九十六年六月。
73.洪瑩真，中間樓層隔震建築物之試驗、設計與監測研究，國立台灣大學土木工程學研究所碩士論文，張國鎮教授指導，民國九十九年六月。
74.陳穎萱，結構自體調諧質量阻尼系統之振動台試驗研究，國立台灣大學土木工程學研究所碩士論文，張國鎮教授指導，民國101年六月。
75.建築物耐震規範及解說，內政部，2005年7月。