本研究針對斜面式滾動隔震支承位移反應與斜面角度進行探討，過去研究中皆著重於斜面式滾動隔震支承良好的控制加速度能力，但在實際設計與使用上，斜面式滾動隔震支承的最大位移考量確有其必要性，尤其是應用在不同重要性的設備上更是不可忽略。因此，從不同設計參數條件下，利用斜面式滾動隔震支承廣義運動方程式，試圖探討斜面角度與受擾動後最大位移之關係。斜面式滾動隔震支承通常應用於設備物隔震，而設備物通常會置於建築結構中，故本研究特別亦針對結構樓板加速度下，進行不同斜面角度之最大位移的分析，期望可以模擬實際應用情況，在受到樓板加速度的條件下，找出斜面式滾動隔震支承斜面角度的選擇方法。
在過往的研究中已提出三種斜面式滾動隔震支承設計：定斜面定阻尼、定斜面變阻尼以及多斜面變阻尼隔震支承，在本研究中將針對多斜面變阻尼滾動隔震支承提出第二種類型的設計，並藉由數值分析得到不同設計之滾動隔震支承的位移反應，以探討不同設計之優缺點。

Sloped rolling-type isolation devices are featured in transmitting a constant maximum acceleration to the protected object regardless of the excitation intensity. However, the displacement response of the isolation devices under earthquakes cannot be predicted by using the conventional equivalent linear analysis procedure, which may greatly impede their practical application. Based on the derived generalized equation of motion to represent the dynamic behavior of the isolation device, this research numerically discusses the effect of different sloping angles on the maximum displacement performance of the isolation device under different excitations including harmonic excitations, real earthquakes, artificial earthquakes and floor acceleration excitations. Observed from the numerical results, a preliminary suggestion for the design range of sloping angle is provided.
Moreover, an advanced performance-based design concept which involves a sloped rolling-type isolation device with multi-slope and stepwise-variable-damping mechanism is proposed and numerically studied in this research. Comparing with the conventional design method composed of the isolation devices with a single-slope and constant-damping mechanism, the proposed isolation device has the same acceleration performance but a better displacement control capability.

【1】 羅俊雄，“九二一集集大地震全面勘災精簡報告”，國家地震工程研究中心研究報告，NCREE-99-033，民國八十八年。
【2】 內政部營建署，“建築物耐震設計規範及解說”民國一百年七月。
【3】 Hwang JS, Huang YN, Hung YH, Huang JC. “Applicability of seismic protective systems to structures with vibration sensitive equipment,” Journal of Structural Engineering, ASCE, 130(11): 2004,pp. 1676-1684.
【4】 Nagarajaiah S, Xiaohong S. “Response of base-isolated USC hospital building in Northridge earthquake, ” Journal of Structural Engineering, ASCE, 126, 2000: pp. 1177-1186.
【5】 Myslimaj B, Gamble S, Chin-Quee D. “Davies A. Base isolation technologies for seismic protection of museum artifacts, ” The 2003 IAMFA Annual Conference, San Francisco, California, September 21-24, 2003.
【6】 黃昶閔，「醫院重要醫療空間內設備物耐震性能評估之研究」，碩士論文，國立成功大學建築研究所，民國九十八年六月。
【7】 Skinner RI, Robinson WH, McVerry GH. “An introduction to seismic isolation,” Chichester, England: John Wiley and Sons; 1993.
【8】 Naeim F, Kelly JM. “Design of seismic isolated structures: from theory to practice,” Wiley, New York, 1999.
【9】 Al-Hussaini TM, Zayas VA, Constantinou MC. “Seismic isolation of a multi-story frame structure using spherical sliding isolation systems,”Technical Report No. NCEER-94-0007, National Center of Earthquake Engineering Research, University at Buffalo, State University of New York, Buffalo, NY, 1994.
【10】 Hamidi M, ElNaggar MH, Vafai A, Ahmadi G. “Seismic isolation of buildings with sliding concave foundation (SCF) ,” Earthquake Engineering and Structural Dynamics, 32, 2003, pp. 15-29.
【11】 Lin TW, Hone CC. “Base isolation by free rolling rods under basement,” Earthquake Engineering and Structural Dynamics, 22, 1993, pp. 261-273.
【12】 Lin TW, Chern CC, Hone CC. “Experimental study of base isolation by free rolling rods,” Earthquake Engineering and Structural Dynamics, 24, 1995, pp.1645-1650.
【13】 Jangid RS, Londhe YB. “Effectiveness of elliptical rolling rods for base isolation,” Journal of Structural Engineering, ASCE, 1998, 124, pp. 469-472.
【14】 Kasalanati A, Reinhorn AM, Constantinou MC, Sanders D. “Experimental study of ball-in-cone isolation system,” Proceedings of the ASCE Structures Congress XV, Portland, Oregon, April 13-16, 1997,pp. 1191–1195.
【15】 Zhou Q, Lu X, Wang Q, Feng D, Yao Q. “Dynamic analysis on structures base-isolated by a ball system with restoring property,” Earthquake Engineering and Structural Dynamics, 27, 1998, pp. 773-791.
【16】 Tsai MH, Wu SY, Chang KC, Lee GC. “Shaking table tests of a scaled bridge model with rolling type seismic isolation bearings,” Engineering Structures, 29(9),2007, pp. 694-702.
【17】 Lee GC, Ou YC, Niu T, Song J, Liang Z. “Characterization of a roller seismic isolation bearing with supplemental energy dissipation for highway bridges,” Journal of Structural Engineering, ASCE, 2010, 136(5), pp. 502-510.
【18】 Ou YC, Song J, Lee GC. “A parametric study of seismic behavior of roller seismic isolation bearings for highway bridges,” Earthquake Engineering and Structural Dynamics, 39(5), 2010, pp. 541-559.
【19】 Mahmood H, Amirhossein S. “Using orthogonal pairs of rollers on concave beds (OPRCB) as a base isolation system - part I: analytical, experimental and numerical studies of OPRCB isolators,” The Structural Design of Tall and Special Buildings,20(8) , 2011, pp. 928-950.
【20】 洪家翔，「斜面式滾動隔震支承之分析模型建立與試驗」，碩士論文，台灣科技大學，台北，民國一百零二年十二月。
【21】 Wang S J, Hwang JS, Chang KC, Shiau CY, Lin WC, Tsai MS, Hong JX and Yang YH. “Sloped multi-roller isolation devices for seismic protection of equipment and facilities,” Earthquake Engineering and Structural Dynamics,2014, DOI: 10.1002/eqe.2404.
【22】 黃慶東，「近斷層地震地動特性與震譜特性之探討」，結構工程，第十五卷，第二期，第91~113頁，民國八十九年六月。
【23】 C.T. Huang and S.S. Chen, “ Near-field Characteristics and Engineering Implication of the 1999 Chichi Earthquake ”, ,Earthquake Engineering and Engineering Seimology,2000.
【24】 柴駿甫、鄧崇任、羅俊雄，「近斷層設計地震力與設計地表運動歷時」，國家地震工程研究中心(NCREE-00-033)，2000。
【25】 Housner, G.W., “Limit Design of Structures to Resist Earthquake,” Proceedings of the First World Conference on Earthquake Engineering, pp. 5-1 to 5-13, Berkeley, California. (1956)
【26】 Hori, N., Iwasaki, T., Inoue, N., “Damaging properties of ground motions and response behavior of structures based on momentary input energy response,” 12th World Conference on Earthquake Engineering, Paper No. 839, CD-ROM. (2000)
【27】 李明利，「近斷層地震地動特性與非彈性震譜特性之探討」，碩士論文，台灣科技大學，台北，民國八十九年六月
【28】 王鼎元，「能量法於結構耐震設計效益評估研究」，碩士論文，台灣科技大學，台北，民國一百年六月
【29】 王品皓，「能量法於地震破壞潛勢評估之應用」，碩士論文，台灣科技大學，台北，民國一百零二年一月