本研究以數值模擬表面波譜法分析探討混凝土版在高溫損傷後，觀察應力波在火害面(正面)與非火害面(背面)之波傳行為，比較波傳訊號處理分析結果後，由混凝土非火害面(背面)檢測無損傷界面深度，間接推測正面損傷界面深度。
數值模擬以火害程度之溫度為200oC、400oC與600oC，分別造成4 cm、8 cm及10 cm損傷深度，分別於火害面(正面)與非火害面(背面)進行敲擊模擬，總共採用18組模型分析相互比較，探討以9組模型檢測非火害面(背面)無損傷界面深度，間接推估正面損傷界面深度之可行性。
根據數值模擬結果顯示，可在受火害損傷樓版之未損傷表面進行非破壞表面波譜法分析後，得到無損傷界面深度，進而間接推估受火害面之損傷深度。

This study uses the numerical simulation of spectral analysis of surface wave to investigate the propagation behaviors of stress wave at the fire-damaged surface and the reversed intact surface of concrete slab subjected to elevated temperature damage. By comparing the results from the digital signal processing of wave propagation, the undamaged depth from the intact surface can be determined, from which the damaged depth from the fire-damaged surface can be estimated indirectly.Numerical simulations were conducted at temperatures of 200oC、400oC and 600oC, resulting in 4 cm, 8 cm, and 10 cm damaged depths, respectively. Then, the simulations of impact force being applied on both the fire-damaged surface of concrete slab were conducted for 18 sets of numerical models, and the resulting signals of wave propagating were analyzed and mutually compared. Nine of 18 sets of modal analysis results were selected to study the feasibility of estimating the fire-damaged depth indirectly from calculated depth from the undamaged depth from the intact surface of fire-damaged slabs.
The results show that it is feasible to apply the non-destructive spectral analysis of surface wave technique on the intact surface of fire-damaged surface to determine its undamaged depth, from which its udamaged depth of fire-damaged slab can be indirectly estimated.

1.Thomson, W.T., " Transmission of Elastic Waves through a Stratified Solid Medium, " Journal of Applied Physics, Vol. 21, pp. 89-93 (1950).
2.Jones, R., " In-Situ Measure of the Dynamic Properties of Soil by Vibration Methods, " Geotechnique, London, Vol. 8, pp. 1-21 (1958).
3.林潔興，「表面波頻散曲線之基因演算法反算土層剪力波速」，碩士論文，台灣大學土木工程系，2000。
4.黃俊豪，「應用表面波譜法調查土層剪力波速之研究」，碩士論文，成功大學土木工程研究所，2003。
5.江福壽，「頻散曲線評估土層剪力波速剖面之初步研究」，碩士論文，成功大學土木工程系，2003。
6.林盈政，「表面波譜法應用於偵測地下管線技術之初步研究」，碩士論文，國立成功大學土木工程研究所，1996。
7.戴永政，「表面波震測於含改良柱體地層之改良成效評估」，碩士論文，國立交通大學土木工程系，2009。
8.陳彥亨，「高低頻法於表面波譜法之應用分析」，碩士論文，成功大學土木工程系，2005。
9.賴建琮，「應用表面波譜法調查地盤灌漿品質範圍及尺寸之研究」，碩士論文，朝陽科技大學營建工程系，2008。
10.李佳融，「以頻散曲線評估土壤灌漿之上覆土層材料性質與厚度之研究」，碩士論文，朝陽科技大學營建工程系，2009。
11.Cho, Y.S. and Lin, F.B., " Integrity analysis of single and multi-layer thin cement mortar slab structures using the spectral analysis of analysis of surface wave NDT method, " Construction and Building Materials, Vol. 14, No. 2, pp. 387-395 (2000).
12.Cho, Y.S., "NDT response of spectral analysis of surface wave method to multi-layer thin high-strength concrete structures, " Ultrasonics, Vol. 40, No.1-8, pp.227-230 (2002).
13.Cho, Y.S. and Lin, F.B., " Dispersive characteristic measurement of multi-layer cement mortar slabs using SASW method and neural network," Computer & Structures, Vol. 81, No. 26-27, pp.2491-2499 (2003).
14.陳柏存，「以表面波譜法與支持向量機評估高溫損傷混凝土之性質」，博士論文，國立臺灣科技大學營建工程系，2009。
15.賴鵬仁，「表面波頻散法應用於高溫作用混凝土結構之損害評估」，碩士論文，國立中興大學土木工程系，2013。
16.許慧如，「以表面R波頻散法檢測混凝土結構內部鋼筋周圍裂縫之可行性研究」，碩士論文，國立中興大學土木工程系，2015。
17.Choon B. Park, Richard D. Miller, Jianghai Xia, " Imaging dispersion curves of surface waves on multi-channel record, " Geophysics,VOL.64, NO.3, pp.691-700, 1998.
18.Choon B. Park, Richard D. Miller, Jianghai Xia, " Multichannel analysis of surface waves, " Geophysics, VOL.64, NO.3 pp. 800-808, (1999a).
19.Choon B. Park, Richard D. Miller, Jianghai Xia " Estimation of near-surface shear-wave velocity by inversion of Rayleigh wave, " Geophysics,VOL.64, NO.3, pp. 691-700, (1999b).
20.李瑞騰，「MASW結合非線性波形反算法同時反算地層剪力波速與壓力波速之研究」，碩士論文，國立聯合大學土木與防災工程學系，2010。
21.李宜珊，「以多頻道表面波譜法探測地下異質體之數值研究」，碩士論文，朝陽科技大學營建工程系，2011。
22.Sansalone, M. and Carino, N. J., "Impact-Echo：A Method for Flaw Detection in Concrete Using Transient Stress Waves, "NBSIR 86-3452, National Bureau of Standard, Gaithersburg, Maryland, September, pp.222 (1986).
23.Carino, N. J. and Sansalone, M., "Impact-Echo: A New Method for Inspecting Construction Materials, "Proceeding of Nondestructive Testing and Evaluation of Materials for Construction, University of lllions, August (1988).
24.Sansalone, M. and Carino, N. J., "Laboratory and Field Study of the Impact - Echo Method for Flaw Detecting in Concrete, "Special Publication of the American Concrete Institute, pp.1-20 (1988).
25.Carino, N. J. and Sansalone, M., "Detecting Voids in Metal Tendon Ducts Using the Impact - Echo Method," Materials Journal of the American Concrete Institude, Vol.89, No.3, May - June, pp.296-303 (1992).
26.ASTM C-1383, Standard Test Method for Measuring the P-wave Speed and the Thickness of Concrete Plates Using the Impact-Echo Method. American Society for Testing and Materials, (1999).
27.賴嘉陽，「探討受高溫作用混凝土之波速與強度關係」，碩士論文，國立中興大學土木工程系，2007。
28.張智傑，「以敲擊回音法檢測混凝土構件於火害後的劣化程度」，碩士論文，朝陽科技大學營建工程系，2007。
29.ERMA DWI CAHYANI，「數值模擬敲擊回音法分析層狀混凝土版之反應行為」，碩士論文，國立臺灣科技大學營建工程系，2011。
30.Bolt, B.A., Earthquakes：A Primer., Freeman, W.H. and Company, San Franciso, (1978).
31.M. Sansalone, and William B. Streett, " Impact-Echo Nondestructive Evaluation of Concrete and Masonry, " ITHACA, N. Y., Bullbrier Press. (1997)
32.Sansalone, M. and William, B. S., Impact-Echo: Nondestructive Evaluation of Concrete and Masonry, Bullbrier Press, New York, (1997).
33.Hunter, S. C., "Energy absorbed by elastic waves during impact,"Journal of the Mechanics and Physics of Solids, Vol.5, No.3 ,pp.162–171, (1957)
34.Reed, J., "Energy losses due to elastic wave propagation during an elastic impact," Journal of Physics D: Applied Physics, Vol.18, No.12, pp.2329–2337(1985)
35.McLaskey, G. C. and Glaser, S. D., "Hertzian impact: experimental study of the force pulse and resulting stress waves,", The Journal of the Acoustical Society of America, Vol.128, No.3, pp.1087-1096(2010)
36.楊君範，「混凝土結構敲擊反應波傳研究」，第十六頁，碩士論文，朝陽科技大學營建工程系，2003。
37.Pratt, D. and Sansalone, M., "The use of a neural network for automating impact-echo signal analysis," ACI Materials Journal, Vol.89, No.2, pp.178-187(1992)
38.王金圳，「以敲擊回音法檢測細長與標準圓柱及混凝土板之材料性質」，博士論文，國立臺灣科技大學營建工程系，2011。
39.Lin, Y. , Sansalone, M. and Carino, N. J., "Impact-echo response of concrete shaft," ASTM Geotechnical Testing Journal, Vol.14, No.2, pp.121-137(1991)
40.Hsiao, C., Cheng, C, C., Liouc, T. and Juang, Y., "Detecting flaws in concrete blocks using the impact-echo method," NDT & E International, Vol.41, No.2, pp.98-107(2008)
41.Abaqus Analysis User's Guide (6.14) "22.2.2.1Infinite elements" (2008).
42.李青隆，「以版狀試體脈衝激振法探討材料性質之研究」，碩士論文，國立臺灣科技大學營建工程系，2016。
43.Li, L. Y., and Purkiss, J. “Stress-strain constitutive equations of concrete material at elevated temperatures.” Fire Safety Journal, 40(7), 669-686.(2005)
44.沈伯豪，「水泥質基材與面材超音波反射行為之研究」，碩士論文，國立台灣科技大學營建工程系，2011。
45.陳彥成，「敲擊回音法探討空心圓柱試體之數值分析與實驗」，碩士論文，國立台灣科技大學營建工程系，2012。
46.趙胤甫，「以表面R波頻散法評估水泥砂漿凝結過程及強度發展初步研究」，碩士論文，國立中興大學土木工程系，2015。
47.高煌翔，「多頻道表面波量測系統之研發」，碩士論文，國立高雄應用科技大學土木工程與防災科技，2011。
48.蕭如芳，「以應力波探討混凝土表面影響及輕質混凝土工程性質」，碩士論文，國立臺灣科技大學營建工程系，2002。