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標題: 光彈相位圖不連續點修正方法之研究
Improvement of photoelasticity phase map with physical inconsistency
作者: 呂元榮
Lu, Yuan-Jung
關鍵字: isochromatics wrapped phase map;等色線包裹相位圖;inconsistency;unwrapping;不連續點;相位展開
出版社: 機械工程學系所
引用: [1] Coker, E. G. and L. N. G. Filon, “A Treatise on Photoelasticity”, Cambridge University Press, New York, (1931). [2] Frocht, M. M., “Photoelasticity. Vol. 1”, John Wiley and Sons, New York, 1941; vol. 2, (1948). [3] Flanagan, J. H., “Photoelastic Photography”, Proc. ESA, vol. XV, no. 2, pp. 1-10, (1958). [4] Umezaki E., Tamaki T. and Takahashi S., “Automatic stress analysis of photoelastic experiment by use of image processing”, Exp. Tech., December pp. 22-27 (1989). [5] Yao, J. Y., “Extracting Isoclinics Using Image-processing Techniques”, Exp. Tech., Oct. pp. 10-11(1987). [6] Mawatari, A., Takashi M. and Toyoda Y., “Whole-Area Photoelastiv Analysis by Image Processing on the Principal Stress Direction and Saparation of Isochromatics from Isoclinics”, Trans. Of JSME, Ser. A, Vol. 55, NO. 514, pp. 1423-1428(1989). [7] Wang Z.F., Patterson E.A., “Towards Full Field Automated Photoelastic Analysis of Complex Components”, Strain, Vol. 27, May, pp. 49-53(1991). [8] Wang Z.F., Patterson E.A., “Use of phase-stepping with demodulation and fuzzy sets for birefringence measurement”, Opt Lasers Eng Vol. 22 pp. 91-104(1995). [9] Sai Prasad V., Madhu K.R. and Ramesh K., “Towards effective phase unwrapping in digital photoelasticity”, Opt Lasers Eng Vol. 42 pp. 421-436(2004). [10] James W. Dally and William F. Riley, “Experimental Stress Analysis”, McGraw-Hill International editions. pp. 425-439(1991) [11] Ramesh K. and Deshmukh S. S., “Three fringe photoelasticity: use of colour image processing hardware to automate ordering of isochromatics”, Strain, vol. 32 no. 3, pp. 79-86(1996). [12] Yao, J. Y., “Digital Image Processing and Isolinics”, Exp. Mech., vol. 30 no. 3, pp. 264-269 (1990). [13] Theocaris P. S. and Gdoutos E. E., “Matrix Theory of Photoelasticity”, Berlin and New York, Springer-Verlag (1979). [14] Brown. G. M. and Sullivan J. L., “The Computer-aided Holophotoelastic Method”, Exp. Mech., Vol 30, no.2 pp. 135-144(1990). [15] Hariharan P., Oreb B.F., and Eijux T., “Digital phase-shift interferome –try:a simple error-compensating phase calculation algorithm”, Appl. Opt. vol. 26 pp.2504(1987). [16] Ghiglia D. C., Mastin G. A. and Romero L. A., “Cellular-automata method for phase unwrapping”, J. Opt. Soc. Am. A, Vol. 4, pp.267- (1987). [17] Spik A. and Robinson D. W., “Investigation of the cellular automata method for phase unwrapping and its implementation on an array processor”, Optics and Lasers in Engineering, vol. 14, 25-37(1991). [18] Chang H. Y., Chen C. W., Lee C. K. and Hu C. P., “The tapestry cellular automata phase unwrapping algorithm for interferogram analysis”, Optics and Lasers in Engineering, vol. 30, no. 6, 487-502(1998). [19] Huang M. J. and Lai Cian-Jhih, “Phase unwrapping based on a parallel noise-immune algorithm”, Optics and Laser Technology, vol. 34, no.6, 457-464 (2002). [20] 陳森案,”相位重建之影像處理技術應用於光學量測之研究” ,中興大學機械工程學研究所碩士論文,中華民國九十一年七月。 [21] 周文彬, “平行性區域形相位展開技術應用於雷射光學量測之研究”,中興大學機械工程學研究所碩士論文,中華民國九十二年七月。 [22] 林智文, “調控型相位展開及顯微光學量測之研究”,中興大學機械工程學研究所碩士論文,中華民國九十三年七月。 [23] Goldstein R. M., Zebker H. A. and Werner C. L., “Satellite radar interferometry - Two-dimensional phase unwrapping”, Radio Science, vol. 23, no.4, pp. 713-720(1988).
本文的主要目的是修正光彈等色線包裹相位圖,使相位展開技術能順利完成,進而得到我們須要得知的物理量-相對延遲量(主應力差)。在光彈法圓偏光架設中,應用相移技術求解等色線包裹相位圖,過程中發現包裹相位圖干涉條紋有”錯位現象” 。此現象使等色線包裹相位圖產生不連續點,且不利於相位展開進行。傳統做法為切除部分相移圖後,僅能作部分相位還原。本文解釋了相位圖干涉條紋”錯位現象” 的發生原因,及提出等色線包裹相位圖不連續點修正方法。最後以電腦模擬圓盤試片受壓狀態下之光彈模型,使用修正後等色線包裹相位圖執行相位展開,並與有限元理論解做比較可證明這些方法的可行性與準確性。

The main purpose of this article is to improvement of isochromatics wrapped phase map can make the phase to unwrap successfully and get the physical quantity we want to know, relative retardation. Phase-shifting techniques in photoelasticity have a peculiar problem of isoclinic-isochromatic interaction, which lead to ambiguous zones in phase map. These ambiguous zones produced inconsistency. These inconsistencies formed by ambiguous zones cause phase unwrapping failure. A comprehensive discussion on the reason for the formation of ambiguous zones is presented in this paper. A new method is developed to remove this inconsistency in the phase map. Finally, the computer simulation results obtained for disk-in-compression tests presented here in comparison with theoretical solutions demonstrate that these methods are both simple to use and very accurate.
其他識別: U0005-1308200719461800
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