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Measurement of Shaft Orbits with Photographic Images and Sub-Sampling Technique

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Abstract

Vibration measurement in rotating machines is an important procedure in the identification of malfunctions and in the prevention of failure. In this case, due to difficulties in mounting sensors on rotating parts, non-contacting measurement methods are usually employed (interferometry, vibrometry, proximity sensing, photogrammetry). This work focuses on the development of a low cost image acquisition system capable of measuring the dynamic behavior of a rotor shaft (lateral vibration) using photographic images (full field measurement). The proposed method is based on sub-sampling techniques (reconstruction of the vibration signal by measuring long acquisition periods), and it is suitable for structures or machines whose vibrating frequencies are known (e.g. rotating machines). After image acquisition, the vibration at specific points of interest in the shaft is obtained by adopting a suitable image processing technique. Experimental tests are performed in a rotating system with flexible shaft, driven by an electric motor controlled by a frequency inverter in the frequency range of 300 rpm (5 Hz) to 990 rpm (16.5 Hz). Shaft vibration measurements are compared to measurements obtained with proximity sensors, and good agreement is observed even for small vibration amplitudes (130 μm).

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References

  • Rastogi PK (2001) Digital speckle pattern interferometry and related techniques. John Wiley & Sons, Lakewood

    Google Scholar 

  • López CP, Santoyo FM, Vera RR, Funes-Gallanzi M (2002) Separation of vibration fringe data from rotating object fringes using pulsed ESPI. Opt Laser Eng 38 (3–4):145–152

    Article  Google Scholar 

  • Ellingsrud S, Løkberg OJ (1993) Full field amplitude and phase measurement of loudspeakers by using TV-holography and digital image processing. J Sound Vib 168 (2):193–208

    Article  Google Scholar 

  • Olaszek P (1999) Investigation of the dynamic characteristics of bridge structures using a computer vision method. Measurement 25 (3):227–236

    Article  Google Scholar 

  • Ryall TG, Fraser CS (2002) Determination of structural modes of vibration using digital photogrammetry. J Aircr 39 (1):114–119

    Article  Google Scholar 

  • Yoshida J, Abe M, Kumano S, Fujino Y (2003) Construction of a measurement system for the dynamic behaviors of membrane by using image processing. In: Proceedings of the 1st International Conference on Textile Composites and Inflatable Structures, Barcelona, Spain

  • Chang C, Ji Y (2007) Flexible videogrammetric technique for three-dimensional structural vibration measurement. J Eng Mech 133 (6):656–664

    Article  Google Scholar 

  • Jeon HS, Choi YC, Park JH, Park JW (2010) Multi-point measurement of structural vibration using pattern recognition from camera image. Nucl Eng Technol 42 (6):704–711

    Article  Google Scholar 

  • Ferrer B, Espinoza J, Perez J, Ivorra S, Mas D (2011) Optical scanning for structural vibration measurement. Res Nondestruct Eval 22 (2):61–75

    Article  Google Scholar 

  • Helfrick MN, Pingle P, Niezrecki C, Avitabile P (2009) Using full-field vibration measurement techniques for damage detection. In: Proceedings of the International Modal Analysis Conference XXVII, Orlando, USA

  • Wang WZ, Mothershead JE, Ihle A, Siebert T, Schubach HR (2011) Finite element model updating from full-field vibration measurement using digital image correlation. J Sound Vib 330 (8):1599–1620

    Article  Google Scholar 

  • Helfrick MN, Niezrecki C, Avitabile P, Schmidt T (2011) 3D digital image correlation methods for full-field vibration measurement. Mech Syst Signal Process 25 (3):917–927

    Article  Google Scholar 

  • LeBlanc B, Niezrecki C, Avitabile P, Chen J, Sherwood J, Hughes S (2011) Full-field inspection of a wind turbine blade using three-dimensional digital image correlation. In: Proceedings of SPIE Conference on Industrial and Commercial Applications of Smart Structures Technologies, San Diego, USA

  • Sicard J , Sirohi J (2013) Measurement of the deformation of an extremely flexible rotor blade using digital image correlation. Meas Sci Technol 24 (6):065203

    Article  Google Scholar 

  • Valtchanov B, Fischer V, Aubert A (2010) A coherent sampling based method for estimating the jitter used as entropy source for true random number generators. In: Proceedings of 8th International Conference on Sampling Theory and Applications, Marseille, France

  • Choi H, Gomes AV, Chatterjee A (2011) Signal acquisition of high-speed periodic signals using incoherent sub-sampling and back-end signal reconstruction algorithms. IEEE T VLSI Integr 19 (7):1125–1135

    Article  Google Scholar 

  • Rader CM (1977) Recovery of undersampled periodic waveforms. IEEE T Acoust Speech Signal Process 25 (3):243–249

    Google Scholar 

  • Hartley R, Zisserman A (2003) Multiple view geometry in computer vision. Cambridge University Press, Cambridge

    Google Scholar 

  • Zhang Z (2000) A flexible new technique for camera calibration. IEEE Trans Pattern Anal Mach Intell 22 (11):1330– 1334

    Article  Google Scholar 

  • Savas I (2005) Entwicklung eines systems zur visuellen positionsbestimmung von interaktionspartnern. Universität Bielefeld, Bielefeld

    Google Scholar 

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Endo, M.T., Montagnoli, A.N. & Nicoletti, R. Measurement of Shaft Orbits with Photographic Images and Sub-Sampling Technique. Exp Mech 55, 471–481 (2015). https://doi.org/10.1007/s11340-014-9951-6

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  • DOI: https://doi.org/10.1007/s11340-014-9951-6

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