A Novel Finite-Element-Based Algorithm for Damage Detection in the Pressure Vessels Using the Wavelet Approach
محورهای موضوعی : Engineering
N Haghshenas
1
(School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran)
A.H Ghorbanpour Arani
2
(School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran)
A Javanbakht
3
(Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran)
M Karimi
4
(Engineering Faculty, Mechanical Engineering Department, Bu Ali Sina University, Hamedan, Iran)
کلید واژه: Pressure vessel, Crack Detection, Cylindrical vessel, Wavelet method, Daubechies wavelet,
چکیده مقاله :
In this investigation a suitable algorithm for the detection of cracks in the pressure vessels is presented. The equations of motion for the vessel are obtained and transferred into the wavelet space in a simplified form resulted from time and position approximations. The locations of cracks are randomly distributed in different regions of the structure to cover the whole geometry of the pressure vessel. Furthermore, the pressure vessel is installed vertically with a fixed end at the bottom of each of its four leg supports. Then, the results are transferred to the wavelet space using Daubechies wavelet families. From the comparison of the displacement results associated with the intact and damaged vessels, it can be clearly seen that the crack location can be accurately detected noting the alteration in the wavelet output diagrams .The results of the crack detection show that with the proper selection of the wavelet type, the wavelet based finite element method is a suitable and nondestructive method as well as a powerful numerical tool for the detection of cracks and other discontinuities in the pressure vessels. The results of this investigation can be used in the marine and aerospace industries as well as power stations.
[1] Gudmaunson P., 1982, Engine frequency changes of structures due to cracks, notches or other geometrical changes, Journal of Mechanics and Physics of Solids 30: 339-353.
[2] Banks H.T., Inman D.J., Leo D.J., Wang Y., 1996, An experimentally validated damage detection theory in smart structures, Journal of Sound and Vibration 191: 859-880.
[3] Ku C.J., Cermak J.E., Chou L.S., 2007, Random decrement based method for modal parameter identification of a dynamic system using acceleration responses, Journal of Wind Engineering and Industrial Aerodynamics 95: 389-410.
[4] Li B., Chen X.F., Ma J.X., He Z.J., 2004, Detection of crack location and size in structures using Wavelet finite element methods, Journal of Sound and Vibration 285: 767-782.
[5] Samii A., Lotfi V., 2007, Comparison of coupled and decoupled modal approaches seismic analysis of concretegravity damsin timedomain, Finite Elements in Analysis and Design 43: 1003-1012.
[6] Douka E., Loutridis S., Trochidis A., 2003, Crack identificationin beams using Wavelet analysis, International Journal of Solids and Structures 40: 3557-3569.
[7] Bagheri A., Ghodrati Amiri G., Khorasani M., 2010, Structural damage identification of plates based on modal data using 2d discrete Wavelet transform, Journal of Structural Engineering and Mechanics 40: 13-28.
[8] Bagheri A., Ghodrati Amiri G., Seyed Razzaghi S.A., 2009, Vibration-based damage identification of plate structures via curvelet transform, Journal of Sound and Vibration 327: 593-603.
[9] Rizos P.F., Aspragathos N., Dimaroginas A.D., 1990, Identification of crack location and magnitude in Cantilever beam from the vibration modes, Journal of Sound and Vibration 138: 381-388.
[10] Melhem H., Kim H., 2003, Damage detection in concrete by Fourier and Wavelet analyses, Journal of Engineering Mechanics 129: 571-577.
[11] Ovanesova A.V., Suarez L.E., 2004, Applications of Wavelet transforms to damage detection in frame structures, Journal of Engineering Structure 26: 39-49.
[12] Khatam H., Golafshani A.A., 2004, Damage detection in beam using Wavelet transform, M.Sc. Dissertation, Sharif University of Technology.
[13] Cawely p., Adams R.D., 1979, Defect location in structures by a vibration technique, American Society of Mechanical Engineering Technical Conference, Louis.
[14] Gokdag H., Kopmaz O., 2009, A new damage detection approach for beam-type structures based on the combination of continuous and discrete Wavelet transforms, Journal of Sound and Vibration 324: 1158-1180.
[15] Rucka M., 2011, Damage detection in beams using Wavelet transform on higher vibration modes, Journal of Theoretical and Applied Mechanics 49: 399-417.
[16] Tao C., Fu Y., Dai T., 2017, Dynamic analysis for cracked fiber-metal laminated beams carrying moving loads and its application for wavelet based crack detection, Composite Structures 1(159): 463-470.
[17] Mardasi A.G., Wu N., Wu C., 2018, Experimental study on the crack detection with optimized spatial wavelet analysis and windowing, Mechanical Systems and Signal Processing 1(104): 619-630.
[18] Williams J.R., Amaratunga K., 1997, A discrete wavelet transform without edge effects using wavelet extrapolation, Journal of Analysis Fourier and Applications 3(4): 435-449.
[19] Beylkin G., 1992, On the representation of operators in bases of compactly supported wavelets, SIAM Journal on Numerical Analysis 29(6): 1716-1740.
[20] Chakraborty A., Gopalakrishnan S., 2005, A spectrally formulated plate element for wave propagation analysis in anisotropic material, Computer Methods Applied Mechanics and Engineering 194: 42-44.
