Using the Rayleigh–Ritz method, the natural frequencies of layered cylindrical shells with delaminations are derived. The results are compared with FE computations and with data available in the literature. It is demonstrated that the transverse shear effects can play a significant role in a correct and accurate evaluation of the natural frequencies of such shells. Numerical investigations into the problem of radial excitations of cylinders with delaminations have also been performed. From the results obtained, it follows that their optimal excitation frequency is related to the natural frequency of a local region containing the delamination.
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References
H. Lamb, “On the velocity of sound in a tube, as affected by the elasticity of the walls,” Manchester Literary and Philosophical Society-Memoirs and Proc., 42 (1898).
D. C. Worlton, “Experimental confirmation of Lamb waves at megacycle frequencies,” J. Appl. Physics, 32, 967-971 (1961).
W. M. Ewing, W. S. Jardetzky, and F. Press, Elastic Waves in Layered Media, McGraw W-Hill Book Company, 1957.
A. Viktorov, Rayleigh and Lamb Waves – Physical Theory and Applications, Plenum Press, N. Y., 1967.
J. D. Achenbach, Wave Propagation in Elastic Solids, North-Holland Publ. Co., N. Y., 1984.
A. H. Nayfeh, Wave Propagation in Layered Anisotropic Media with Applications to Composites, North-Holland, Elsevier Sci. B. V., 1995.
J. L. Rose, Ultrasonic Waves in Solid Media, Cambridge University Press, 1999.
J. L. Rose, “A baseline and vision of ultrasonic guided wave inspection potential,” J. Pressure Vessel Technol., 124, 273–282, (2002).
A. Ghoshal, S. Parthan, D. Hughes, and M. J. Schulz, “Free vibration characteristics of cylindrical shells using a wave propagation method,” Shock and Vibration, 8, 71-84 (2001).
A. Tafreshi, “Instability of delaminated composite cylindrical shells under combined axial compression and bending,” Composite Structures, 82, 422-433 (2008).
G. R. Liu and Z. C. Xi, Elastic Waves in Anisotropic Laminates, CRC Press, 2002.
A. Muc, “Interlaminar failure and buckling of doubly curved shells,” Mech. Compos. Mater., 31, 238-246 (1995).
J. Yang, and Y. Fu, “Analysis of dynamic stability for composite laminated cylindrical shells with delaminations,” Composite Structures, 78, 309-315 (2007).
S. Grondel, C. Paget, C. Delebarre, J. Assaad, and K. Levin, “Design of optimal configuration for generating A0 Lamb mode in a composite plate using piezoelectric transducers,” J. of the Acoustical Soc. of America, 112, 84-90 (2002).
Z. Su and L. Ye, “Selective generation of Lamb wave modes and their propagation characteristics in defective composite laminates,” J. Materials: Design and Applications, 218, 95-110 (2004).
K. Diamanti, C. Soutis, and J. M. Hodgkinson, “Lamb waves for the non-destructive inspection of monolithic and sandwich composite beams,” Compos. Pt-A, 36, 189-95 (2005).
N. Hu, T. Shimomukai, H. Fukunaga, and Z. Su, “Damage identification of metallic structures using A0 mode of Lamb waves,”:Int. J. Structural Health Monitoring, 7, 271-285 (2008).
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The Polish Research Foundation PB 1174/B/T02/2009/36 is gratefully acknowledged for the financial support.
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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 48, No. 1, pp. 145-152 , January-February, 2012.
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Muc, A., Stawiarski, A. Wave propagation in composite multilayered structures with delaminations. Mech Compos Mater 48, 101–106 (2012). https://doi.org/10.1007/s11029-012-9255-9
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DOI: https://doi.org/10.1007/s11029-012-9255-9