Experimental wavelet analysis of flexural waves in beams
The wavelet transform (WT) is applied to the time-frequency analysis of flexural waves in beams. The WT with the Gabor wavelet decomposes a dispersive wave into each frequency component in the time domain, which enables one to determine the traveling time of a wave along the beam at each frequency. By utilizing this fact, a method is developed to identify the dispersion relation and impact site of beams.
KeywordsMechanical Engineer Travel Time Fluid Dynamics Dispersion Relation Frequency Component
Unable to display preview. Download preview PDF.
- 3.Hodges, C.H., Power, J. andWoodhouse, J., “The Use of the Sonogram in Structural Acoustics and an Application to the Vibrations of Cylindrical Shells,”J. Sound Vib.,101 (2),203–218 (1985).Google Scholar
- 6.Chui, C.K., An Introduction to Wavelets, Academic Press, San Diego (1992).Google Scholar
- 7.Daubechies, I., Ten Lectures on Wavelets, SIAM, Philadelphia (1992).Google Scholar
- 8.Sato, M., “Mathematical Foundation of Wavelets,”J. Acoust. Soc. Japan,47 (6),405–423 (1991) (in Japanese).Google Scholar
- 10.Mindlin, R.D. and Deresiewicz, H., “Timoshenko's Shear Coefficient for Flexural Vibrations of Beams,” Proc. Second U.S. Nat. Cong. of Appl. Mech. ASME, 175–178 (1954).Google Scholar
- 12.Johnson, K.L., Contact Mechanics, Cambridge University Press, Cambridge (1985).Google Scholar
- 13.Graff, K.F., Wave Motion in Elastic Solids, Reprint Ed., Dover Publications, New York (1991).Google Scholar
- 15.Zemanik, J. andRudnick, I., “Attenuation of Dispersion of Elastic Waves in a Cylindrical Bar,”J. Acoust. Soc. Am.,33 (10),1283–1288 (1961).Google Scholar
- 16.Kolsky, H., Stress Waves in Solids, Reprint Ed., Dover Publications, New York (1963).Google Scholar