2nd Olympiad in Engineering Science (OES 2025)

Acoustic wave in a thin circular cylindrical shell

Not scheduled

20m

University of Stavanger

Oral presentation

Speaker

Mr Rahul Som (Research Scholar, Department of Mathematics, IIT Indore, India)

Description

This study investigates the propagation of an acoustic wave in a thin circular cylindrical shell, which is infinite in extent. The strain displacement relation of the structure is modelled through the Sanders-Koiter thin shell theory. A compressible fluid inside the shell is taken into account. An approximate form of the velocity potential of the fluid is extracted through the Helmholtz equation with an impenetrable boundary at the solid-fluid interface. The analytical dispersion of the model is analysed through the asymptotic technique, and the effect of the internal fluid on the dispersion is examined analytically and graphically. The examination of the analytical and asymptotic solutions depicts that the frequency of the wave decreases as the internal fluid density increases.

Keywords: Cylindrical shell, Fluid, Waves, Dispersion, Asymptotic technique

References

1. Goldenveizer A. (1961). Theory of thin shells. New York, NY: Pergamon Press.
2. Kaplunov, J., Manevitch, L. I., & Smirnov, V. V. (2016). Vibrations of an elastic cylindrical shell near the lowest cut-off frequency. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2189), 20150753.
3. Bochkarev, S. A., & Matveyenko, V. P. (2010). The dynamic behaviour of elastic coaxial cylindrical shells conveying fluid. Journal of applied mathematics and mechanics, 74(4), 467-474.