Circumferential waves for a cylindrical shell supported by a continuum

✍ Scribed by H.I. Epstein

• Book ID: 104154053
• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 561 KB
• Volume: 58
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(78)80071-6

✦ Synopsis

Dispersion relations are determined for circumferential waves propagating in a layered, circular cylinder by using shell equations to approximate the behavior of the outer layer. The cylinder consists of an elastic core bonded to a hollow, circular cylinder of distinctly different elastic properties. The approximate dispersion curves for the lowest mode are compared with curves obtained by employing elasticity equations for the layer. The shell equations of motion simplify the calculations necessary to produce dispersion curves. These equations include the effects of transverse shear deformation and rotatory inertia. Good agreement between the two theories is obtained when the ratio of layer thickness to wavelength is small. For small curvature, agreement is better when the layer is relatively stiff compared to the core than when the layer is relatively soft. As the curvature increases, the agreement between the two theories becomes progressively poorer.