Vibrational analysis of circular and elliptical plates carrying point and ring masses and with edges elastically restrained

✍ Scribed by A Achong

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 430 KB
• Volume: 183
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1995.0245

✦ Synopsis

An analysis is developed for the restrained vibration of circular and elliptical plates, mass-loaded at the center and along the periphery. The plates are restrained along the edges by rotational and translational springs. The optimized Rayleigh-Ritz technique is used to obtain an approximate solution. For the elliptical plate, elliptical iso-deflection contour lines are assumed and boundary conditions obtained via boundary integrals. A ''modified support'' technique is also found for the approximate determination of the fundamental frequencies of elliptical plates. Numerical examples are presented for various mass loading and support conditions, and for a range of aspect ratios. Where comparisons are possible, calculated results show good agreement with values obtained by other methods.