On the approximate determination of the fundamental frequency of vibration of rectangular, anisotropic plates carrying a concentrated mass

RICARDO O. GROSSI; LIZ G. NALLIM

JOURNAL OF SOUND AND VIBRATION

Elsevier

Lugar: Southampton, UK; Año: 1997 vol. 207 p. 276 - 279

0022-460X

The determination of natural frequencies in transverse vibration of isotropic rectangular plates is a problem that has been extensively studied by several researchers. Leissa’s works constitute excellent compilations of the pertinent literature. Also, the problem of vibration of rectangular plates with complicating effects, such as variable thickness, presence of concentrated masses, elastically restrained edges, etc. has received considerable treatment. There is comparatively limited amount of information on the vibration of anisotropic plates. The present paper deals with the application of the Rayleigh-Schmidt method for the determination of the fundamental frequency coefficient for rectangular anisotropic plates. The algorithm developed allows the inclusion of analysis of anisotropic, orthotropic and isotropic materials, presence of concentrated mass and elastically restrained edges. The values obtained are accurate from an engineering viewpoint and the entire algorithm can be implemented on a personal computer.