FUNDAMENTAL FREQUENCY OF TRANSVERSE VIBRATION OF A CIRCULAR PLATE OF RECTANGULAR ORTHOTROPY WITH A SECANT SUPPORT

✍ Scribed by P.A.A. LAURA; R.H. GUTIERREZ; R. OSSI

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 167 KB
• Volume: 254
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2001.4076

✦ Synopsis

The present study deals with the solution of the title problem in the case of clamped and simply supported edges, see Figure 1. For the sake of generality it is assumed that the plate carries a centrally located concentrated mass. This note deals with an extension of the problem tackled in reference [1], where an isotropic plate was considered.

It may be of interest to recall that continuous, rectangular plates executing small amplitude, transverse vibrations have been treated in many excellent papers [2,3]. On the other hand very limited information is available in the open literature on vibrating continuous plates of other shapes, e.g., a circular plate with a secant support.

Two independent solutions are obtained using the optimized Rayleigh}Ritz method and the "nite element approach [4].

APPLICATION OF THE OPTIMIZED RAYLEIGH}RITZ METHOD