A note on transverse vibrations of rectangular plates subject to in-plane normal and shear forces

✍ Scribed by L. Diez; C.E. Giánetti; P.A.A. Laura

• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 242 KB
• Volume: 59
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(78)80130-8

✦ Synopsis

To determine the fundamental frequency of transverse vibration of rectangular plates with edges elastically restrained against rotation and subjected to uniformly distributed in-plane normal and shear stresses, the plate displacement function is first expressed in terms of polynomial co-ordinate functions which identically satisfy the boundary conditions. A frequency equation is then generated by using a variational formulation. Numerical results for both the fundamental mode and the first fully antisymmetrical mode are given.