Determination of the steady state response of a viscoelastically point-supported rectangular plate

✍ Scribed by G. Yamada; T. Irie; M. Takahashi

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 495 KB
• Volume: 102
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(85)80060-2

✦ Synopsis

The steady state response to a sinusoidally varying force is determined for a viscoelastically point-supported square or rectangular plate. For this purpose, the transverse deflection of the plate is written in a series of the product of the deflection functions of beams parallel to the edges, and the response equation is derived by the generalized Galerkin method. The natural boundary conditions of the plate which cannot be satisfied by the beam functions at the edges and the comers are appropriately compensated by suitable additions to the residual forces and moments. The method is applied to a square plate supported at four points symmetrically located at the comers or on the diagonals; the steady state response of the plate to a point force acting at the centre is calculated numerically, and the effects of the point supports on the vibration are studied.