Random vibration of an elastically supported circular plate with an elastically restrained edge and an initial tension

✍ Scribed by S. Chonan

• Book ID: 104154037
• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 471 KB
• Volume: 58
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(78)80049-2

✦ Synopsis

This paper deals with the problem of the random vibration of an elastically supported circular plate with an elastically restrained edge and an initial radial tension. The random excitation is taken to be a distribution of spatially uncorrelated random forces. Analytical expressions for the mean square displacement and moment are derived by using the orthogonality property of the mode functions. Numerical results are then given for a range of parameters. The main result is that the mean square displacement of the plate, in general, takes on a maximum value at the center of the plate, while the mean square moment takes on a maximum value at the center of the plate or along the edge of the plate depending upon the relative values of the elastic edge constraint, the initial radial tension and the stiffness of the foundation.