Application of a series-type method to vibration of orthotropic rectangular plates with mixed boundary conditions

✍ Scribed by Y. Narita

• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 595 KB
• Volume: 77
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(81)80171-x

✦ Synopsis

The object of this paper is to show an application of a series-type method to the free vibration of an orthotropic rectangular plate with mixed boundary conditions. The rectangular plate considered is elastically constrained or clamped along a few parts of its edge and simply supported on the remainder. A frequency equation is derived to accommodate rectangular orthotropy of the plate by the extension of a previously developed method, and subsequent algebraic manipulation leads to the improved equation, yielding natural frequencies of the plate with very good accuracy. The method is demonstrated for numerical examples where one, two or three parts are constrained along the boundary of the square plate, and the effects of varying constraint and orthotropic parameters on the natural frequencies and mode shapes are studied.