Flexural Vibration of Skew Plates Using Boundary Characteristic Orthogonal Polynomials in Two Variables

✍ Scribed by B. Singh; S. Chakraverty

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 598 KB
• Volume: 173
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1994.1224

✦ Synopsis

The first five frequencies have been determined for the transverse vibration of a rectangular or a skew plate under different boundary conditions by using boundary characteristic orthogonal polynomials in two variables. The given plate is first mapped into a square plate over which a set of orthonormal polynomials satisfying the essential boundary conditions is generated by using the Gram-Schmidt process. The Rayleigh-Ritz method is then used to determine the frequencies for all possible combination of the boundary conditions and with different skew angles. Comparison has been made with known results.