Transverse vibrations of composite membranes of arbitrary boundary shape

✍ Scribed by P.A.A. Laura; L. Ercoli; R.O. Grossi; K. Nagaya; G. Sánchez Sarmiento

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 305 KB
• Volume: 101
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(85)80130-9

✦ Synopsis

This paper deals with an approximate method based on the technique of conformal mapping and a variational formulation which allows for a straightforward solution of the title problem for a certain type of composite membranes. Numerical results are presented for membranes of regular polygonal shape whose inner circular core possesses a density Pi while the remaining is characterized by 02 ~ The fundamental eigenvalues are also verified by the Fourier expansion-collocation method and by a finite element algorithm.