Accession Number : AD0779782

Title :   Vibrations of Thin Plates--A New Approach.

Descriptive Note : Scientific rept.,


Personal Author(s) : Tai,I. H. ; Nash,William A.

Report Date : DEC 1973

Pagination or Media Count : 158

Abstract : The investigation extends the method of Edge-Functions, previously employed only for elastostatic and electrostatic considerations, to the determination of natural frequencies and associated mode shapes of free vibration of thin elastic plates with a variety of boundary conditions. The Edge-Function technique essentially associates an independent coordinate system with every edge of the plate, and for every edge employs functions (satisfying the governing plate vibration equations) that rapidly decay with increasing distance from the plate boundary. Appropriate superposition of solutions stemming from all edges of the plate leads to an approximate representation of the time-dependent deflection surface. Results obtained by the elastodynamic Edge-Function investigation are shown to be in excellent agreement with existing results for natural frequencies and mode shapes of (a) rectangular plates subject to a wide variety of boundary conditions, including the case of a rectangular cantilever plate, and (b) parallelogram shaped plates with simply supported edges. (Modified author abstract)

Descriptors :   *Plates, *Vibration, *Elastic properties, Stresses, Partial differential equations, Equations of motion, Numerical integration, Computer programs, FORTRAN

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE