Accession Number : AD0622491

Title :   IMPROVEMENT OF BOUNDS TO EIGENVALUES OF OPERATORS OF THE FORM T*T,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Bazley,Norman W. ; Fox,David W.

Report Date : 26 FEB 1964

Pagination or Media Count : 27

Abstract : For the eigenvalue problems that arise in the theory of vibration of continuous elastic systems, e.g. threedimensional solids, shells, plates, rods, bars, etc., it is useful to have auxiliary methods capable of improving and refining the rigorous upper and lower bounds that can be found by the Rayleigh-Ritz and comparison operator procedures. A method is presented which should be quite useful in problems of this kind.

Descriptors :   (*OPERATORS(MATHEMATICS), BOUNDARY VALUE PROBLEMS), VIBRATION, ELASTIC SHELLS, RODS, ELASTIC PROPERTIES, MATRICES(MATHEMATICS), OPTIMIZATION

Distribution Statement : APPROVED FOR PUBLIC RELEASE