Accession Number : AD0643279

Title :   A NEW METHOD FOR SOLVING TECHNICAL EIGENVALUE PROBLEMS,

Corporate Author : DAVID TAYLOR MODEL BASIN WASHINGTON D C

Personal Author(s) : Grammel,R.

Report Date : OCT 1966

Pagination or Media Count : 24

Abstract : A new method is developed for obtaining improved (that is, lower) upper bounds to technical eigenvalue problems occurring in mathematical physics. The method is a sort of counterpart to the well-known mathematical techniques of Lord Rayleigh, Ritz, and Galerkin for getting approximate solutions to vibration frequencies and buckling loads. The underlying principle for this new method has come to be known as the Principle of Minimum Complementary Energy vis-a-vis the Principle of Minimum Potential Energy underlying the methods of Rayleigh and Ritz. A numerical example of practical interest is worked out to illustrate the improved results of the new method. (Author)

Descriptors :   (*INTEGRAL EQUATIONS, NUMERICAL METHODS AND PROCEDURES), BOUNDARY VALUE PROBLEMS, BEAMS(STRUCTURAL), VIBRATION, BUCKLING, OPERATORS(MATHEMATICS), NUMERICAL ANALYSIS, WEST GERMANY

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE