A NEW METHOD FOR SOLVING TECHNICAL EIGENVALUE PROBLEMS,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1966
- Accession Number
- AD0643279
Entities
People
- R. Grammel