
Accession Number : AD0823754
Title : NUMERICAL ANALYSIS OF EQUILIBRIUM AND EIGENVALUE PROBLEMS.
Descriptive Note : Final rept. Jul 66Sep 67,
Corporate Author : BATTELLE MEMORIAL INST COLUMBUS OH
Personal Author(s) : Hopper, A. T. ; Leissa, A. W. ; Hulbert, L. E. ; Clausen, W. E.
Report Date : NOV 1967
Pagination or Media Count : 213
Abstract : The objectives of this research study were the comparison and evaluation of different techniques that can be used to obtain the numerical solution of equilibrium and eigenvalue problems involving thin plates. The solution of equilibrium problems is discussed first. The various techniques are broken down into two main categories. The first category includes those techniques that require trial functions satisfying the differential equations. The second category includes those techniques requiring trial functions satisfying the boundary conditions. Finite difference, finite element, and integral equation approaches are not considered. Within each of the two categories, the methods are further classified as stationary functional methods or weighted residual methods. The similarities and differences are pointed out.
Descriptors : *NUMERICAL ANALYSIS), (*STRUCTURES, (*DYNAMICS, NUMERICAL ANALYSIS), BENDING, DEFORMATION, STRESSES, MOMENTS, APPROXIMATION(MATHEMATICS), SERIES(MATHEMATICS), LEAST SQUARES METHOD, DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS.
Subject Categories : Statistics and Probability
Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE