Accession Number : AD0486292

Title :   APPROXIMATE STRUCTURAL ANALYSIS TECHNIQUES EMPLOYING UNDETERMINED PARAMETERS.

Descriptive Note : Final rept. 30 Jun 65-17 Mar 66,

Corporate Author : FAIRCHILD HILLER CORP FARMINGDALE NY REPUBLIC AVIATION DIV

Personal Author(s) : Ojalvo, I. U. ; Russell, R. F.

Report Date : JUL 1966

Pagination or Media Count : 151

Abstract : A unified approach for the approximate solution of boundary value problems by undetermined parameters is presented. It is demonstrated how the general technique reduces to the well known method or Ritz, Galerkin, least-squares, collocations, Mikhlin, and point matching, as well as some new methods. Two examples from plate bending theory and one from steady-state heat conduction are treated numerically by various methods to demonstrate their application. Based on detailed results, comparisons are made among the methods as to accuracy, ease of application, and over-all applicability. Applications to digital computers are discussed. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, APPROXIMATION(MATHEMATICS)), NUMERICAL METHODS AND PROCEDURES, STRUCTURAL PROPERTIES, SHEETS, DEFORMATION, HEAT TRANSFER, THERMAL CONDUCTIVITY, EQUATIONS, COMPUTER PROGRAMMING, DIGITAL COMPUTERS, LEAST SQUARES METHOD, SIMULTANEOUS EQUATIONS, LINEAR SYSTEMS.

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE