Accession Number : AD0825668

Title :   DETERMINATION OF OPTIMAL COMPLIANCE AND STIFFNESS MATRICES FROM EXPERIMENTAL DATA.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Tapia, Cesar F. Villaran

Report Date : SEP 1967

Pagination or Media Count : 102

Abstract : A linear structure can be characterized by its compliance matrix C, which is 6x6 symmetrical and positive definite and which relates a force 6-vector F sub j to a displacement 6-vector D sub j by the relation CF sub j = D sub j. The inverse, S, of C, is called the stiffness matrix and satisfies SD sub j = F sub j. This thesis deals with the problem of finding optimal values of such matrices C and S from experimental determinations of a sufficient number of vector-pairs (F sub j, D sub j) which are presumed to contain random errors. J. E. Brock has introduced this problem area, suggested several different criteria of optimality, and solved some of the corresponding specific problems. This thesis completes the solution to a previously unsolved specific problem of this group and contributes computationally convenient new solutions to another. Moreover, a computer program, originally written for the CDC 1604 has been rewritten, in FORTRAN IV Language, as two programs for the IBM System 360 computer, and the capability has been significantly augmented. (Author)

Descriptors :   (*ELASTIC PROPERTIES, MATRICES(MATHEMATICS)), FORCE(MECHANICS), OPTIMIZATION, SUBROUTINES, COMPUTER PROGRAMS, PROGRAMMING LANGUAGES, LINEAR SYSTEMS, S MATRIX, ITERATIONS, VECTOR SPACES, THESES.

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE