Publication:
Determination of optimal compliance and stiffness matrices from experimental data

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Authors
Villaran Tapia, Cesar F.
Subjects
Matrices
Compliance
Stiffness
Analysis of data
Experimental data
Data reduction
Linear systems
Least squares
Experiment
Optimal matrices
Matrix equations
Matrix square roots
Advisors
Brock, John E.
Date of Issue
1967-09
Date
September 1967
Publisher
Monterey, California. U.S. Naval Postgraduate School
Language
en_US
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 Fj. to a displacement 6-vector Dj. by the relation CFj = DJ. The inverse, S, of C, is called the stiffness matrix and satisfies SDj =Fj. 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 (Fj,Dj)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.
Type
Thesis
Description
Series/Report No
Department
Mechanical Engineering
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
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