Title page for ETD etd-11092012-040324

Type of Document Master's Thesis
Author Herring, L. Carl
URN etd-11092012-040324
Title Improving an IBM type 650 digital computer operation by programming the inverse of a partitioned matrix as used in the analysis of rectangular rigid frames
Degree Master of Science
Department Applied Mechanics
Advisory Committee
Advisor Name Title
Pletta, Dan H. Committee Chair
Sword, J. H. Committee Member
  • IBM 650 (Computer)
Date of Defense 1959-10-15
Availability restricted

In order to solve a highly indeterminate rigid frame structure by the method of slope deflection a high order stiffness matrix needs to be inverted. Existing computer programs for the IBM Type 650 Computer are entirely too time consuming when the matrix coefficients and program instructions exceed the storage capacity of the computer drum. The method described in this paper involves the solution of the problem by the inversion of a partitioned matrix originally described by Duncan, Prazer, and Collar. Machine time was reduced by 91% using the new method. The program retains accuracy of six significant figures for a matrix normally twice as large as a machine can handle at one time, and four plus significant figures if the matrix is four times as large as the computer can handle in one storage operation. The method can be applied to digital computers of any size, thus increasing their apparent storage capacity or decreasing their operating time for a matrix inversion. The method is applicable to symmetrical as well as unsymmetrical matrices.

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