Date of Award

Spring 1992

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Engineering Mechanics

Committee Director

Gene J.-W. Hou

Committee Member

Nahil Sobh

Committee Member

Chuh Mei

Call Number for Print

Special Collections; LD4331.E57B37

Abstract

Reanalysis is a numerical analysis technique that uses results from the total analysis of a design to compute the new response at a reduced computational cost. While there are many techniques available for reanalysis, the first order perturbation technique is investigated in this study. Because of its wide use in industry, NASTRAN finite element analysis software is used for total analysis, and as a basis for error. Since error seems rather unpredictable for this technique, it is sought, in this thesis, to find a reliable index for error so that a designer can know when the technique can be trusted.

The design model used is a cantilever plate with 100 quadrilateral elements. The reanalysis technique is used to predict the new eigenvalue of the plate when one element is removed. Error is analyzed by running reanalysis for several elements on a row of elements, and graphing error as a function of the distance from the fixed end of the plate.

It is concluded that strain energy, which is easily obtainable from the reanalysis code and from NASTRAN, is a good index for error for the plane stress case, and for the plate bending case. It is also observed that a color contour plot of strain energy, obtained from a postprocessor, could be useful for identifying areas of potentially high error.

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DOI

10.25777/yf2r-zg91

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