Optimization of beams for lateral buckling
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Authors
Burns, Robert Louis
Subjects
Advisors
Salinas, D.
Date of Issue
1971-12
Date
Publisher
Monterey, California ; Naval Postgraduate School
Language
en_US
Abstract
The treatise seeks to find the optimum shape of a thin
beam under the influence of lateral buckling. The specific
formulation is by means of the isoperimetric problem of the
calculus of variations. An energy method approach yields
the governing equations for the problem. An analytic
solution was not obtained due to the nonlinearity and
coupling conditions of the equations.
A variable height lateral buckling problem is formulated
as an alternate attempt to find the optimum design. Through
Bessel equation analysis numerous designs are obtained and
the resulting buckling loads are calculated. The largest
buckling load corresponds to a beam design which appears to
be very close to the optimum shape.
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.