Optimization of beams for lateral buckling
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.
Collections
Related items
Showing items related by title, author, creator and subject.
-
Design optimization of blade stiffened laminated composite plates for maximum buckling load
Achenbach, Mark R. (Monterey, California: Naval Postgraduate School, 1990-12);The buckling load of a blade stiffened laminated composite plate having midplane symmetry is maximized for a given total weight. The thickness of the layers and the width and height of the stiffener are taken as the design ... -
Shape optimization of trusses subject to strength, displacement, and frequency constraints.
Felix, Jorge E. (1981);Three-dimensional trusses are designed for minimum weight, subject to constraints on: member stresses, Euler buckling, joint displacements and system natural frequencies. Multiple static load conditions are considered. The ... -
A computer study of the buckling of an imperfect cylindrical shell
Dantone, Joseph John (Monterey, California ; Naval Postgraduate School, 1971-09);An existing computer program for the geometrically nonlinear analysis of arbitrarily loaded shells of revolution was modified to incorporate initial geometric imperfections into the buckling solution of an axially loaded ...