New Approach to Buckling of Imperfection‐Sensitive Structures
Publication: Journal of Engineering Mechanics
Volume 119, Issue 4
Abstract
A new method is presented for the analysis of the buckling strength of imperfection‐sensitive structures. The method can take into account all possible sources of structural imperfections and all the significant imperfection components. It is based on a regular perturbation expansion of the prebuckling response of the structure around the prebuckling response of the corresponding perfect structure. The analysis results in the solution of a generalized eigenvalue problem in terms of a universal imperfection magnitude parameter. The method is illustrated with its application to the analysis of the buckling of a column on a linear elastic foundation. The variability of all the material and the geometric properties of the structure is considered. Numerical results are obtained that reveal certain inadequacies of Koiter's theory in practical applications and the necessity for the new method. They also demonstrate the significant effect of other imperfection sources, besides the shape imperfections, and the significant effect of a multitude of imperfection components, besides those having the shape of the active classical buckling mode.
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Copyright © 1993 American Society of Civil Engineers.
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Received: Mar 24, 1992
Published online: Apr 1, 1993
Published in print: Apr 1993
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