Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Dynamic buckling of a damped imperfect column on a nonlinear foundation

Author: Deborah F. Lockhart
Journal: Quart. Appl. Math. 36 (1978), 49-55
MSC: Primary 73.41
DOI: https://doi.org/10.1090/qam/478937
MathSciNet review: 478937
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Abstract: The dynamic buckling of a finite damped imperfect column which rests on a nonlinear foundation and which is subjected to axial step-loading is studied using a perturbation method. The imperfection is considered to be small. A simple asymptotic expression for the dynamic buckling load is obtained in terms of the Fourier component of the imperfection in the shape of the classical buckling mode. This leads to simple relations, independent of the imperfection, between the dynamic and static buckling loads for the damped and undamped column.

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DOI: https://doi.org/10.1090/qam/478937
Article copyright: © Copyright 1978 American Mathematical Society

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