In this study we contrast two competing methodologies for the impact buckling of a column that is clamped at both ends. The initial imperfection is postulated to be co-configurational with the fundamental mode shape of the column without the axial loading. A solution is also furnished for the case when the initial imperfection is proportional to the Filonenko-Borodich “cosinusoidal polynomial”. Probabilistic and interval analyses are conducted for each case; these are contrasted on some representative numerical data.
Probabilistic and Interval Analyses Contrasted in Impact Buckling of a Clamped Column
Manuscript received November 28, 2011; final manuscript received June 29, 2012; accepted manuscript posted July 6, 2012; published online November 19, 2012. Assoc. Editor: Vikram Deshpande.
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Elishakoff, I., Verhaeghe, W., and Moens, D. (November 19, 2012). "Probabilistic and Interval Analyses Contrasted in Impact Buckling of a Clamped Column." ASME. J. Appl. Mech. January 2013; 80(1): 011022. https://doi.org/10.1115/1.4007084
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