Abstract
Buckling of axially loaded elastic-plastic beams is discussed. The load is applied instantaneously and remains unaltered during the motion. The effect of stress waves travelling along the beam is taken into account. It is assumed that the material has linear strain-hardening.
An additional rigid support is laid to the beam. The location of this support must be determined so that the beam slenderness is maximal at the buckling threshold. It follows from numerical examples that sudden constant loads of infinite duration reduce the critical beam slenderness, but have only a small effect on the optimal location of the support.
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Lepik, Ü. On optimal design of compressed beams with an additional lateral support. Structural Optimization 16, 275–279 (1998). https://doi.org/10.1007/BF01271434
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DOI: https://doi.org/10.1007/BF01271434