Response of Beams to Shock Loading: Inelastic Range
Publication: Journal of Engineering Mechanics
Volume 133, Issue 3
Abstract
Four classical support conditions are investigated for beams with distributed loading, which has a temporal form of rectangular pulse. First, a simple calculation is presented, using algebraic equations of momentum and energy conservation to derive approximate deflection results. Then, exact relationships, derived from work by others and describing a total of five regimes of motion, are quoted and discussed. These relations were developed using a popular, rigid-plastic material model. On the other hand, there is an elastic–perfectly plastic material model, which represents a more realistic description of material properties. When solutions are obtained by means of a numerical simulation, employing the better material model, it is found that the simpler solutions developed here provide more accurate results of final deflections.
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References
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Copyright
© 2007 ASCE.
History
Received: Oct 25, 2005
Accepted: Aug 2, 2006
Published online: Mar 1, 2007
Published in print: Mar 2007
Notes
Note. Associate Editor: George Z. Voyiadjis
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