A Numerical Technique For Elastica Problems
- 1 October 1968
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of the Engineering Mechanics Division
- Vol. 94 (5) , 1159-1165
- https://doi.org/10.1061/jmcea3.0001028
Abstract
A numerical procedure is described for analyzing struts with large displacements by writing three simultaneous, first-order, nonlinear differential equations and using a shooting method to solve these equations. The algorithm developed can accommodate restraining springs on the strut, several imperfections occurring simultaneously, and variation in the cross section. Results obtained on a digital computer for selected combinations of effects and for the special case of a prismatic column are plotted.Keywords
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