A Numerical Technique For Elastica Problems

by John V. Huddleston,

Serial Information: Journal of the Engineering Mechanics Division, 1968, Vol. 94, Issue 5, Pg. 1159-1166

Document Type: Journal Paper


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.

Subject Headings: Elastic analysis | Struts | Numerical analysis | Displacement (mechanics) | Writing skills | Nonlinear analysis | Differential equations | Numerical methods

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