Dynamic Bending of Elastic Columns

by Herbert R. Bailey,

Serial Information: Journal of the Structural Division, 1963, Vol. 89, Issue 4, Pg. 95-114

Document Type: Journal Paper


The problem of dynamic bending of an elastic pin-ended column is studied using the large deflection theory and including axial inertia terms. Equations are derived for the motion of a column that is initially slightly curved, with one end displaced axially toward the other end at a constant speed. Numerical solutions of these equations are obtained by solving corresponding difference equations on a digital computer. These solutions are compared with previous (small deflection theory) solutions of N. J. Hoff and E. Sevin. A novel feature of the results is that in some cases the lateral deflection curves are bimodal.

Subject Headings: Displacement (mechanics) | Bending (structural) | Elastic analysis | Columns | Curvature | Inertia | Equations of motion | Numerical methods

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