Dynamic Response of Elastic-viscous-Plastic Columns

by Cheng Y. Yang,
Robert J. Hansen,
Kenneth F. Reinschmidt,

Serial Information: Journal of the Engineering Mechanics Division, 1963, Vol. 89, Issue 3, Pg. 43-58

Document Type: Journal Paper


The dynamic response of a one-dimensional column is investigated theoretically. The column is loaded concentrically by a compressive or tensile pulse at one end and is fixed at the other. The material property of the column is represented by an idealized elastic-viscous-plastic law. For such a column, the partial differential equations governing one-dimensional motion are formulated. Since the idealized system of partial differential equations is linear and hyperbolic, it is readily transformed into a system of ordinary differential equations that are solved numerically by a digital computer for the appropriate boundary and initial conditions. The result of the response computation is presented graphically in a nondimensional form, as maximum and minimum strain in the column for load pulses of various durations. A comparison with the linear elastic solution is made. Finally, it is demonstrated that the obtained result may be used to design steel and reinforced concrete columns for dynamic loads.

Subject Headings: Columns | Elastic analysis | Dynamic response | Dynamic loads | Material properties | Differential equations | Linear functions | Computing in civil engineering | Equations of motion

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