The Temporal Evolution of Buckling in a Dynamically Impacted Column

Abstract

The time-dependent progressive evolution of transverse displacements of an axially impacted, slender, geometrically imperfect, column is studied here. The analysis is concerned with evaluating the time-histoiy associated with the evolution of the buckling response as a function of the initial geometric imperfection amplitude. The exact solution of the axial stress wave propagation is employed to study the physics of the buckling response with the nonuniform axial strain distribution varying in time and space. The responses of axially impacted columns are examined in light of past experimental results and associated numerical solutions. Results in the present paper are limited to elastic column behavior.

Off-center impact of an elastic column by a rigid mass

“…Several investigators analyzed the impact of beams with initial geometric imperfection, see e.g., Hayashi and Sano (1972a, b), Ari-Gur, et al (1982), Ji and Waas (2013). The results of their analyses were dependent upon the amplitude of the initial imperfection.…”

Investigation on dynamic bifurcation buckling of a composite column impacted by a mass in hygrothermal environment

“…They discussed the influence of impact mass and velocity on the critical time to buckle and finally confirmed the research method's effectiveness by comparing it with the experiment. After that, Ji and Wass [19] extended the research to the dynamic buckling problem of slender columns with geometric defects and studied the evolution process of the transverse displacement of columns with time.…”