Date of Award

12-1995

Degree Name

Master of Science in Engineering

Department

Mechanical and Aeronautical Engineering

First Advisor

Dr. Judah Ari-Gur

Second Advisor

Dr. Dennis Vandenbrink

Third Advisor

Dr. Jim Kamman

Access Setting

Masters Thesis-Open Access

Abstract

This is a study of dynamic pulse buckling of columns with viscous damping. The differential equations of motion were obtained using the Bemoulli-Navier hypothesis. The effects of axial and rotary inertia were included in the analysis. The Voigt-Kelvin model for a viscoelastic material is used. The Finite Difference Method was employed to solve the differential equations of motion. First columns without geometrical imperfections were studied, and a correlation between the damping modulus and the more familiar damping ratio was obtained. Then beams with initial geometrical imperfection were studied. A suitable dynamic buckling criterion was defined. It was observed that viscous damping plays a significant role in buckling analysis under extremely short pulses. Columns could withstand extremely high load intensities for impulsive loading. Buckling under impulsive loading was observed to be very sensitive to geometrical imperfection. Rotary inertia did not significantly effect the buckling results.

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