Date of Award
Master of Science in Engineering
Mechanical and Aeronautical Engineering
Dr. Judah Ari-Gur
Dr. Dennis Vandenbrink
Dr. Jim Kamman
Masters Thesis-Open Access
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.
Kadandale, Murli, "Dynamic Pulse Buckling of Columns with Viscous Damping" (1995). Master's Theses. 4806.