GOVERNING EQUATIONS OF MOTION OF WALKING BEHAVIOR OF UNANCHORED FLAT-BOTTOM CYLINDRICAL SHELL TANKS SUBJECTED TO HORIZONTAL SINUSOIDAL GROUND MOTION

摘要

The governing equations of motion of walking phenomena of unanchored flat-bottom cylindrical shell tanks subjected to horizontal sinusoidal ground motion are examined. The equations of motion are derived through variational approach. The physical quantities related to the walking phenomena are the mass of tank itself, tank content, the effective mass of liquid for bulging motion, that for rocking motion, that for rocking-bulging interaction motion, and friction force including self-weight reduction effects. The roles of each physical quantity during the walking motion are clearly identified. Comparison of the time history of experimental results and that of analytical ones corroborates accuracy of the proposed equations of motion.