The governing equations of motion of the walking phenomena of the unanchored flat-bottom cylindrical shell tanks are examined. This paper considers that the walking phenomena is followed by the rocking motion of the tanks, since the rocking motion induces the reduction of self-weight and consequently reduces friction force between the tank and the foundation. 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, for rocking motion and for rocking-bulging interaction motion, and friction force including self-weight reduction effects. The roles of every physical quantity related to the walking motion are clearly identified. The time history of the walking motion of the model tank induced by the initial enforced uplift angle and then gently released is well computed by the proposed procedure.

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