ABSTRACT
Rotating structures range from space stations, turbines, and tires to washing machine baskets. When utilizing Hamilton’s principle, the effect of rotation is introduced through the kinetic energy expressions. In the following, relatively simple cases are discussed first, working up to shells.
This case is illustrated in Fig. 1. The string is under constant tension T . The rotation is at a constant rotational speed . The string is parallel to the axis of rotation and a distance R removed from it. The radial vibration displacement is u3 and the vibration displacement tangential to the rotation is u1. Gravitational influences are neglected.
