Vibration analysis and fatigue design of wire rope

In this present work, two problems are investigated: the transverse vibration of wire rope, and the fatigue design of wire rope.The transverse vibration of an originally straight and axially loaded wire rope is analyzed by modelling the wire rope as a beam with a wire-rope cross section. The equations of motion in the transverse directions are derived from free-body diagrams, while the boundary conditions are obtained from using Hamilton's principle. The equations of motion are solved by the method of separation of variables, and their solutions are applied to study the free and forced transverse vibrations. The stability of axially loaded wire rope is considered by allowing the axial torque to be increased while holding the axial tension fixed.A fatigue design method for the use of wire ropes is also proposed. The method is based on a stress analysis and the use of a modified Goodman diagram. The general idea of the current fatigue analysis is to locate the wire which is most severely stressed. By predicting the fatigue life of this single wire, one should be able to estimate the lower bound of the fatigue life of the rope. The stress analysis of the wires in a rope in this study is based on the theory established by Costello and his coworkers, which assumes that wires in the rope remain linearly elastic and there are no residual stresses before loading. For illustration purposes, the method is applied to a simple strand.U of I OnlyETDs are only available to UIUC Users without author permissio