Vibration of a Crane System Superimposed upon Its Nominal Motion

摘要

The equations of motion for a crane system with considering the elasticity of the hoisting cable are derived.Using such equations and the relationship between the actual motion and the nominal motion of the crane system,the equations of vibration of the crane system superimposed upon its nominal motion are established.The responses of the vibration can be determined by numerically integrating the equations using the fourth order Runge-Kutta method.Based on the analysis of responses of the vibration,some conclusions concerning the vibration are obtained.