1483. Longitudinal response of parallel hoisting system with time-varying rope length.

The longitudinal vibration model of parallel hoisting system with tension auto balance device (TABD) attached to the ends of all hoisting ropes is established, and the governing equations of the model are derived based on Hamilton's principle. Galerkin's effort is applied to discretize the infinite-dimensional partial differential equations into a set of finite-dimensional ordinary differential equations, so that the model can be solved with numerical solutions. Subsequently, an ADAMS simulation is carried out, and the simulation result has verified the validity of the numerical solution. Consequently, in order to investigate the longitudinal responses of the two hoisting ropes, the model is calculated numerically with different coefficients and excitations. The results of the numerical solution have shown that: For the parallel hoisting system with TABD attached to the ends of all hoisting ropes, the conveyance will be the main excitation that affects the longitudinal vibration of the ropes, and the system acceleration will also cause a relatively large longitudinal vibration in the ropes. [ABSTRACT FROM AUTHOR]