Abstract:

Compared with single crane, cable parallel manipulators for dual automobile cranes (CPMDAC) can be treated as a dual automobile cranes system (DACS) that composed of two automobile cranes and payload, which can realize two-dimensional translations alongY, Z-axis and one-dimensional rotation aboutX-axis. The luffing angular response equation of the system is deduced based on inverse solution method, then the kinematic Jacobian matrix of the system is obtained. Based on the kinematic Jacobian matrix, the partial derivative speed matrices and acceleration matrices of hinged points, lifting arms and payload are derived. The dynamics model of the DACS is established on the basis of the principle of virtual work and kinematic relation matrices, the simulation of dynamics of the DACS with structure parameters is implemented by using Matlab software. A numerical example of the effect of structure parameters on system driving torque is given, which proves the presented method to be effective.

Key words: dual automobile cranes system, dynamic modeling, luffing angular response, principle of virtual work, cable parallel manipulator