Optimization of the Unloading Bridge Working Cycle

Abstract

This paper presents one of the possible ways of optimization of unloading bridge working cycle i.e. minimization of: energy consumption, material dissipation during the grab discharging, rope incline angle etc. Optimization procedure of the working cycle is divided into two phases, first optimization of the cargo and grab movement and second determination of the unloading bridge mechanisms movement upon obtained optimum path and parameters of cargo and grab movement. The developed mathematical model enables direct application of optimum control theory methods i.e. optimization of the cargo and grab movement is determined using Pontryagin's maximum principle. All relevant expressions are derived analytically. Repeatable and optimum unloading cycle is necessary for calculation of the real capacity of unloading device which is the base for calculation of energy consumption, exploitation cost, etc.