Mathematical model of dynamics change length of the crane arm system of a crane-manipulator

Autors
Loveykin, V. S., Romasevich Yu. O., Spodoba O. O.
Issue
Hoisting and transport equipment, 2019, №2(61)
Pages
83-92
DOI
10.15276/pidtt.2.61.2019.07
Abstract
In the performance of lifting and transport operations, cranes-manipulators with hydraulic drive on vehicles in building, agrarian, forestry and other industries are widely used. This is due to a number of their benefits, such as improving the working conditions of workers and increasing productivity in load-lifting and transport operations. The paper considers the method of constructing a mathematical model in the plane of change of departure of the jib system of a crane-manipulator with a hydraulic drive with the use of Lagrange equations of the second kind. In the process of constructing a mathematical model, an equation of motion of the jib system of a crane-manipulator in the process of flight change is obtained. The developed mathematical model allows theoretically determined the effect of the movement of the jib system on the fluctuations of the load and the effect of the fluctuations of the load on the dynamic loads that arise in the jib system and the elements of the drive of the manipulator.
Keywords
mathematical model, change length, crane-manipulator, Lagrange equation, dynamic loading, cargo fluctuations
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