The Identification of the Elastic Support System of the Laboratory Truck Crane

In the paper the identification of the discrete-continuous model of the laboratory truck crane has been presented. In the theoretical model, the laboratory truck crane has been represented by three member type telescopic boom, hydraulic cylinder of crane radius change and the elastic support system. The free vibration problem of the analyzed system has been only considered in a rotary plane of the laboratory truck crane. For formulating and solving the free vibration problem of the analyzed system the Lagrange multiplier formalism has been employed. The identification of the discrete-continuous model has consisted in the determination of the spring constants substituting the elastic support system. Values of these spring constants have been determined on the basis of the solution of optimization problem and the experimental modal analysis. In optimization problem, the genetic algorithm has been used.