Prediction of the vibration characteristics of a full-size structure from those of a scale model

The dynamic characteristics of a three-dimensional full-size crane structure are predicted for the system when it is subjected to multiple two-dimensional time-dependent moving loads using the relevant features of a scale model and the associated scaling laws. In order to establish the procedure the dynamic responses of a full-size uniform beam and its scale model, both elastically supported at each end and subjected to a moving force, are investigated. Both free and forced vibration characteristics are used to validate the scaling laws. From the premises established in this example certain derived scaling laws are then applied to the gantry crane problem.