Analysis and Dynamic Testing of Structures Subjected to Vibration and Shock Using Scale Models

In this study, the similitude theory is revisited and employed to develop the necessary similarity conditions (scaling laws) for dynamic testing of scaled structures. Scaling laws provide relationship between a full-scale structure and its small-scale model, and can be used to predict the response of the prototype by conveniently performing dynamic testing on an inexpensive model. The difficulty of making completely similar small-scale models often leads to certain types of relaxations and distortions from exact duplication of the prototype (partial similarity). Both complete and partial similarities are discussed in this paper. These scaling laws are validated by carrying out the finite element analysis and experimental studies on simple structures. Finally, the methodology has been applied to the design validation of a real life complex shipboard monitor console. The console is required to isolate the monitor from the shock and vibration inputs and ensure its proper functioning. The shipboard console and its scale model are investigated for their dynamic response subjected to sinusoidal and shock loads and a good correlation has been found between the prototype and the model.