methodology for characterizing reticular structures using data from forced vibration measurement

Abstract

A mathematical model to identify the dynamic matrices of rigidity and flexibility of reticular structures starting from data of forced vibration measurement is presented. In the proposition it is considered that the behavior of the structural system is lineal, elastic and not buffered. The definition of the dynamic matrices of rigidity and flexibility is possible when identifying by means of vibration measurement: the modal matrix, the natural frequencies of vibration and the driving force frequency. It is necessary to propose the system’s masses matrix due to the fact that has not been possible to deduce it experimentally in this stage of the investigation. The application of the developed methodology to a simple structural model is shown and the obtained results are commented.