الفهرس 
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Abstract
A teahnique is developed to use the fpee pesponse to detePmine a mathematiaal,model of a struatupe. The theopy of the teahnique is based on a pefopmulation of the opdinaPY diffepential equations of motion of a multi-degpee of fpeedom system with visaous damping. The8e equations, in state vaPiable fopm, aompPi8e the mathematiaal model that is u8ed fop identifying a system’s vibpation paPametep8.
The teahnique is appliaable to both lumped and distPibuted paPametep 8ystems. The expePimental data pequiped fop thi8 teahnique aan be anyone of the fpee aaaelepation, veloaity, displaaement OP 8tpain pesponses at the stations of intepest. FuPthePmope, the amount of instPUmentation pequiped is minimized. Any struatupe, howevep aom¬plex, aan be identified in 8tages by u8ing two measuPing station8 at a time.
Simulated expePiments and two expePiments on peal struatupes aPe used to demonstpate the appliaability of the teahnique to identify aom¬plex struatupes. Even in the ppesenae of ovepdamping, high damping and alose natupal fpequenaies, exaellent pe8ult8 aPe obtained.