Abstract

A methodology for the reconstruction of dynamic loads from vibration response data is developed which employs a well-correlated finite element model to permit load identification at locations where no response measurements are available; this is extended from a force reconstruction approach based upon modal filtering. Force reconstruction is approached from a modal perspective, where modal responses are estimated from physical response data, followed by independent reconstruction of modal forces for each modal oscillator. Modal force estimates are analyzed in aggregate via singular value decomposition to permit identification of input locations which are compatible with the estimated modal force patterns. Modal forces are then returned to the physical domain via transformation by modal matrices. Experimental validation is performed with a free-free beam subject to multiple impact.

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