Abstract
An experimental spatial power flow method (ESPF) which computes the energy path spatially over the 1 surface of the structure is presented. The ESPF method is a novel approach based on a spatially dense representation of the system's dynamics obtained by solving for the 3-D complex-valued velocity field from experimental data acquired from a scanning laser Doppler vibrometer. Fifth order B-spline surfaces are used to represent the extracted velocity field. These B-spline surfaces allow the derivative components of the power flow equations to be computed spatially over the surface. The real and imaginary components of the power flow are kept separate throughout the solution. To validate the ESPF method, a prescribed velocity field was reconstructed using experimental spatial dynamics modeling (ESDM) and the power flow was computed. The power flow computed from the prescribed velocity field compared closely to the power flow computed from the ESDM reconstructed velocity field. The ESPF method was then applied to a simply supported thin steel plate. The results distinctly show the locations of the energy sources and sinks and identify the energy path.
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