Abstract
An experimental spatial power-flow (ESPF) method is presented. This method provides a spatially continuous model of the power-flow vector field derived from experimental measurements. The power-flow vector field clearly indicates locations of energy sources and sinks as well as paths of energy transmission. In the ESPF approach, a scanning laser Doppler vibrometer acquires spatially dense measurements of the vibrating test structure. These measurements are used in solving for a spatially continuous 3-dimensional complex-valued model of the steady-state dynamic response. From this experimentally derived dynamics model, a spatial representation of the power flow is computed.
Highlights
Analytical and experimental methods that seek to develop a spatial map of the power or energy flow in vibrating structures are generally referred to as power-flow methods
It was shown and discussed that even though a spatial representation of the power flow can be obtained from an analytical solution, the underlying assumptions on the material properties and the boundary conditions required to obtain a solution can significantly corrupt the results
ESPF method presented in this research is a novel approach because a spatially continuous representation of the power flow that experimentally measures the boundary conditions is provided
Summary
Analytical and experimental methods that seek to develop a spatial map of the power or energy flow in vibrating structures are generally referred to as power-flow methods. Many analytical power-flow solutions have been developed that provide a spatial representation of the dynamic response (Hambrie, 1990a; Bouthier and Bernhard, 1992) In these analytical models many underlying assumptions on the material properties, boundary conditions, and external loadings must be made to obtain results. Several experimental techniques that involve the use of accelerometers and other structurally mounted measuring devices have been developed (Pavic, 1976; Palmer et aI., 1993) This type of experimental approach does not provide a spatial representation of the system dynamics and often neglects the near-field effects encountered at the boundaries and the locations of the external forces. The power flow is computed by taking the dot product of the generalized forces and velocities This powerflow technique is a novel approach in that it provides a spatially continuous representation of the power flow in the structure that is based on actual measurements of the system response. The importance of accurate estimates of the material properties and the boundary conditions is manifested in the results, and the ability to extract these values from experimental power flow is made evident
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