IMPROVED ESTIMATES FOR THE ENERGY CHARACTERISTICS OF A VIBRATING ELASTIC STRUCTURE VIA THE INPUT IMPEDANCE AND MOBILITY: EXPERIMENTAL VERIFICATION

An efficient method for estimating the vibration energy characteristics (such as the potential energy, kinetic energy, loss factor, etc.) of a forced vibrating structure proposed earlier (Journal of Sound and Vibration 1998,217 , 351–386) [1] is improved and validated numerically and experimentally. The main problem of experimental implementation of the method—differentiation of the measured input impedance and mobility with noise present—is solved with the help of the Padé approximation by ratios of polynomials. The results of computer simulation and laboratory experiment conducted on a flexurally vibrating beam show that the improved method gives reliable estimates of the vibration energy characteristics at low and middle frequencies.