High frequency energy characterization of beam structures based only on driving point mobility or impedance

This article describes a characterization method to specifically determine the asymptotic behavior of kinetic and potential energies at higher frequencies with the driving point measures only. Longitudinal and flexural motions of semi-infinite and finite beam structures are considered when a harmonic force excitation is applied. Our method predicts spectral energies well at high frequencies unlike the existing methods that are limited to low frequencies and/or lightly damped case. The new method is insensitive to the driving point mobility or impedance formulations and yields consistent results.