Estimating the Vibrational Energy Characteristics of an Elastic Structure via the Input Impedance and Mobility

Improved Estimates for the Energy Characteristics of a Vibrating Elastic Structure via the Input Impedance and Mobility: Experimental Verification

“…In this section, the basic relations of the method are recapitulated*see also references [1,2]. Consider a "nite linear elastic system with continuous or lumped parameters and with any type of damping, performing harmonic vibrations under the action of an external force f exp( !i t) concentrated at a point x (other types of external loading are considered in reference [2]).…”

“…The parameters of the system as well as the system response at other points are supposed unavailable. According to the proposed method [1,2], one can, using the two available quantities, f and v, compute the exact values of the time-average vibration power dissipated in the system:…”

“…In the simplest case, when the structure is driven by a single external force, it is su$cient to measure only two quantities: the amplitude of the force and amplitude of the driving point velocity. It was shown in references [1,2] by computer simulation on simple structures (rod, plate) that the proposed method gave reliable estimates in the low and middle frequency range, but failed at certain natural frequencies of the structure. That was the main drawback of the method which excluded practical implementation.…”

“…A very e$cient method for estimating the energy characteristics of a linear elastic forced vibrating structure based on minimum measured data has been proposed in references [1,2]. To obtain the potential energy, kinetic energy, loss factor, and other energy characteristics, one does not need, in this method, to measure or compute the vibration response over the entire structure; neither does one need to possess a vibrational model of the structure.…”

“…This is done in the form of correction coe$cients for the estimates obtained in references [1,2]. One other purpose of the paper is to describe experimental implementation of the method.…”