Modeling mechanical vibrations by the use of impedance measurements

Mechanical vibration models facilitate the calculation of complicated structures. Instead of the simple one-mass-model a more precise description of the real situation is possible with a four-pole circuit and a terminating-impedance. The difficult measurement determination of four-pole parameters can be substituted by a simple impedance measurement. From the impedance function given as a rational function and by development in a continued fraction the equivalent circuit can be determined. Then the four-pole parameters are calculable. The effort for the measurement is transferred to the calculation. The so obtained model enables a better understanding of the frequency behaviour of a mechanical system.