Wave-based analysis and wave control of damped mass-spring systems

This paper is concerned with the active vibration control of non-uniform damped mass-spring systems by wave control. In particular, this study considers the clarification of a class of damped mass-spring systems that can be analyzed by a wave-based analysis. Because the wave properties are determined by the propagation constants, three conditions for these propagation constants are considered. A necessary and sufficient condition for the physical parameters to hold the three conditions is obtained. Moreover, for this class of damped mass-spring systems, the properties of the propagation constants and the characteristic impedances, which achieve the impedance matching, are studied. Numerical examples are shown to prove the efficiency of the impedance-matching controller