Host: The Japan Society of Mechanical Engineers
Name : [in Japanese]
Date : September 09, 2018 - September 12, 2018
This paper is concerned with wave analysis and wave control of periodic cascade-connected damped mass-spring subsystems. Mass, spring constant and damping coefficient in the system change periodically along the layers, and thus the coefficient matrix of the recurrence formula representing each layer dynamics changes periodically. The system is a generalization of our previous works for uniform and uniformly varying cascade-connected damped mass-spring systems. In this paper, we consider wave analysis and wave control for this type of the systems and derive the impedance matching controller, and discuss properties of the secondary constants. The characteristic impedances have positive real property which guarantees the closed loop stability, and the propagation constants have some properties for the system to be analyzed by traveling waves. A numerical example illustrates effectiveness of the impedance matching controller for vibration control.
