Application of Electric Subsystem as Implementation of Reduction of Mechanical Vibrations

Abstract

This work presents methods of reduction of the vibration of mechanical systems by means of active elements as well as examples of implementation of active reduction of vibration by means of electrical elements [1], [2]. This work also describes a structural and parametric synthesis, which can be defined as the design of systems meeting specific requirements. These requirements refer to the frequency values of the systems’ vibration. The presented approach i.e. a non-classical synthetic method applied in designing mechanical systems with elements reducing unwanted vibrations. As a result of the synthesis, one can obtain the structure and parameters of the system of required properties. The synthesis may also be applied to modify the already existing systems in order to achieve a desired result [1–3].

Analytical approach to piezoelectric model synthesis with the use of Cauer’s method for system design

“…Cauer's algorithm mentioned in Refs. 8,11,33,34 was used to create four different types of mechanical models depending on the allocation of coefficients in the chosen transfer function polynomial. Depending on the polynomial, the cascade model resulting from the chain fractioning process can be constrained on one end or not constrained at all.…”