The Reverse Task of Discrete Mechatronic Vibration Systems With Negative Stiffness and Capacitance Elements

Abstract

the use of different distribution methods of dynamical characteristics in the form of slowness function, mechatronic discrete systems have been synthesized. Each model consists of mechanical discrete part and a piezostack actuator connected to L x R x C x external network that has to comply with dynamical requirements in the form of poles and zeros. External network can work within different configurations. In this paper, one investigates the influence of negative parameters of stiffness in mechanical replacement models and capacitance in final mechatronic structures, after dimensionless transformations and retransformations.

The Problem of Negative Vibration Isolation in Various Discrete Mechatronic Systems

“…3. (11) which is taken based on the distribution method of dynamical characteristics (1) and piezo equations (2, 3) used for dimensionless transformation and retransformation of the dynamical equations to the mechatronic structures, Fig. 1c.…”

“…Following presented graphs, negative capacitance added in the external electric network, combined with negative resistance is giving the best vibration reduction for the given examples. The level of vibration elimination in considered systems depends on the selection of negative stiffness (11), the type of the structure received as the result of selected distribution method in synthesis process and the damping adjustment with regards to equations (5-7).…”

“…Based on latest achievements related with negative value elements [4][5][6][7]13], the paper is the continuation of the recent Authors works [11,12], focused on the problem related to negative value elements in reverse task of mechatronic discrete system. New approach refers to the investigations on negative vibration isolation elements in synthesis process, done on the examples of cascade systems with two DOF in replacement model and one DOF in the final mechatronic system.…”

“…The problem of synthesis of mechanical systems [8] has been developed by the authors for mechatronic discrete systems, where modelling oriented for various damping performances [9] and comparisons of active and semi-active damping functions [10] were done. While designing of mechatronic discrete systems, by use of selected synthesis methods [8,9], it's possible to determine and use parameters that will lead to negative value elements in the structure [11]. Considered mechatronic discrete structures contain mechanical discrete model connected to the piezostack actuator and the external electric network.…”

“…Considered mechatronic discrete structures contain mechanical discrete model connected to the piezostack actuator and the external electric network. Elements that can exhibits negative value, has been identified as the negative stiffness [11,12], found after distribution of dynamical characteristics with well-known synthesis methods [8], and after dimensionless transformation and retransformation as the negative capacitance, realized by the circuit shown in [13].…”