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

2015 ◽  
Vol 62 (2) ◽  
pp. 145-155 ◽  
Author(s):  
Katarzyna Białas ◽  
Andrzej Buchacz ◽  
Damian Gałeziowski
Keyword(s):  
Discrete Systems ◽  
Negative Stiffness ◽  
Dynamical Characteristics ◽  
Poles And Zeros ◽  
Discrete Part ◽  
Piezostack Actuator

Abstract By 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 LxRxCx 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

2016 ◽  
Vol 251 ◽  
pp. 133-138
Author(s):  
Andrzej Buchacz ◽  
Damian Gałęziowski
Keyword(s):  
Vibration Isolation ◽  
Discrete Systems ◽  
Point Of View ◽  
Synthesis Process ◽  
Mechatronic Systems ◽  
New Approach ◽  
Negative Damping ◽  
Discrete Part ◽  
Process Elements ◽  
Displacement Model

In the work the problem of designing of mechatronic discrete systems have been studied for new possibilities of utilization of negative vibration isolation elements. Systems have cascade form and contains the piezo stack actuator and an external electric network connected to the mechanical discrete part. The main focus of the paper is given to the parameters related with negative damping, comparison of usage them based on dynamical flexibilities functions and study on constrains and limitations coming from potential practical application point of view. The new approach is related with placing the issue of negative value damping elements inside the synthesis process. Elements that can exhibits negative value, have been identified and found after distribution of dynamical characteristics, during creation of the mechanical displacement model.

Formalization of Discrete Mechatronic Systems with Negative Value Parameters

2015 ◽  
Vol 809-810 ◽  
pp. 105-110
Author(s):  
Andrzej Buchacz ◽  
Damian Gałęziowski
Keyword(s):  
Vibration Control ◽  
Design Method ◽  
Discrete Systems ◽  
Synthesis Process ◽  
Electric Networks ◽  
Mechatronic Systems ◽  
General Design ◽  
Dynamical Characteristics

In the paper, the problem of designing of mechatronic discrete systems for vibration control has been investigated and generalized. As the design method, the synthesis has been used. Main focus of the paper is given to formalization of the mechatronic structures that contains elements with negative values on different stages of the synthesis process. The study is done based on different distributions methods of dynamical characteristics, dimensionless transformation and retransformation algorithm, simultaneously with verification of possible configurations of connections of piezostack actuators with external electric networks. As the result, various classifications of mechatronic discrete systems and general design constrains have been presented and discussed.

scholarly journals Dynamic Characteristics of Four Systems of Difference Equations with Higher Order

2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Abdul Qadeer Khan ◽  
Shahid Mahmood Qureshi ◽  
Imtiaz Ahmed
Keyword(s):  
Fixed Point ◽  
Rate Of Convergence ◽  
Difference Equations ◽  
Dynamic Characteristics ◽  
Discrete Systems ◽  
Higher Order ◽  
Dynamical Characteristics ◽  
Globally Stable ◽  
Theoretical Results

In this paper, we explore the global dynamical characteristics, boundedness, and rate of convergence of certain higher-order discrete systems of difference equations. More precisely, it is proved that for all involved respective parameters, discrete systems have a trivial fixed point. We have studied local and global dynamical characteristics at trivial fixed point and proved that trivial fixed point of the discrete systems is globally stable under respective definite parametric conditions. We have also studied boundedness and rate of convergence for under consideration discrete systems. Finally, theoretical results are confirmed numerically. Our findings in this paper are considerably extended and improve existing results in the literature.

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