Reverse task as a designing of mechatronic vibrating branched systems

Abstract

In this paper a new approach for designing mechatronic vibrating branched structures has been presented. Mechatronic structures have been built from mechanical discrete systems connected to piezoelectric actuator and externalLxRxCx network, with different configurations. Modeling simplification has been performed by use of non dimensional transformations and retransformations. In each case reverse task has been solved by distribution into partial fraction method in respect to required dynamic properties in form of frequency spectrum: resonant and anti resonant frequencies. Furthermore, different configurations of final LxRxCx network have been presented. These considerations have been supported by calculation examples, and all results have been presented in the graphical form. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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

“…Basing on [7,8], by the use of algorithms for dimensionless transformations and retransformations, one transforms mechanical replacement models into final mechatronic structures.…”

“…The advantage is that numerous repetitions of calculations typical for analysis can be avoided. Researches described in [5,6] were extended by the authors for solving the reverse task of mechatronic discrete systems, presented on the examples of branched [7] and mixed [8] systems. In this case mechatronic systems were considered as combinations of mechanical discrete models and piezoelectric elements connected to external electric networks L x R x C x , where all parameters were with positive values in relation to the assumptions and theorems described in [5,6].…”

“…This creates several solutions for given poles and zeros as the criteria. Moreover, by application of additional damping elements proportional to stiffness or inertial elements, the combination of the systems that comply with the given requirements can be significantly increased [7,8]. The considered mechatronic structures can be obtained by dimensionless transformation and retransformation of mechanical replacement models.…”

“…As parameters identification is very important [10], the authors investigated, on the basis of the example of a cascade mechatronic LC system, which stiffness elements are important and have the influence on negative capacitance in the external electric network. Additionally, considering works related to physical realizations of mechanisms and systems that follow the negative stiffness [11,12], the authors expand hitherto researches from the problem of synthesis of mechanical [5,6] and mechatronic [7,8] systems to the investigations focused on negative value parameters: stiffness and capacitance.…”

Use of piezoelectric foils as tools for structural health monitoring of freight cars during exploitation

“…The authors in their works also take is-sues related to the analysis and synthesis of vibrating mechanical and mechatronic systems including those in which the classical or nonclassical piezoelectric transducers are used as actuators or vibration dampers [3, 5, 7-9, 26, 27, 31]. In the Gliwice Research Centre they are also conducted extensive research in the field of analysis and synthesis of mechanical systems and mechatronics [6,12,13,21,33].…”