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Indication of the suitable model of a mechatronic system as an introduction to the synthesis task

Płaczek M.

Journal of Achievements in Materials and Manufacturing Engineering

2011

Vol. 49, nr 2

338--349

Purpose: The identification of the optimal mathematical model that meets the assumed criteria is the main purpose of this paper, which is an introduction to the task of synthesis of one-dimensional vibrating mechatronic systems. Assumed criteria are to provide the accurate analysis of the system together with maximum simplification of used mathematical tools and minimize required amount of time. The correct description of a given system by its model during the design phase is a fundamental condition for proper operation of it. Therefore, the processes of modelling, testing and verification of used models were presented. On the basis of carry out analysis the optimal (in case of assumed criteria) model was selected and it will be used to realize the task of synthesis in future works. Design/methodology/approach: A series of mathematical models with different simplifying assumptions was created. Using the created models and corrected approximate Galerkin method the dynamic characteristic of the considered system was designated. The analysis of an influence of parameters of the system’s components on obtained characteristic was conducted. The approximate method was verified to check its accuracy and decide if it can be used to analyse such kind of mechatronic systems. Findings: The main result of the work is an indication of the suitable mathematical model of the considered system. Research limitations/implications: Influence of temperature changes on the transducer’s properties was neglected in developed mathematical models. It will be considered in the future works. Practical implications: Presented method of mechatronic system’s analysis can be use in process of designing of technical devices where both, simply and reverse piezoelectric effects can be used. Originality/value: Development of the mathematical models in which the considered system is modelled as a combined beam.