Abstract

This paper deals with a methodology for the preliminary design of a mechatronic system regarding the vibrational aspects using analytical approach with Modelica/Dymola. In fact, today, the most commonly used approach for modeling the vibrational behavior of a system is the finite element method. This method is effective however; it is very costly in computation time and space memory and not allows analyzing the whole mechatronic system because of the large number of components to be integrated. The main purpose of this work is to create compact analytical models and especially flexible beams in Modelica/Dymola. These elements can be thereafter inserted in a mechatronic system in order to study its vibrational aspects. The proposed approach aimed to highlight the importance of the structure analysis from the early stage of design and how the developed models allow a fast modeling. Our proposed approach is illustrated for the wind turbine system. In order to predict the motion and the deformation of the flexible system, the derived model considers the structural dynamics of the system and includes the dynamic coupling between the subcomponents. Selected simulation results have been presented to validate the model with respect to scientific reference case. The correctness of the results has been also ascertained by a comparison with those obtained by the finite element analysis using ABAQUS and with those obtained by the model based on the Beam component which belongs to the Modelica Flexible Bodies Library.

Highlights

  • Mechatronic system can be considered as a mechanical, electrical and control subsystem interacting among each other

  • In order to validate the flexible rotating beam model implemented in Dymola/Modelica, the results derived in this paper have been compared with those obtained with the finite element analysis using ABAQUS

  • A models library formed by two flexible beam models has been developed in Modelica/ Dymola based on analytical methods

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Summary

Introduction

Mechatronic system can be considered as a mechanical, electrical and control subsystem interacting among each other. The main contribution of this work is to propose a method for the preliminary design of a mechatronic system based on an analytical approach, taking into account the effect of vibration. We developed compact analytical models in Modelica/ Dymola, intended to study the vibrational behavior of a mechatronic system. These models are collected from an exploration of the literature to extract and test the models in the pre-sizing phase of a mechatronic system. We established a simple model and a quick method to estimate the dynamic behavior of a mechatronic system using Modelica/Dymola In this approach, only basic data about the particular wind turbine is required.

Analytical model of a flexible beam with a rigid mass
Analytical model of a rotating flexible beam
Preliminary model of a wind turbine
Preliminary model of the wind turbine blade
Description of the coupled tower-blade system
Model validation of the rotating flexible beam
Conclusion
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