An Analytical Approach to Model-Based Parametric Design of Mechatronic Systems with Modelica: A Case Study

Abstract

Parametric study is a crucial step in the design process of a mechatronic system. In fact, it helps designers to describe the model parameters, the physical phenomena and to modify the design parameters to reach more satisfactory results in the predesign phase. The main idea of this paper is to develop a novel pre-designing approach to perform parametric studies concerning complex interactions among the different internal components of a system. In this paper, we are interested only in the vibration constraint between the different components embedded in a mechatronic system. To illustrate our approach, we used a specific case study: the vibration interaction between a dynamic excitation and a flexible beam as a support structure, having simply supported boundary conditions is investigated. The position of the perturbation source over the beam is parametrized and the feedback effect between components is taken into consideration. Our methodology is based on a pure analytical approach with Modelica/Dymola as an object oriented modeling language. This model can help designers to perform a parametric study and to examine the impact of the design variables on the mechatronic system response at an early stage of design. Object-oriented approach is used to produce a reusable component-based architecture.