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Comparison between simulation and real two degrees of freedom vibration system

Abstract

In engineering, to correctly understand the elements presented in vibratory systems and the physics involved in them is paramount for designing of structures and machines, for example. Although in many cases, in the study of vibratory systems it is not possible to analyze the system only with one degree of freedom, systems with two degrees or more are very little approached in General Physics books. This article presents the theoretical basis for the analysis of systems of two degrees of freedom and presents a system constructed with two masses and three springs vibrating in the direction of the gravitational field of the Earth. For this system, a simulation was carried out using the Modellus software, which was compared with the actual system vibration data obtained through the Tracker software. The measured data were analyzed using fitting curves according to the proposed physical model and by means of Fast Fourier Transform. In both cases, the found results for the two modes of vibration are in according with the predicted by theory.

Keywords:
Mechanical Vibrations; Tracker; Modellus

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