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Experimental Analysis of One-Degree-of-Freedom (1DoF) Dynamic System Controlled by Optimized Inverted Pendulum

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Abstract

Purpose

An experimental–numerical study of an inverted pendulum system to control a reduced model of a main system is developed in this work.

Method

Initially, a dynamic system model with one degree of freedom (1DoF) translational in the horizontal direction is analyzed. To this system is coupled a passive control device in the geometry of a tuned mass damper inverted pendulum (TMD-IP). Different TMD-IP configurations are analyzed. The theoretical formulation adopted for free and forced vibration analysis is presented. Subsequently, an experimental bench composed of a reduced model with 1DoF, an TMD-IP and a dynamic exciter is designed and constructed. The data acquisition is performed via video techniques. A sensitivity analysis is performed, as well as an optimization, with the intention of finding the optimal parameters for the TMD-IP.

Results

Experimental and numerical analyses are performed on free vibration as well as forced vibration. Comparison of the results obtained showed a good agreement.

Conclusions

The TMD-IP showed to be a good solution reducing the main system horizontal vibrations.

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Acknowledgments

The authors are grateful to the Coordination for the Improvement of Higher Education Personnel (CAPES)—Finance Code 001, Brazilian National Council for Scientific and Technological Development (CNPq) and the Federal District Foundation for Research Support (FAPDF) for financial support of this research.

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Authors and Affiliations

  1. PPG, Graduate Program in Engineering Material Integrity, University of Brasilia, Campus of Gama (FGA), Gama, 72444-240, Brazil

    Diogo V. Resende, Marcus V. G. de Morais & Suzana M. Avila

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  1. Diogo V. Resende
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  2. Marcus V. G. de Morais
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  3. Suzana M. Avila
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Correspondence to Suzana M. Avila.

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Resende, D.V., de Morais, M.V.G. & Avila, S.M. Experimental Analysis of One-Degree-of-Freedom (1DoF) Dynamic System Controlled by Optimized Inverted Pendulum. J. Vib. Eng. Technol. 8, 471–481 (2020). https://doi.org/10.1007/s42417-020-00198-2

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