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A Pendulum Driven by a Crank-Shaft-Slider Mechanism and a DC Motor—Mathematical Modeling, Parameter Identification, and Experimental Validation of Bifurcational Dynamics

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Dynamical Systems: Theoretical and Experimental Analysis

Abstract

In this work, we investigate numerically and experimentally the dynamics of a pendulum vertically excited by a crank-shaft-slider mechanism driven by a DC motor. The power supplied to the DC is small enough to observe return influence of the pendulum dynamics on the motor angular velocity. In the performed experiments, the motor is supplied with constant time voltages. A series of experimental periodic solutions allowed to estimate the model parameters and, in the further step, predict bifurcation phenomena observed in the real object.

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Acknowledgments

The work has been supported by the Polish National Science Centre, MAESTRO 2, No. 2012/04/A/ST8/00738.

This is an extended version of the work [9] presented at the 13th Conference on Dynamical Systems—Theory and Applications, December 7–10, 2015, Łódź, Poland.

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Correspondence to Grzegorz Kudra .

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Wasilewski, G., Kudra, G., Awrejcewicz, J., Kaźmierczak, M., Tyborowski, M., Kaźmierczak, M. (2016). A Pendulum Driven by a Crank-Shaft-Slider Mechanism and a DC Motor—Mathematical Modeling, Parameter Identification, and Experimental Validation of Bifurcational Dynamics. In: Awrejcewicz, J. (eds) Dynamical Systems: Theoretical and Experimental Analysis. Springer Proceedings in Mathematics & Statistics, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-319-42408-8_31

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