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Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shaker

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Abstract

In this paper, we present a mathematical model and numerical investigations of a pendulum system excited by an EDS (Electro-Dynamical Shaker). The dynamic analysis is considered by history of the time, phase plane, Poincaré map, bifurcation diagram, FFT and Lyapunov Exponent. Numerical simulations demonstrate that the model has quasi-periodic or periodic behavior for certain range of parameters.

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English

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Mathematics in Engineering, Science and Aerospace, v. 11, n. 3, p. 533-540, 2020.

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