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Math. Comput. Appl. 2018, 23(1), 12; https://doi.org/10.3390/mca23010012

Nonlinear Multi-Frequency Dynamics of Wind Turbine Components with a Single-Mesh Helical Gear Train

1
Department of Physics and Applied Physics, University of Buea, Buea 63, Cameroon
2
African Institute for Mathematical Science (AIMS), Limbe 608, Cameroon
3
Polytechnic, Saint Jerome Catholic University of Douala, Douala 5949, Cameroon
4
Laboratory of Research on Advance Materials and Non-linear Sciences (LaRaManS), Department of Physics and Applied Physics, University of Buea, Buea 63, Cameroon
*
Author to whom correspondence should be addressed.
Received: 12 January 2018 / Revised: 13 February 2018 / Accepted: 24 February 2018 / Published: 1 March 2018
(This article belongs to the Section Engineering)
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Abstract

A complex nonlinear model for a single-mesh helical gear train is developed by including a time-varying mesh stiffness, axial vibrations, torsional vibrations, shaft and bearing damping, generator back EMF (Electromotive Force) and gear backlashes. With the help of a time series and Fast Fourier Transform (FFT) frequency spectrum, the effects of these nonlinear terms on the wind turbine and generator rotational speeds are studied under different excitation conditions by numerically integrating the associated equations using the RK4 algorithm. Results show that for lightly damped oscillations, an extra harmonic is induced in the generator dynamics due to contributions from internal excitations. However, this extra vibration can be suppressed at higher damping. Big helical angles will generally induce heavy nonlinear vibrations in the turbine and generator; a smaller mesh frequency will induce extra noise in the generator; and the external excitation due to wind gust has a greater influence on the nonlinearity of the wind turbine dynamics as compared to the internal excitations due to static transmission errors, time-varying mesh stiffness and the generator back EMF. View Full-Text
Keywords: nonlinear; single-mesh; dynamics nonlinear; single-mesh; dynamics
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MDPI and ACS Style

Ayuketang Arreyndip, N.; Moise Dikande, A.; Joseph, E. Nonlinear Multi-Frequency Dynamics of Wind Turbine Components with a Single-Mesh Helical Gear Train. Math. Comput. Appl. 2018, 23, 12.

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