Vibrations of the Elliptical Gears
Journal Title: Romanian Journal of Acoustics and Vibration - Year 2014, Vol 11, Issue 2
Abstract
In the paper we analyze the elliptical gears from the kinematic, dynamic, and of the inlaid torsional vibrations points of view. We study the uni-lobe and bi-lobe elliptical gears. To be out to determine the mechanical parameters for the dynamical calculation, one obtains, using AutoCAD, the solids that materialize the gears, by an algorithm, similar to the practical procedure to obtain the gears using a basic rack-type cutter. Thus one accurately obtains the masses and moments of inertia of the gears. To obtain the equation of motion, we used a dynamical model of a bar in rotational motion that replaces the mechanism consisting in driving motor, elastic linkage, fly wheel, and the gear of two elliptical gears. The integration of the equation of motion is numerically realized using the fourth order Runge-Kutta method, and a calculation program written in Turbo Pascal. Using certain script files we draw the diagrams of the angular velocity versus time, for the two types of mechanisms, in the variants with and without fly wheel. To study the torsional vibrations inlaid by the gears with elliptical gears, we performed an analysis in frequency (FFT) with the aid of a MatLab calculation program. We present the obtained frequency diagrams. Finally, the conclusions end this.
Authors and Affiliations
Dinel POPA, Sebastian PARLAC, Nicolae STANESCU, Grigore TECAU
Keywords
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