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A Study on Optimization of Planetary Gear Trains

100%
Hüseyin Filiz İ., Olguner S., Evyapan E.
Acta Physica Polonica A
|
2017
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vol. 132
|
issue 3
728-733
EN
This study presents optimization of planetary gear train in a specific configuration. General characteristics of planetary gear trains are discussed briefly. A compound configuration for planetary gear train is selected and an optimization study is performed for this configuration. For the given input power, motor speed and overall gear ratio, modules, facewidths, teeth numbers of gears are found, satisfying the condition of minimum kinetic energy of the gear trains. In optimization, the objective is set to minimization of kinetic energy. Allowable bending stress and allowable contact stress are considered as design constraints. Minimum teeth number for a given pressure angle, center distance, recommendation on the facewidth, limitations on teeth ratios are considered as geometrical and kinematical constraints. The Matlab® Optimtool optimization toolbox is used. Results for certain operating conditions are obtained and tabulated.
2
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Conformable Fractional Gradient Based Dynamic System for Constrained Optimization Problem

81%
Evirgen F.
Acta Physica Polonica A
|
2017
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vol. 132
|
issue 3
1066-1069
EN
A conformable fractional gradient based dynamic system with a steepest descent direction is proposed in this paper for a class of nonlinear programming problems. The solutions of the dynamic system, modelled with the conformable fractional derivative are investigated to obtain the minimizing point of the optimization problem. For this purpose, we use a step variational iteration method, adapted to use a conformable integral definition. Numerical simulations and comparisons show that the conformable fractional gradient based dynamic system is both feasible and efficient for a certain class of equality constrained optimization problems. Furthermore, the step variational iteration method, combined with the conformable integral definition, is a reliable tool for solving a system of fractional differential equations.
3
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Solution of a Class of Optimization Problems Based on Hyperbolic Penalty Dynamic Framework

61%
Evirgen F.
Acta Physica Polonica A
|
2017
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vol. 132
|
issue 3
1062-1065
EN
In this study, a gradient-based dynamic system is constructed in order to solve a certain class of optimization problems. For this purpose, the hyperbolic penalty function is used. Firstly, the constrained optimization problem is replaced with an equivalent unconstrained optimization problem via the hyperbolic penalty function. Thereafter, the nonlinear dynamic model is defined by using the derivative of the unconstrained optimization problem with respect to decision variables. To solve the resulting differential system, a steepest descent search technique is used. Finally, some numerical examples are presented for illustrating the performance of the nonlinear hyperbolic penalty dynamic system.
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