National Institute of the Republic of Serbia
ὅδε οἶκος, ὦ ἑταῖρε, μνημεῖον ἐστιν ζωῶν τῶν σοφῶν ἀνδρῶν, καὶ τῶν ἔργων αὐτῶν
Seminar Mechanics of Machines and Mechanisms - Models and Mathematical Methods
PROGRAM
Plan rada Seminara Mehanika mašina i mehanizama - modeli i matematičke metode za JANUAR 2023.
UTORAK, 24.01.2023. u 17:00, sala 301f, Kneza Mihaila 36 i Live stream
Miloš Sedak, Faculty of Mechanical Engineering, University of Belgrade, Serbia
THE USE OF METAHEURISTIC ALGORITHMS FOR THE OPTIMAL DESIGN OF PLANETARY GEARBOXES
Due to the large number of design variables and numerous constraints that must be satisfied, including compact construction (weight minimization) and power loss minimization, the optimal design of planetary gearboxes is a complex, multi-objective, and non-linear optimization problem. In stating this optimization problem, the formulations of the objective functions for the design of a planetary gearbox have been outlined, along with the appropriate constraints. With the intention of ensuring proper functioning, mounting, and meshing of the gears, the formulated constraints have been analyzed, and practical application domains for internal and external gear pairs have been formulated. In addition, a theoretical formulation and numerical procedure for calculating the power efficiency of planetary gearboxes have been outlined. The complexity of the problem and the requirement for the minimization of multiple mutually contradictory objectives require the development and application of multi-objective optimization problems.
In this work, we determine the domain of application of conventional optimization algorithms and focus on the use of metaheuristic optimization algorithms, specifically differential evolution, genetic algorithms, and particle swarm optimization, and their modifications, to solve this complex optimization problem. We considered the possible modifications of these algorithms by adding adaptive techniques for setting control parameters and combining them with other algorithms in order to improve the optimization performance.
The Pareto optimal solutions for the planetary gearbox optimization problem outlined in this work are then determined using numerical simulations. When these solutions are compared to the reference gearbox parameters found in the literature, it is found that the proposed algorithm can find solutions that reduce weight, improve efficiency, and prevent premature failure of gears.
Overall, this shows that hybrid metaheuristic algorithms can be used to design planetary gearboxes in the best way possible. It also shows a promising way to solve complex optimization problems in this field and other related fields.
Seminar Mehanika mašina i mehanizama - modeli i matematičke metode započeo je sa radom u junu 2018.god. Seminar se održava do dva puta mesečno, utorkom u periodu od 17.00 - 19.00 u Matematičkom institutu SANU.