Optimization of high-speed angular contact ball bearing for aircraft gearbox utilizing an evolutionary multi-objective algorithm, NSGA-III

We develop a program for predicting bearing performance, including the maximum contact stress, bearing power loss, minimum lubricating film thickness, static safety factor, and dynamic life, and an optimal design for high-speed angular contact ball bearings in aircraft gearboxes using optimization a...

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Published in:Advances in mechanical engineering Vol. 16; no. 9
Main Authors: Kim, Jae-Hyun, Kim, Beom-Soo, Im, Dongu, Park, Jung-Ho, Moon, Dong-Joo, Park, Young-Jun
Format: Journal Article
Language:English
Published: London, England SAGE Publications 01.09.2024
Sage Publications Ltd
SAGE Publishing
Subjects:
Aircraft
Aircraft performance
Ball bearings
Business metrics
Contact angle
Contact stresses
Design factors
Design optimization
Equilibrium equations
Evolutionary algorithms
Film thickness
Gearboxes
Genetic algorithms
High speed
Indicators
Kinematics
Multiple objective analysis
Optimization
Performance evaluation
Performance measurement
Performance prediction
Safety factors
Sorting algorithms
Static equilibrium
angular contact ball bearing
NSGA-III
multi-objective optimization
CRITIC method
Aircraft gearbox
ISSN:1687-8132, 1687-8140
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Abstract We develop a program for predicting bearing performance, including the maximum contact stress, bearing power loss, minimum lubricating film thickness, static safety factor, and dynamic life, and an optimal design for high-speed angular contact ball bearings in aircraft gearboxes using optimization algorithms. A program is developed to predict bearing performance by calculating the loads and displacements of individual balls based on the bearing’s kinematic and static equilibrium equations. Next, an optimization program is developed with non-dominated sorting genetic algorithm III (NSGA-III), wherein calculated bearing performance indicators serve as constraints or objective functions. The performance of individuals within the final Pareto front is evaluated using the inter-criteria correlation (CRITIC) and weighted product methods. The optimization performances of NSGA-III and NSGA-II are compared based on their hypervolume indicators. A solution of the kinematic and static equilibrium equations under the load cases and duty cycles of real aircraft gearboxes is obtained, enhancing the prediction accuracy. Furthermore, optimization, including bearing performance metrics rarely considered in previous studies, is performed. Optimal specifications superior to reference bearings employed in aircraft gearboxes are obtained, enhancing all three objective functions or specific objective functions. The optimization performance of NSGA-III is confirmed to surpass that of conventional NSGA-II.
AbstractList We develop a program for predicting bearing performance, including the maximum contact stress, bearing power loss, minimum lubricating film thickness, static safety factor, and dynamic life, and an optimal design for high-speed angular contact ball bearings in aircraft gearboxes using optimization algorithms. A program is developed to predict bearing performance by calculating the loads and displacements of individual balls based on the bearing’s kinematic and static equilibrium equations. Next, an optimization program is developed with non-dominated sorting genetic algorithm III (NSGA-III), wherein calculated bearing performance indicators serve as constraints or objective functions. The performance of individuals within the final Pareto front is evaluated using the inter-criteria correlation (CRITIC) and weighted product methods. The optimization performances of NSGA-III and NSGA-II are compared based on their hypervolume indicators. A solution of the kinematic and static equilibrium equations under the load cases and duty cycles of real aircraft gearboxes is obtained, enhancing the prediction accuracy. Furthermore, optimization, including bearing performance metrics rarely considered in previous studies, is performed. Optimal specifications superior to reference bearings employed in aircraft gearboxes are obtained, enhancing all three objective functions or specific objective functions. The optimization performance of NSGA-III is confirmed to surpass that of conventional NSGA-II.
Author Kim, Jae-Hyun
Im, Dongu
Park, Jung-Ho
Park, Young-Jun
Kim, Beom-Soo
Moon, Dong-Joo
Author_xml – sequence: 1
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  givenname: Jung-Ho
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  fullname: Moon, Dong-Joo
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  givenname: Young-Jun
  orcidid: 0000-0003-0018-2310
  surname: Park
  fullname: Park, Young-Jun
  email: yjpark95@snu.ac.kr
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Issue 9
Keywords angular contact ball bearing
NSGA-III
multi-objective optimization
CRITIC method
Aircraft gearbox
Language English
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Snippet We develop a program for predicting bearing performance, including the maximum contact stress, bearing power loss, minimum lubricating film thickness, static...
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SubjectTerms Aircraft
Aircraft performance
Ball bearings
Business metrics
Contact angle
Contact stresses
Design factors
Design optimization
Equilibrium equations
Evolutionary algorithms
Film thickness
Gearboxes
Genetic algorithms
High speed
Indicators
Kinematics
Multiple objective analysis
Optimization
Performance evaluation
Performance measurement
Performance prediction
Safety factors
Sorting algorithms
Static equilibrium
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Title Optimization of high-speed angular contact ball bearing for aircraft gearbox utilizing an evolutionary multi-objective algorithm, NSGA-III
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