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2025 Vol.38, Issue 6 Preview Page

Research Paper

Bayesian Optimization Design for Minimizing Gear Transmission Error

기어 전달오차 최소화를 위한 베이지안 최적화 설계

Jeong-Min Park1†
,
Ki-Hyeok Bae1†
,
Min-Seo Kang2
,
Bonyoung Koo3
,
Min-Geun Kim4*
박 정민1†
,
배 기혁1†
,
강 민서2
,
구 본용3
,
김 민근4*
1Student, Department of Mechanical and Automotive Engineering, Seoul National University of Science & Technology, Seoul, 01811, Korea
2Graduate Student, Department of Automotive Engineering, Seoul National University of Science & Technology, Seoul, 01811, Korea
3Associate Professor, Department of Mechanical Engineering, Kunsan National University, Kunsan, 54150, Korea
4Assistant Professor, Department of Automotive Engineering, Seoul National University of Science & Technology, Seoul, 01811, Korea
1서울과학기술대학교 기계･자동차공학과 학사과정
2서울과학기술대학교 자동차공학과 석사과정
3국립군산대학교 기계공학과 부교수
4서울과학기술대학교 기계･자동차공학과 조교수
*Corresponding Author
†These authors contributed equally to this work.
31 December 2025. pp. 407-414
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Abstract

This paper proposes an optimal design method for minimizing gear transmission error using Bayesian Optimization to reduce gear noise and vibration. Transmission error is significantly influenced by gear geometry. Conventional ISO 6336 and AGMA 2101 analyses cannot fully reflect the actual tooth shape or contact ratio, while finite element analysis provides high accuracy but entails substantial computational cost due to fine meshing and nonlinear contact conditions. In this study, a simplified finite element model considering contact ratio was developed to improve computational efficiency. A Gaussian process surrogate model was constructed to predict transmission error using a limited number of samples, and the expected improvement criterion was employed to efficiently search for new optimal points. The effectiveness of the proposed optimization framework was verified by comparing its results with those obtained from a genetic algorithm, demonstrating that the Bayesian Optimization approach can achieve high accuracy with reduced computational effort.

Keywords
transmission error
bayesian optimization
gaussian process
expected improvement

본 논문에서는 기어 소음 및 진동 저감을 위해 베이지안 최적화 기법을 이용하여 기어 전달오차를 최소화하는 최적설계 기법을 제안하였다. 이는 기어의 형상에 큰 영향을 받는다. 기존의 ISO 6336과 AGMA 2101 기반의 전달오차 해석은 기어 형상과 물림률을 충분히 반영하지 못하며, 유한요소해석은 정확도가 높으나 세밀한 요소망과 접촉 비선형 해석으로 인해 계산 비용이 매우 크다는 한계가 있다. 본 연구에서는 물림률을 고려한 유한요소 간소화모델을 구성하여 비교적 적은 샘플로 정확한 확률 모델을 만들 수 있는 가우시안 프로세스 기반 대리모델과, 여기서 얻어진 기대치 개선값을 바탕으로 새로운 최적점을 탐색하였다. 제안된 기법의 결과를 유전자 알고리즘 기법과 비교하여 유효성을 검증하였다.

키워드
전달오차
베이지안 최적화
가우시안 프로세스
기대치 개선값
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Information
  • Publisher :Computational Structural Engineering Institute of Korea
  • Publisher(Ko) :한국전산구조공학회
  • Journal Title :Journal of the Computational Structural Engineering Institute of Korea
  • Journal Title(Ko) :한국전산구조공학회 논문집
  • Volume : 38
  • No :6
  • Pages :407-414
  • Received Date : 2025-10-27
  • Revised Date : 2025-11-03
  • Accepted Date : 2025-11-04
  • DOI :https://doi.org/10.7734/COSEIK.2025.38.6.407
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