Development of a Design System for Multi-Stage Gear Drives (2nd Report: Development of a Generalized New Design Algorithm)

다단 치차장치 설계 시스템 개발에 관한 연구(제 2보: 일반화된 신설계 알고리즘의 개발)

  • Chong, Tae-Hyong (Dept. of Mechanical Engineering, Hanyang University) ;
  • Bae, In-Ho (Dept. of Mechanical Design, Graduate School of Hanyang University) ;
  • Park, Gyung-Jin (Dept. of Mechanical Engineering, Hanyang University)
  • 정태형 (한양대학교 기계공학과) ;
  • 배인호 (한양대학교 대학원 기계설계학과) ;
  • 박경진 (한양대학교 기계공학과)
  • Published : 2000.10.01

Abstract

The design of multi-stage gear drives is a time-consuming process because it includes more complicated problems, which are not considered in the design of single-stage gear drives. The designer has no determine the number of reduction stages and the gear ratios of each reduction stage. In addition, the design problems include not only dimensional design but also configuration design of gear drive elements. There is no definite rule or principle for these types of design problems. Thus the design practices largely depend on the sense and the experiences of the designer, and consequently result in undesirable design solution. A new and generalized design algorithm has been proposed to support the designer at the preliminary phase of the design of multi-stage gear drives. The proposed design algorithm automates the design process by integrating the dimensional design and the configuration design process. The algorithm consists of four steps. In the first step, the user determines the number of reduction stages. In the second step, gear ratios of every stage are chosen using the random search method. The values of the basic design parameters of a gear are chose in the third step by using the generate and test method. Then the values of the dimensions, such as pitch diameter, outer diameter and face width, are calculated for the configuration design in the next step. The strength and durability of each gear is guaranteed by the bending strength and the pitting resistance rating practices by using AGMA rating formulas. In the final step, the configuration design is carried out using simulated annealing algorithm. The positions of gears and shafts are determined to minimize the geometrical volume (size) of a gearbox while avoiding interferences between them. These steps are carried out iteratively until a desirable solution is acquired. The proposed design algorithm is applied to the preliminary design of four-stage gear drives in order to validate the availability. The design solution has considerably good results in both aspects of the dimensional and the configuration design.

Keywords

References

  1. 정태형, 이성주, 배인호, 박경진, '다단 치차장치 설계 시스템 개발에 관한 연구 (제 1 보),' 한국정밀공학회지, 제 17 권, 제 9 호, 2000
  2. AGMA Standard 917-B97, 'Design Manual for Parallel Shaft Fine-Pitch Gearing,' American Gear Manufacturers Association, 1997
  3. Niemann, G., and Winter, H., 'Maschinenelemente,' Band II (In German), 1989
  4. 박영조, '기계설계,' 보성문화사, 1997
  5. Townsend, D. P., 'Dudley's Gear Handbook,' McGraw-Hill, 1992
  6. ISO Standard 54-1977, 'Cylindrical Gears for General Engineering and for Heavy Engineering - Modules and Diametral Pitches,' International Organization for Standardization, 1977
  7. 仙波正莊, '新版 齒車傳動機構設計のポイント.' 日本規格協會, 1988
  8. ANSI/AGMA Standard 2101-C95, 'Fundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth,' American Gear Manufacturers Association, 1995
  9. 정태형, 김민수, '컴퓨터를 이용한 동력전달용 인벌류우트 원통치차의 설계,' 대한기계학회 논문집, Vol. 14, No. 3, pp. 594-602, 1990
  10. 정태형, 이후덕, 배인호, '부피 및 물림 진동을 고려한 헬리컬 기어의 설계,' 대한기계학회 논문집, 제 23 권, 제 10 호, pp. 1716-1722, 1999
  11. Szykman, S., and Cagan, J., 'Constrained Three-Dimensional Component Layout Using Simulated Annealing,' ASME J. of Mechanical Design, Vol. 119, No. 2, pp. 28-35, 1997