Design and application of a biconjugate closed-end cylindrical single-cam pair

Abstract

A biconjugate closed-end cylindrical single-cam pair refer to a cylindrical cam pair that control two roller followers. Based on the theory of space conjugated surface and vector revolving, by analyzing the conjugation relation between two rollers and cam surfaces of a biconjugate closed-end cylindrical single-cam pair, the parameter equations of the moving path of the axis of the left and right rollers that envelope the cam surface are established. Taking the minimum clearance between the roller and cam surfaces as the optimization objective, the parameter equation was optimized by adjusting the coefficient of the parameter equations of the left and right rollers without changing the structural size of the cam pair, and the optimized equation can be directly used as the tool path of cam machining. Finally, the cam was machined by a 5-axis NC machining center, and the optimized effect was verified by measuring the clearance between the work face of the cam and the rollers after the assembly of the cam, swing rods, and other parts. The obtained results showed that the clearance between the work face of cam and rollers were significantly reduced after optimization, indicating that the optimization method of cam is reasonable.

Keywords

Biconjugate closed-end cylindrical single-cam pair conjugate surfaces mathematic model optimization multiaxis NC machining

Get full access to this article

View all access options for this article.

References

Dhande

Bhadoria

Chakraborty

. A unified approach to the analytical design of three-dimensional cam mechanisms. J Eng Ind 1975; 97(1): 327–333.

Sin

Gang

Yun

. A study on shape design of cylindrical cam with rotating roller follower in Roller-Gear-Cam mechanism. Trans Korean Soc Mech Eng A 2002; 26(8): 1527–1533.

Yoon

Shin

. Study on shape design of cylindrical cam with a translating roller follower. Trans Korean Soc Mech Eng A 2003; 27(8): 1324–1330.

Chen

. Design of cylindrical cam with oscillating follower based on 3D expansion of Planar Profile Model. Chin J Mech Eng 2009; 22(05): 665–670.

Hwang

Tsay

. Profile surfaces of cylindrical cams with arbitrarily-shaped followers. Proc IMechE, Part C: J Mechanical Engineering Science 2009; 223(8): 1943–1953.

Tsay

Lin

. Improving the geometry design of cylindrical cams using nonparametric rational B-splines. Comput Des 1996; 28(1): 5–15.

Hsieh

. Design and machining of cylindrical cam with meshing indexing disc. Proc IMechE, Part C: J Mechanical Engineering Science 2007; 221(3): 341–351.

Tsay

Chen

Lin

. A direct method for determining meshing surfaces of globoidal cams with tapered roller followers. Proc IMechE, Part C: J Mechanical Engineering Science 2009; 223(7): 1667–1676.

Lee

She

. Tool path generation and error control method for multi-axis NC machining of spatial cam. Int J Mach Tools Manuf 1998; 38(4): 277–290.

10.

Lee

Luo

Chen

. Interference-free multi-axis NC machining of cylindrical cam using enveloping element. In: International conference on advanced design and manufacture, 2009, vols. 419–420, pp.333–336, Switzerland: Trans Tech Publications.

11.

Duca

Simionescu

. The exact synthesis of single-disk cams with two oscillating rigidly connected roller followers. Mech Mach Theory 1980; 15(3): 213–220.

12.

Duca

Simionescu

Bercea

. Specific problems for designing single-disk cam mechanisms with oscillating double roller follower. Mech Mach Theory 1991; 26(7): 677–686.

13.

Wunderlich

. Single-disk cam mechanisms with oscillating double roller follower. Mech Mach Theory 1984; 19(4-5): 409–415.

14.

Lin

Liu

. Characteristic analysis and application of composite motion curve-face gear pair. J Braz Soc Mech Sci 2016; 38: 1797–1804.

15.

Sun

Tang

Zheng

, et al. Optimal design of a nonlinear series elastic actuator for the prosthetic knee joint based on the conjugate cylindrical cam. IEEE Access 2019; 7: 140846–140859.

16.

Yinghong

Zhou

. Improved design of the cam on grinding head of ceramic polishing machine. Mech Eng 2006; 3: 58–60.

17.

Yinghong

Peng

Yulong

. Optimization design of end-cylindrical CAM curve of swing grinding head based on MATLAB. Light Industry Machinery 2012; 30(01): 35–38.

18.

Chen

Wang

Colbourne

. A general formula for determining the normal to the path of contact in parallel-axis gearing. In: ASME 1992 design technical conferences, 1992. New York: ASME.

19.

López

Pérez . MATLAB optimization techniques. New York, NY: Apress, 2014.

20.

Litvin

Donno

Peng

, et al. Integrated computer program for simulation of meshing and contact of gear drives. Comput Methods Appl Mech Eng 2000; 181(1-3): 71–85.

21.

Yang

Zhang

, et al. The study of building cylindrical cam modeling based on C-hooks the function of MasterCAM software. Mach Manuf 2003; 41: 40.

22.

Guo

Zhao

Jiang

. Process simulation for five-axis grinding machining using an analytical method. Proc IMechE, Part C: J Mechanical Engineering Science 2018; 232(17): 2965–2975.

23.

Rooker

Potts

Worden

, et al. Comparing approaches for multi-axis kinematic positioning in machine tools. Proc IMechE, Part B: J Engineering Manufacture 2021; 235(10): 1698–1711.

24.

ISO 1328-1:1995. Cylindrical gears-ISO system ofaccuracy-part1: Definitions and allowable values of deviations relevant to corresponding flanks of gear teeth.