Abstract
The modeling of the main conformities of real teeth geometry generation is carried out. A method and algorithms for analytical prediction of teeth errors are developed. A systemic model of real teeth geometry generation is proposed. General equations of the real teeth profiles of machined gears are derived. A correlation between the increments of coordinates and gear accuracy indicators is established. Direct measurement methods, diagnostics and factorial methods, and computational-probabilistic and computational-adaptive methods are proposed for the relative primary error function value calculation.
Control methods and systems for real teeth geometry generation are described. A full set of the possible ways of gear accuracy control is established, and a classification of the possible ways is made. Error change analysis and estimation of the risk of missing a defective part are carried out for various control systems in relation to element error control, factor methods, and for combined systems.
Technological methods for the accuracy control of gear machining are considered, and the general description of the accuracy control methods of gear machining is provided. Systematization of the levels and types of accuracy regulations is carried out. The possibilities of accuracy regulation at the technological process level, including the possibility of accuracy control of two- and three-tool processing methods within gear base surface position changes, are revealed. The processes’ initial parameters influence the establishment of the final gear accuracy. Analysis of accuracy control at the level of operations and transitions is carried out. While analyzing, factors allowing variation were established and compensatory methods of adaptive control were considered.
The principles of assurance of a gear’s optimal accuracy according to the given criteria are formulated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Adler, Y.P., Markova, E.V., Granovsky, Y.V.: Planning of Experiment in Finding the Optimal Conditions. Nauka Publ, Moscow (1976) 284 p. [In Russian]
Alikulov, D.E.: Modern Methods of Gear Error Control. NIIMASH Publ, Moscow (1971) 60 p. [In Russian]
Bazrov, B.M.: Determination of the total error in part’s machining. Bullet. Mech. Eng. 8, 8–11 (1978) [In Russian]
Ehrlenspiel, K., Kiewert, A., Lindemann, U.: Cost-Efficient Design. Springer (2007) 559 p
Erikhov, M.L.: On the issue of the synthesis of meshing with point contact. In: Theory of Gears in Machines, pp. 78–91. Mashinostroenie Publ, Moscow (1966) [In Russian]
Erikhov, M.L.: Principles of taxonomy, methods of analysis and issues of synthesis of gearing schemes. Doctor. tech. Sciences Thesis. Khabarovsk (1972). [In Russian]
Feldbaum, A.A., Butkovsky, A.G.: Methods of the theory of automatic control. – M.: Nauka, 744 p (1971) [In Russian]
Gulida, E.N.: Technology of Finishing Operations for Cylindrical Gears Processing. Vysshaya Shkola Publ, Lviv (1977) 167 p. [In Russian]
Jeff, C., Hamada, M.: Experiments: Planning, Analysis, and Optimization, 2nd edn. Wiley (2011)
Kalashnikov, S.N., Kogan, G.I., Kopf, I.A., et. al.: Production of gears. Handbook / Ed. B.A. Thaits. – M.: Mashinostroenie, 708 p (1975) [In Russian]
Khlus, A.A. Influence of generating speed deviations on the tooth profile of an involute spur gear. – The theory of mechanisms and machines, no. 9, 1970, pp. 129–132. [In Russian]
Khlus, A.A., Dudin, V.V., Ternyuk, N.E.: Influence of high-frequency oscillations of generating speed on the accuracy of machined gears. Theory of mechanisms and machines, no. 22, 107–112 (1977) [In Russian]
Khlus, A.A., Ternyuk, N.E.: Geometric method for gear errors calculation using arc deviations. – Theory of mechanisms and machines, no. 28 (1980) [In Russian]
Korn, G.A., Korn, T.M.: Mathematical Handbook for Scientists and Engineers. Definitions, Theorems, and Formulas for Reference and Review. Dover Publications, Inc, New York (2000) 1152 p
Krivchenko, G.I.: Study of the cutting process of cylindrical gears with spiral teeth by the radial feed method (on the example of a food separator drive). Candidate of Technical Sciences Thesis. Krasnodar (1973). [In Russian]
Litvin, F.L., Fuentes, A.: Gear Geometry and Applied Theory. Cambridge University Press, New York (2004)
Lee, T.H., Adams, G.E., Gaines, W.M.: Computer Process Control: Modeling and Optimization. Wiley (1968)
Lishinsky, L.Y.: Optimization of Cutting Mode of Machines and Automatic Lines Based on the Use of Computers. NIIMASH Publ, Moscow (1974) 135 p. [In Russian]
Lutsky, S.: Processes and Systems in Technosphere: Discrete-Probabilistic Information Systems. LAP LAMBERT Academic Publishing (2017) 108 p
Lutskyy, S.: System-information approach to uncertainty of process and system parameters. Innov. Technol. Sci. Solut. Indus. 3(17), 91–105 (2021)
Perepelitsa, B.A.: Mappings of Affine Space in the Theory of Surface Shaping by Cutting. Vysshaya Shkola Publ, Kharkov (1981) 152 p. [In Russian]
Perepelitsa, B.A.: Development of the theory of shaping and design of cutting tools based on multi-parameter mappings. Doc. Tech. Sciences Thesis. Kharkov, 387 p (1982) [In Russian]
Ponomarev, V.P.: Optimization of Machining Processes for Carburized Gears. South Ural Book Publishing House, Chelyabinsk (1974) 226 p. [In Russian]
Portman, V.T.: Universal method for calculating the accuracy of mechanical devices. Bullet. Mech. Eng. 7, 12–16 (1981) [In Russian]
Pugachev, V.S.: Probability Theory and Mathematical Statistics for Engineers. Pergamon Press (1984) 450 p
Radzevich, S.P.: Gear Cutting Tools: Science and Engineering, 2nd edn, p. 637. Taylor & Francis/CRC Press (2018)
Radzevich, S.P.: Theory of Gearing: Kinematics, Geometry, and Synthesis, 2nd edn, p. 935. Taylor & Francis/CRC Press (2018)
Rodin, P.R.: Fundamentals of Surfaces Shaping by Cutting. Vishcha Shkola Publ, Kyiv (1977) 192 p. [In Russian]
Samoilov, S.I., Syromyatnikov, I.S.: Cutting forces in shaving processing of large-module gears. Machines and tools, No. 3, 20–22 (1965) [In Russian]
Shaumyan, G.A.: Integrated Automation of Production Processes. M.: Mashinostroenie Publ (1973) 639 p. [In Russian]
Silin, S.S.: Similarity method for cutting of materials. – M.: Mashinostroenie, 19710. – 152 p. [In Russian]
Solomentsev, Y.M., Mitrofanov, V.G., Protopopov, S.P., et.al.: Adaptive controlling of technological processes (on metal-cutting machines). M.: Mashinostroenie, 536 p (1980) [In Russian]
Sukhorukov, Y.N.: Influence of dynamic factors on the accuracy and productivity of abrasive methods for gears finishing by free generating methods. In: Improving the Quality of Production and Manufacturing Technology for General Purpose Gearboxes. – Kyiv: Knowledge, pp. 23–24 (1977) [In Russian]
Sukhorukov, Y.N.: Technological bases for finishing of involute spur gears hardened to high hardness using free generating methods. Doct. Tech. Sciences Thesis. Omsk., 432 p (1972) [In Russian]
Taits, B.A., Markov, N.N.: Precision and Control of Gears. Mashinostroenie Publ (1978) 136 p. [In Russian]
Taits, B.A.: Precision and Control of Gear Wheels. Mashinostroenie Publ (1972) 367 p. [In Russian]
Ternyuk, N.E., Dudin, V.V., Khlus, A.A.: Reducing of Gear Errors at Grinding of Base Holes. UkrNIINTI, KhTSNTI, Kharkov (1974) 4 p. [In Russian]
Ternyuk, N.E.: Investigation of the main laws of accuracy management in spur gears production. Cand. Tech. Sciences Thesis. Kharkov. 184 p (1975) [In Russian]
Ternyuk, N.E., Kotlyarov, B.S., Digtenko, V.G.: Rotary schemes for gears processing. In: Improving the Reliability and Reducing the Metal Consumption of Gears and Gearboxes for General Engineering Applications: Conf. Proceedings, p. 1010, Sevastopol (1983) [In Russian]
Ternyuk, N.E., Listopad, N.F., Khlus, A.A.: Influence of MFTP system parameters on the accuracy of gears during shaving process. Theory of mechanisms and machines, no. 19, 115–120 (1975) [In Russian]
Ternyuk, N.E.: Conversion of gear errors at two- and three-tool processing methods. Theory of mechanisms and machines, no. 210 (1980). [In Russian]
Ternyuk, N.E.: Structural-parametric synthesis of automated technological systems for gears production. In: Improving the Technical Level of Gears of Energy-Saturated Tractors, pp. 54–56, Kharkov (1983) [In Russian]
Ternyuk, N.E., Khlus, A.A.: Gear and linkage mechanisms for gears tangential errors detection. In: Theory of Mechanisms and Machines, p. 171. Alma-Ata, Science Publ (1977) [In Russian]
Ternyuk, N.E.: Technological processes of gears machining. In: Encyclopedic Handbook in 40 Volumes. Vol. III-3 Manufacturing Technology of Machine Elements, pp. 809–816, Moscow (2000)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Terniuk, M.E., Kryvosheia, A.V., Krasnoshtan, A.M., Tkach, P.M., Lutskii, S.V. (2023). Gear Manufacturing Accuracy Prediction, Control, and Management. In: Novikov/Conformal Gearing. Springer, Cham. https://doi.org/10.1007/978-3-031-10019-2_10
Download citation
DOI: https://doi.org/10.1007/978-3-031-10019-2_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-10018-5
Online ISBN: 978-3-031-10019-2
eBook Packages: EngineeringEngineering (R0)