Abstract
The development and manufacturing of gear pairs is determined by a system combining the kinematic basis of the relative motions between workpiece and tool with the necessary production technology. This system unites the two subsystems of theory and technology. Via a multitude of parameters, gears can be assigned to different classes according to the range of existence. The paper describes a mathematical model for determining the range of existence for the general kinematic scheme of gear shaping. This model is based on an analysis of the existing kinematic schemes of theoretical and real shaping. Based on a morphological approach, individual kinematic shaping schemes are classified, and their mathematical models are developed. The shaping schemes, as well as the necessary translational and rotational motion matrices, are exemplarily presented for a gear manufacturing machine using the shaping principle. The modern approaches to the principles of designing equipment and instrumentation systems for gear manufacturing are presented. Methodical basics for selecting the optimal machine configuration depending on the technical and economic requirements for the machining and form of a gear’s tooth profile are stated. The system for theoretical and technological optimization synthesis of instrumentation systems for gear manufacturing is presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Anikin JV (1975) Sinusoidal engagement. Fundamentals of Geometry and Kinematics. VGU, Voronezh
Demenego A, Vecchiato D, Litvin FL, Nervegna N, Manco S (2002) Design and simulation of meshing of a cycloidal pump. Mech Mach Theory 37:311–332
Denavit J, Hartenberg RS (1955) A kinematic notation for lower-pair mechanisms based on matrices. ASME J Appl Mech 77:215–221
Erichov ML (1972) Principles of systematization, analysis methods and issue of synthesis. Dissertation, Dr. Sc. techn, Habarovsk
Granovski GI, Granovski VG (1985) Cutting of metal. Higher school, Moskow
Katsumi Nomizu (1994) Takeshi sasaki: affine differential geometry. Cambridge University Press, Cambridge, XIV
Kolchin NI (1949) Analytical calculation of plane and three-dimensional engagement. Mashgis, Moscow-Leningrad
Konovalov GG (1961) Fundamentals of new method of metal cutting. ASB, Minsk
Krivosheya AV, Petasyuk OU, Melnik VE, Korinets AV (2004) Procedure of setting and mathematical description of the initial form-generating profiles. J Superhard Mater 1:73–85
Litvin FL, Fuentes A, Gonzalez-Perez I, Carnevali L, Sep TM (2002) New version of novikov-wildhaber helical gears: computerized design, simulation of meshing and stress analysis Comput. Methods Appl Mech Eng 191:5707–5740
Litvin FL, Fuentes A (2004) Gear geometry and applied theory, 2nd edn. Cambridge University Press, Cambridge
Perepeliza BA, Kondusova EB, Filimonov EV (2002) Features of cutting tools 3D modeling on basis of space multiparameter reflection. Cutting and tool in technological systems NTU « KhPI », vol 62, pp 99–103
Radzevich SP (2007) Kinematic geometry of surface machining, CRC Press Inc, Boca Raton
Rodin PR (1981) Shaping fundamentals of surface by cutting. Vishcha Shkola, Kiev
Reshetov DN, Portman VT (1988) Accuracy of machine tools. New York, ASME-Press, p 304
Sheveleva GI (1999) Shaping and contact theory of moving bodies. “Stanki”, Moscow
Vulgakov EB, Dorofeev VL (2002) Computer design of involute gearing by generalizing parameters. Convers Manuf 6:148–154
Wildenhof P (2007) Voraussetzungen und Möglichkeiten für die Realisierung einer Gleitflächenverzahnung. Konstruktion 59(9):107–113
Danilchenko Yu M, Krivosheya AV, Karska AA, Storchak MG, Pasternak SI (2011) Initial generation of machine tools coordinate codes modern technology in mechanical engineering, vol. 6, Kharkov: NTU “HPI”, pp 23–28
Heisel U, Pasternak S, Storchak M, Schaal M, Danilchenko Yu (2010) Modellieren des Verzahnens mit Scheibenwerkzeugen ZWF Zeitschrift für wirtschaftlichen Fabrikbetrieb. Nr. 7–8:649–654
Averjanov OI (1987) The modular principle of machine tools with CNC building. Machine building, Moscow, 232 p
Dayhoff J (1990) Neural networks. Van Nostrand Reihold, New York
Inasaki I, Kishinami K, Sakamoto S, Takeuchi Y, Tanaka F (1997) Shape generation theory of machine tools. Yokendo Press
Ito Y (2008) Modular design for machine tools. McGraw Hill, New York, 504 p
Ito Y, Shinno H (1990) Structural description of machine tools. Trans JSME Ser C 46(405):562–571
Iwata K, Sugimura N, Peng L (1990) A study of the fundamental design of machine structure for machining. Trans JSME Ser C 56(523):803–809
Jain AK, Mao J, Mohiuddin KM (1996) Artificial neural networks: a tutorial. Computer 29(3):31–44
Kudinov AV (2001) Features of neural network modeling tools. Machine and Tool 1, pp 13–18
Medvedev VS, Potemkin VG (2002) Neural networks. MATLAB 6. DIALOG, Moscow, 496 p
Moriwaki T (2008) Multi-functional machine tool. Annals of the CIRP 57(1):736–749
Moriwaki T, Nunobiki M (1992) Object-oriented design support system for machine tools. Trans JSME Ser C 58(546):655–660
Portman V, Inasaki I, Sakakura M, Iwatate M (1998) Form-shaping system of machine tools: theory and applications. Annals of the CIRP 47(1):329–332
Patan K (2008) Artificial neural networks for the modeling and fault diagnosis of technical processes. Springer, Berlin, Heidelberg, 206 p
Rey GD, Wender KF (2011) Neuronale Netze: Eine Einführung in die Grundlagen, Anwendungen und Datenauswertung. 2. Auflage, Huber, Bern, 205 S
Rutkowskaja D, Pilinskij M, Rutkowskaja L (2006) Neural networks, genetic algorithms and fuzzy systems. Telekom, Moscow, 452 p
Shinno H, Ito Y (1987) Computer aided concept design for structural configuration of machine tools: variant design using directed graph. Trans ASME J Mech Trans Autom Des 109:372–376
Spicer P, Koren Y, Shpitalni M, Yip-Hoi D (2002) Design principles for machining system configurations. Annals CIRP 51(1):275–280
Vragov Yu D (1978) Analysis of machine tools configurations. (Fundamentals of componetik). Machine building, Moscow, 208 p
Weck M, Brecher C (2006) Werkzeugmaschinen. In 6 Bänder, Springer, Berlin Heidelberg
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Krivosheya, A., Danilchenko, J., Storchak, M., Pasternak, S. (2016). Design of Shaping Machine and Tooling Systems for Gear Manufacturing. In: Goldfarb, V., Barmina, N. (eds) Theory and Practice of Gearing and Transmissions. Mechanisms and Machine Science, vol 34. Springer, Cham. https://doi.org/10.1007/978-3-319-19740-1_21
Download citation
DOI: https://doi.org/10.1007/978-3-319-19740-1_21
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19739-5
Online ISBN: 978-3-319-19740-1
eBook Packages: EngineeringEngineering (R0)