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Cylindrical Gear Metrology

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Metrology

Part of the book series: Precision Manufacturing ((PRECISION))

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Abstract

This chapter presents the basic principles and techniques for measuring the geometrical features of cylindrical gears. The mathematical models for nominal cylindrical gear geometry are given in a two-dimensional (2D) space and extended to a three-dimensional (3D) space. The geometric parameters for assessing the conformance of gear design and manufacturing are highlighted based on the current international standards. Conventional gear inspections by tactile measuring systems such as gear-measuring instruments (GMIs) and coordinate measuring machines (CMMs) are discussed in detail, including measuring strategies and evaluations of “raw” spatial data sets, methods of calibrating gear-measuring systems, and the estimation of measurement uncertainty. Emerging technologies including optical measuring systems and areal evaluation methods are introduced as part of future cylindrical gear metrology.

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References

  • Auerswald M, Freyberg A, Fischer A (2017) Optical sensor system for 3D measurements on large gears. In: Proceedings of AMA conferences – SENSOR, pp 227–232

    Google Scholar 

  • Balzer F, Schäfer M, Lindner I, Günther A, Stöbener D, Westerkamp J (2015) Recent advances in optical gear measurements. In: Proceedings of international conference on gears, 11 pp

    Google Scholar 

  • Balzer F, Steffens N, Stein M, Kniel K (2017) Traceable measurement of large gears with micron accuracy. In: Proceedings of 59th Ilmenau Scientific Colloquium, urn: nbn:de: gbv: ilm1-2017iwk-139:9, 16 pp

    Google Scholar 

  • BIPM (2008) Evaluation of measurement data – guide to the expression of uncertainty in measurement. International Organization for Standardization, Genève

    Google Scholar 

  • Bosch T, Lescure M, Roviras D (1992) The physical principles of wavelength-shift interferometric laser rangefinders (in French). J Opt 23(3):117–123

    Article  Google Scholar 

  • Bouzakis K, Lili E, Michailidis N, Friderikos O (2008) Manufacturing of cylindrical gears by generating cutting processes: a critical synthesis of analysis methods. CIRP Ann Manuf Technol 57(2):676–696

    Article  Google Scholar 

  • Fang S, Wang L, Liu S, Komori M, Kubo A (2011) Positioning the actual interference fringe pattern on the tooth flank in measuring gear tooth flanks by laser interferometry. Opt Eng 50(5):055601, 6 pp

    Article  Google Scholar 

  • Fang S, Zhu X, Yang P, Cai Q, Komori M, Kubo A (2014) Analysis and compensation method for installation error in measuring gear tooth flank with laser interferometry. Opt Eng 53(8):084111, 9 pp

    Article  Google Scholar 

  • Farago F, Curtis M (1994) Handbook of dimensional measurement. Industrial Press Inc, New York

    Google Scholar 

  • Goch G (2003) Gear metrology. CIRP Ann Manuf Technol 52(2):659–695

    Article  Google Scholar 

  • Goch G, Ni K, Peng Y, Guenther A (2017a) Future gear metrology based on areal measurements and improved holistic evaluations. CIRP Ann Manuf Technol 66(1):469–474

    Article  Google Scholar 

  • Goch G, Ni K, Peng Y, Guenther A (2017b) Paradigm change in cylindrical gear metrology using areal measurement and evaluation. In: International conference on gears, Garching

    Google Scholar 

  • Goch G, Ni K, Peng Y, Guenther A (2017c) Paradigm change in gear inspection based on a holistic description, measurement and evaluation of gear flanks. In: 32nd ASPE annual meeting, American Society for Precision Engineering, Charlotte

    Google Scholar 

  • Goch G, Peng Y, Ni K, Guenther A (2017d) Optical and areal measurement and evaluations of cylindrical gears. In: 17th international VDI congress, Bonn

    Google Scholar 

  • Gravel G (2014) Simulation as support of the analysis of waviness. VDI reports 2236. VDI Verlag, Düsseldorf, pp 69–80

    Google Scholar 

  • Gravel G, Kahnenbley T (2017) New developments for the waviness analysis of acoustically conspicuous gears. VDI reports 2316. VDI Verlag, Düsseldorf, pp 43–54

    Google Scholar 

  • Günther A (1996) Flächenhafte Beschreibung und Ausrichtung von Zylinderrädern mit Evolventenprofil, Diploma Thesis, Ulm University

    Google Scholar 

  • Günther A, Peters J, Goch G (2009) Flächenhafte numerische Beschreibung, Ausrichtung und Auswertung von Zylinderrädern (3D-Surface-like Numerical Description, Alignment, and Evaluation of Involute Cylindrical Gears). tm – Technisches Messen Plattform für Methoden, Systeme und Anwendungen der Messtechnik. 68(4/2001)

    Google Scholar 

  • Günther A, Balzer F, Lindner I, Stöbener D, Westerkamp J, Goch G (2014) Application of coordinate measuring devices for large gearings (in German). VDI reports 2243. VDI Verlag, Düsseldorf, pp 139–154

    Google Scholar 

  • Härtig F (2005) New developments on gear metrology. In: Third tri-national conference of the North American Coordinate Metrology Association (presentation)

    Google Scholar 

  • Härtig F, Rost K, Goch G (2010) Large gear material standard for the traceability of gears for transmission manufacturing. VDI reports 2108. VDI Verlag, Düsseldorf, pp 991–1004

    Google Scholar 

  • Härtig F, Franke M, Kniel K, Wendt K (2011) Coordinate measurement technique considering the 3D-Abbe principle. In: Proceedings of 10th IMEKO symposium on laser metrology for precision measurement and inspection in industry, Braunschweig, 12 pp

    Google Scholar 

  • Härtig F, Lin H, Kniel K, Shi Z (2013) Laser tracker performance quantification for the measurement of involute profile and helix measurements. Measurement 46:2837–2844

    Article  Google Scholar 

  • Hu L, Zi X, Yang G (2015) Correction of Abbe error in involute gear measurement using a laser interferometric system. In: Proceedings of SPIE 9671, 96711N

    Google Scholar 

  • ISO 10360 (2000 to 2016) Geometrical product specifications (GPS) – acceptance and reverification tests for coordinate measuring machines (CMM). Part 1 to 10 and 12, 2000 to 2016

    Google Scholar 

  • ISO 1328-1 (2013, 1997) Cylindrical gears – ISO system of accuracy. Part 1, 2013, Part 2, 1997

    Google Scholar 

  • ISO 18653 (2003) Gears – evaluation of instruments for the measurement of individual gears

    Google Scholar 

  • ISO 21771 (2007) Gears – cylindrical involute gears and gear pairs – concepts and geometry

    Google Scholar 

  • lSO/TR 10064 (1992 to 1998) Cylindrical gears – code of inspection practice. Part 1 to 5, 1992-03 to 1998-05

    Google Scholar 

  • Jukl P (2014) Point clouds of gearings (in German). VDI reports 2236. VDI Verlag, Düsseldorf, pp 105–121

    Google Scholar 

  • Karpuschewski B, Knoche H, Hipke M (2008) Gear finishing by abrasive processes. CIRP Ann Manuf Technol 57(2):621–640

    Article  Google Scholar 

  • Keller F, Stein M, Kniel K (2017) A shortened rosette method for the calibration of pitch deviations (in German). VDI reports 2316. VDI Verlag, Düsseldorf, pp 65–76

    Google Scholar 

  • Kniel K, Härtig F (2014) National and international intercomparisons of gear measurements (in German). VDI reports 2236. VDI Verlag, Düsseldorf, pp 175–186

    Google Scholar 

  • Kniel K, Härtig F, Osawa S, Sato O (2009) Two highly accurate methods for pitch calibration. Meas Sci Technol 20(11):115110

    Article  Google Scholar 

  • Kondo Y, Sasajima K, Noguchi S, Kondo K, Osawa S, Naoi K, Takatsuji T (2008) Tooth form evaluation using ball artifact – development of a measuring instrument of a ball center distance traceable to national standard of length. Key Eng Mater 381–382:595–598

    Article  Google Scholar 

  • Lanza G, Viering B (2011) A novel standard for the experimental estimation of the uncertainty of measurement for micro gear measurements. CIRP Ann Manuf Technol 60:543–546

    Article  Google Scholar 

  • Lotze W, Haertig F (2001) 3D gear measurement by CMM. Laser Met Mach Perform 34:333–344

    Google Scholar 

  • Matthias S, Loderer A, Koch S, Gröne M, Kästner M, Hübner S, Krimm R, Reithmeier E, Hausotte T, Behrens BA (2016) Metrological solutions for an adapted inspection of parts and tools of a sheet-bulk metal forming process. Prod Eng Res Dev 10:51–61

    Article  Google Scholar 

  • Meeß K, Kästner M, Seewig J (2006) Reduction and evaluation of the uncertainty of measurement of optical gear measurement using Fringe projection (in German). Tech Mess 73(11):603–610

    Article  Google Scholar 

  • Ni K (2017) Areal gear metrology with modified flanks. Dissertation, University of North Carolina at Charlotte

    Google Scholar 

  • Ni K, Peng Y, Goch G (2016) Characterization and evaluation of involute gear flank data using an areal model. In: 31st ASPE annual meeting, American Society for Precision Engineering, Portland, pp 184–189

    Google Scholar 

  • Noch R, Steiner O (1966) Die Bestimmung von Kreisteilungsfehlern nach einem Rosettenverfahren. Zeitschrift für Instrumentenkunde, Braunschweig

    Google Scholar 

  • Peng Y, Ni K, Goch G (2017) Areal evaluation of involute gear flanks with three-dimensional surface data. AGMA, Fall technical meeting, October 22–24, 2017, Columbus, OH

    Google Scholar 

  • Pfeifer T, Kurokawa S, Meyer S (2001) Derivation of parameters of global form deviations for 3-dimensional surfaces in actual manufacturing processes. Measurement 29:179–200

    Article  Google Scholar 

  • Pfeifer T, Napierala A, Mandt D (2002) Functional-orientated evaluation of modified tooth flanks. VDI reports 1665. VDI Verlag, Düsseldorf, pp 769–783

    Google Scholar 

  • Rost K (2017) Ermittlung einer aufgabensp ezifischen Messunsicherheit für Verzahnungsmessungen. Dissertation, University of Bremen

    Google Scholar 

  • Rost K, Wendt K, Härtig F (2016) Evaluating a task-specific measurement uncertainty for gear measuring instruments via Monte Carlo simulation. Precis Eng 44:220–230

    Article  Google Scholar 

  • Schwenke H, Siebert B, Wäldele F, Kunzmann H (2000) Assessment of uncertainties in dimensional metrology by Monte Carlo simulation: proposal of a modular and visual software. Ann CIRP 49(I):395–398

    Article  Google Scholar 

  • Stöbener D, Freyberg A, Fuhrmann M, Goch G (2012) Areal parameters for the characterisation of gear distortions. Mater Werkst 43(1–2):120–124

    Article  Google Scholar 

  • Takatsuji T, Kondo K, Kubo A, Härtig F, Osawa S, Naoi K, Kurosawa T, Komori M (2005) Performance assessment of involute gear measurement by CMM using a double-ball artifact. In: Proceedings of SPIE 5879 recent developments in traceable dimensional measurements III, 58790Q

    Google Scholar 

  • Takeoka F, Komori M, Takahashi M, Kubo A, Takatsuji T, Osawa S, Sato O (2009) Gear checker analysis and evaluation using a virtual gear checker. Meas Sci Technol 20:045104, 11 pp

    Article  Google Scholar 

  • VDI/VDE 2612 (2000) Profile and helix checking of involute cylindrical gears. Beuth, Berlin

    Google Scholar 

  • VDI/VDE 2613 (2003) Pitch and runout testing on gearings – cylindrical gears, worm wheels, bevel gears

    Google Scholar 

  • Wäldele F, Schwenke H (2001) Determination of the measurement uncertainty by simulation – the virtual CMM (in German). VDI reports 1618. VDI Verlag, Düsseldorf, pp 103–114

    Google Scholar 

  • Wäldele F, Schwenke H (2002) Automated calculation of measurement uncertainties on CMMs – towards industrial application (in German). Tech Mess 69(12):550–557

    Google Scholar 

  • Wang L, Fang S, Yang P, Meng L (2015) Comparison of three methods for identifying fringe regions of interference fringe patterns in measuring gear tooth flanks by laser interferometry. Optik 126(24):5668–5671

    Article  Google Scholar 

  • Weckenmann A, Wiedenhöfer T, Büttgenbach S, Krah T, Fleischer J, Buchholz I, Viering B, Kranzmann A, Ritter M, Krüger-Sehm R, Bakucz P, Schmitt R, Körfer F (2008) Trends in development of standards for micro- and nanometrology: chances and challenges (in German). Tech Mess 75(5):288–297

    Google Scholar 

  • Wedmann A, Kniel K, Dunovska V, Härtig F, Klemm M (2014) Tracing of micro gear measurements (in German). VDI reports 2236. VDI Verlag, Düsseldorf, pp 199–212

    Google Scholar 

  • Wendt K, Franke M, Härtig F (2010) Mobile multi-lateration measuring system for high accurate and traceable 3D measurement of large objects. In: Proceedings of the 10th ISMQC, pp 224–227

    Google Scholar 

  • Wendt K, Franke M, Härtig F (2012) Measuring large 3D structures using four portable tracking laser interferometers. Measurement 45:2339–2345

    Article  Google Scholar 

  • Wiemann A, Stein M, Kniel K (2017) Traceability of gear measurements for large gear boxes (in German). VDI reports 2316. VDI Verlag, Düsseldorf, pp 205–216

    Google Scholar 

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Author information

Authors and Affiliations

  1. Center for Precision Metrology, University of North Carolina at Charlotte, Charlotte, NC, USA

    Kang Ni, Yue Peng & Gert Goch

  2. Bremen Institute for Measurement, Automation and Quality Science (BIMAQ), University of Bremen, Bremen, Germany

    Dirk Stöbener

  3. Research and Development, The Timken Company, North Canton, OH, USA

    Kang Ni

Authors
  1. Kang Ni
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  2. Yue Peng
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  3. Dirk Stöbener
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  4. Gert Goch
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Corresponding author

Correspondence to Kang Ni .

Editor information

Editors and Affiliations

  1. Tohoku University Department of Finemechanics, Sendai, Miyagi, Japan

    Wei Gao

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Ni, K., Peng, Y., Stöbener, D., Goch, G. (2019). Cylindrical Gear Metrology. In: Gao, W. (eds) Metrology. Precision Manufacturing. Springer, Singapore. https://doi.org/10.1007/978-981-10-4938-5_9

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