NASA RP–1406 108
Korn, G.A., and Korn, T.M., 1968, Mathematical Handbook for Scientists and Engineers, 2nd ed., McGraw-Hill, New York.
Korostelev, L.V., 1970, Instantaneous Gear Ratio in 3D-Space Gearings, Theory of Gear Drives in Machines, Mashinostroenie, Moscow,
pp. 39–40 (in Russian).
Kovtushenko, A.A., Lagutin, S.A., and Yatsin, Yu.L., 1994, “Worm Gearing in the Drives of Metallurgical Equipment,” Journal of
Machinery Manufacture and Reliability, No. 5, pp. 34–39.
Krenzer, T.J., 1981, Tooth Contact Analysis of Spiral Bevel and Hypoid Gears Under Load, The Gleason Works, Rochester, New York.
Kudriavtsev, V.N., Kuzmin, I.S., and Filipenkov, A.L., 1993, Design and Computation of Gear Reducers, St. Peterburg Polytechnic
Institute (in Russian).
Lagutin, S.A., 1987, “Meshing Space and its Elements,” Soviet Machine Science, No. 4, pp. 63–68.
Litvin, F.L., 1952, “Toward the Investigation of Spatial Gearing with Line Contact of Surfaces,” Proceedings of Seminar of Machine and
Mechanism Theory, Vol. 49 (in Russian).
Litvin, F.L., and Guo, K., 1962, “Investigation of Meshing of Bevel Gear with Tapered Teeth,” Theory of Machines and Mechanisms,
Vols. 92 and 93 (in Russian).
Litvin, F.L., 1968, Theory of Gearing, 2nd ed. Nauka, Moscow (in Russian).
Litvin, F.L., 1969, “Die Beziehungen Zwischen den Krümmungen der Zahnoberflächen bei Räumlichen Verzahnungen,” Zeitschrift für
Angewandte Mathematik und Mechanik, Vol. 49, pp. 685–690 (in German).
Litvin, F.L., 1975, “Determination of Envelope of Characteristics of Mutually Enveloping Surfaces,” Mathematics, No. 10(161),
pp. 47–50 (in Russian).
Litvin, F.L., Krylov, N.N., and Erikhov, M.L., 1975, “Generation of Tooth Surfaces by Two-Parameter Enveloping,” Mechanism and
Machine Theory, Vol. 10, No. 5, pp. 365–373.
Litvin, F.L., and Gutman, Y., 1981, “Methods of Synthesis and Analysis for Hypoid Gear-Drives of ‘Formate’ and ‘Helixform’,” Journal
of Mechanical Design, Transactions of the American Society of Mechanical Engineers, Vol. 103, pp. 83–113.
Litvin, F.L., 1989, Theory of Gearing, NASA RP–1212.
Litvin, F.L., and Kin, V., 1992, “Computerized Simulation of Meshing and Bearing Contact for Single-Enveloping Worm-Gear Drives,”
Journal of Mechanical Design, Transactions of the American Society of Mechanical Engineers, Vol. 114, pp. 313–316.
Litvin, F.L., and Hsiao, C.-L., 1993, “Computerized Simulation of Meshing and Contact of Enveloping Gear Tooth Surfaces,” Computer
Methods in Applied Mechanics and Engineering, Vol. 102, pp. 337–366.
Litvin, F.L., 1994, Gear Geometry and Applied Theory, Prentice Hall, Englewood Cliffs, NJ.
Litvin, F.L., Chen, N.X., and Chen, J.-S., 1995, “Computerized Determination of Curvature Relations and Contact Ellipse for Conjugate
Surfaces,” Computer Methods in Applied Mechanics and Engineering, Vol. 125, pp. 151–170.
Litvin, F.L., et al., 1995, “Computerized Design and Generation of Low-Noise Helical Gears with Modified Surface Topology,” Journal
of Mechanical Design, Transactions of the American Society of Mechanical Engineers, Vol. 117, No. 2, June, pp. 254–261.
Litvin, F.L., and Lu, J., 1995, “Computerized Design and Generation of Double Circular-Arc Helical Gears With Low Transmission
Errors,” Computer Methods in Applied Mechanics and Engineering, Vol. 127, Nos. 1–4, pp. 57–86.
Litvin, F.L., et al., 1996a, “Application of Finite Element Analysis for Determination of Load Share, Real Contact Ratio, Precision of
Motion, and Stress Analysis,” Journal of Mechanical Design, Transactions of the American Society of Mechanical Engineers,
Vol. 118, No. 4, pp. 561–567.
Litvin, F.L., et al. 1996b, “Kinematic and Geometric Models of Gear Drives,” Journal of Mechanical Design, Transactions of the American
Society of Mechanical Engineers, Vol. 118, No. 4, pp. 544–550.
Litvin, F.L., and Feng, P.-H., 1996, “Computerized Design and Generation of Cycloidal Gearings,” Mechanism and Machine Theory,
Vol. 31, No. 7, pp. 891–991.
Litvin, F.L., and Seol, I.H., 1996, “Computerized Determination of Gear Tooth Surface as Envelope to Two Parameter Family of Surfaces,”
Computer Methods in Applied Mechanics Engineering, Vol. 138, Nos. 1–4, pp. 213–225.
Litvin, F.L., Wang, A., and Handschuh, R.F., 1996, “Computerized Design and Analysis of Face-Milled, Uniform Tooth Height Spiral
Bevel Gear Drives,” Journal of Mechanical Design, Transactions of the American Society of Mechanical Engineers, Vol. 118,
No. 4, pp. 573–579.
Litvin, F.L., and Feng, P.-H., 1997, “Computerized Design, Generation, and Simulation of Meshing of Rotors of Screw Compressor,”
Mechanism and Machine Theory, Vol. 32, No. 2, pp. 137–160.
Litvin, F.L., and Kim, D.H., 1997, “Computerized Design, Generation and Simulation of Meshing of Modified Involute Spur Gear With
Localized Bearing Contact and Reduced Level of Transmission Errors,” Journal of Mechanical Design, Transactions of the American
Society of Mechanical Engineers, Vol. 119, pp. 96–100.
Merkin, D.R., 1962, Algebra of Free and Sliding Vectors, Fizmatgis (in Russian).
Merrit, H.E., 1971, Gear Engineering, John Wiley & Sons, New York.
Michalec, G.W., 1966, Precision Gearing: Theory and Practice, John Wiley & Sons, New York.
Moré, J.J., Garbow, B.S., and Hilstorm, K.E., 1980, User Guide for MINPACK-1, Argonne National Laboratory, Argonne, Illinois.
Novikov, M.L., 1956, U.S.S.R. Patent No. 109.750.
Niemann, G., and Heyer, E., 1953, “Untersuchungen an Schneckengetrieben,” VDI, Vol. 95, No. 6, pp. 141–157.
Olivier, T., 1842, Theorie Geometrique des Engrenages, Bachelier, Paris.
Päch-Franke, S., 1990, Ein Leben für die Technik, Lorenz Co.
Pasternak, B.L., 1960, The Poetry of Boris Pasternak, 1914-1960, Putnam’s Sons, Inc., New York.
Pluecker, J., 1865 “On a New Geometry of Space,” Philosophical Transactions of the Royal Society, Vol. 155, pp. 725–791.
Pushkin, A.S., 1953, Boris Godunov, Columbia University Press, New York.
Saari, O.E., 1954, Speed-Reduction Gearing, U.S. Patent No. 2,696,125.
Saari, O.E., 1960, Skew Axis Gearing, U.S. Patent No. 2,954,704.
Saari, O.E., 1972, Gear Tooth Form, U.S. Patent No. 3,631,736.
Seherr-Thoss, H.-Chr. Graf v., 1965, Die Entwicklung der Zahnrad-Technik, Springer-Verlag, New York.