Prof. F.L. Litvin: Contribution to the Formation of the Russian School of the Theory of Gearing

Abstract

A brief overview of selected scientific works by Prof. F.L. Litvin performed up to 1980 is presented. His role in the development of the Russian school of the theory of gearing is shown.

Appendix

Full List of Scientific Publications and Inventions of Professor, Doctor of Technical Sciences F.L. Litvin for the Period of 1939–1978

Publications

• 1. Basic statements of shaving process. Proc. of Committee on tooth-cutting engineering. VNITOMASH-LONITOMASH, N1, 1939 (in Russian).

• 2. To calculation of rectilinear guidance mechanism of the type of Evans mechanism. ‘‘Journal of Engineers and Technicians’’, N9, 1939 (in Russian).

• 3. Influence of eccentricity of spur pinions of involute profile on reading accuracy gears. Jnl. ‘‘Optical and Mechanical Industry’’, N4, 1940 (in Russian).

• 4. Control of spur pinions by means of wires. Jnl. ‘‘Optical and Mechanical Industry’’, N6, 1941 (in Russian).

• 5. Spur and helical involute pinions with crossed axes; influence of errors on accuracy of operation. PhD thesis, maintained in Tomsk polytechnic institute in 1944 (in Russian).

• 6. Crossed helical gears. Proc. ‘‘Gearing’’, N1, Mashgiz, L., 1946. (Awarded by LONITOMASH as the best scientific research work) (in Russian).

• 7. Main problems of the theory of non-circular gearwheels. In Proc. of LONITOMASH, N6 ‘‘Theory and Analysis of Gearwheels’’, Mashgiz, L.,1949 (in Russian).

• 8. Some problems of the theory of gearing for non-circular spur and helical gearwheels. ‘‘Proceedings of Seminar on Machine and Mechanism Theory’’, N29, USSR AS, 1949 (in Russian).

• 9. Non-circular gearwheels (monograph, the first edition). Mashgiz, 1950 (in Russian).

• 10. Basic theorems of planar gearing and their application to profiling the flat gearing. ‘‘Proceedings of LPI’’, N7, Mashgiz, 1950 (in Russian)

• 11. Non-circular gearwheels for fluid meter. ‘‘Journal of Engineers and Technicians’’, N3, 1950 (in Russian).

• 12. To the question of noncircular gearwheel tooth cutting by generating method ‘‘Proceedings of Seminar on Machine and Mechanism Theory’’. N 34, USSR AS, 1950 (in Russian).

• 13. Determination of tooth thickness of worms and helical gearwheels by rollers and balls. ‘‘Proceedings of Seminar on Machine and Mechanism Theory’’, N39, USSR AS, 1951 (in Russian).

• 14. Application of bevel gearing analytical theory to determination of tooth thickness of straight bevel gearwheels by balls. ‘‘Proceedings of Seminar on Machine and Mechanism Theory’’, N44, USSR AS, 1952 (in Russian).

• 15. Calculation methods in production and control of gear parts (coauthor: N.I. Kolchin), Mashgiz, 1952 (in Russian).

• 16. Cutting non-circular gearwheels by division method. ‘‘Report of technical information’’ N1, Glavpribor, 1952 (in Russian).

• 17. Toward the Investigation of Spatial Gearing with Line Contact of Surfaces. ‘‘Proceedings of Seminar on Machine and Mechanism Theory’’, Vol. 49, USSR AS, 1953 (in Russian)

• 18. Tool profiling for helical surface machining according to pitch. ‘‘Proceedings of LPI’’, N4, 1953 (in Russian).

• 19. Improvement of gear hobbing machine for cutting gearwheels (coauthor: G.G. Pavlov). ‘‘Machines and tools’’, N4, 1953 (in Russian).

• 20. Theory of gearing, design and production of non-circular gearwheels. ‘‘Gears in Mechanical Engineering. Proceedings of the first Moscow conference on gears in mechanical engineering’’, USSR AS, 1953 (in Russian).

• 21. Adjustment of stroke, force calculation and balancing of a piston machine (coauthors: N.I. Kolchin, A.A. Valkovskiy). Study guide. LPI Publ., 1954 (in Russian).

• 22. Production of multi-thread worm gears with new geometry (coauthors: S.G. Printsental, G.F. Shigorin). Mashgiz, 1953 (in Russian).

• 23. Theory and methods of production of gears with variable gear ratio (Doctor of technical sciences thesis, maintained in Leningrad polytechnic institute in 1954), (in Russian).

• 24. Device for cutting non-circular gearwheels (coauthor: G.G. Pavlov). ‘‘Machines and tools’’, N2, 1954 (in Russian).

• 25. Analytical method of investigating the worm gearing with variable gear ratio and variable center distance. ‘‘Proceedings of LPI’’, N3, 1954 (in Russian).

• 26. Analysis of cylindrical screw manifolds (coauthor: D.L. Faynshtein). ‘‘Machines and tools’’, N7, 1955 (in Russian).

• 27. Designing non-circular gearwheels, applied in mechanical engineering. ‘‘Proceedings of IMASH. Seminar on TMM’’, N55, USSR AS, 1954 (in Russian).

• 28. Application of matrices and theory of screws to investigation of spatial gearing. ‘‘Proceedings of LPI’’, N182, 1955 (in Russian).

• 29. Reproducing the function of one independent variable by a simple row of non-circular gearwheels. ‘‘Proceedings of LPI’’, N182, 1955 (in Russian).

• 30. Non-circular gears: design, theory of gearing and manufacture, 2nd ed, Mashgiz, 1956. 320p. (in Russian).

• 31. Non-circular gears. ‘‘Machines and tools’’, N9, 1956 (in Russian).

• 32. Addendum correction of spur gears and drawing of their meshing (coauthor: N.I. Kolchin). Study guide. LPI Publ., 1957 (in Russian).

• 33. On design and cutting teeth of multithread non-circular gearwheels (coauthor: N.S. Yablonskiy). ‘‘Priborostroeniye’’, N6, 1957 (in Russian).

• 34. To investigation of steady motion of machine aggregate with elastic driving shaft for forces dependent on velocity and position of links. ‘‘Proceedings of IMASH. Seminar on TMM’’, N68, USSR AS, 1958 (in Russian).

• 35. Simplified method of determining the contact lines and contact area of a worm gearing with a cylindrical worm. ‘‘Vestnik mashinostroyeniya’’, N2, 1959 (in Russian).

• 36. To calculation of a functional shunted potentiometer (coauthor: S.G. Kislitsin). ‘‘Automatics and telemechanics’’, N11, 1959 (in Russian).

• 37. Simplified method of determining the position of a ball or roller in the root of a screw or worm. ‘‘Izvestiya Vuzov. Mashinostroyeniye’’, N1, 1960 (in Russian).

• 38. Simplified method of investigating the worm gearing with a cylindrical worm. ‘‘Proceedings of the 2nd All-Union Conference on main problems of TMM’’, USSR AS, 1960 (in Russian).

• 39. Problems of geometry and manufacture of worm gears with the increased load-carrying capacity (coauthor: I.K. Koryshev). ‘‘Proceedings of the conference on technique of gears’’, Mashgiz, 1960 (in Russian).

• 40. Analytical methods of spatial gearing investigation. ‘‘Proceedings of IMASH. Seminar on TMM’’, N84, USSR AS, 1961 (in Russian).

• 41. Engagement of bevel gears with epi- hypotrochoid longitudinal profile (coauthor: N.B. Firun). ‘‘Proceedings of IMASH. Seminar on TMM’’, N86, USSR AS, 1961 (in Russian).

• 42. Theory of gearing (monograph, the 1st ed.) FIZMATGIZ, 1960 (in Russian).

• 43. Grinding method and geometry of thread surfaces of cylindrical worms with concave profile. ‘‘Izvestiya OTN USSR AS. Mechanics and mechanical engineering’’, N4, 1961 (in Russian).

• 44. Dynamic balancing of rotors (coauthors: S.G. Smirnov, N.F. Utekhin). LPI Publ., 1961 (in Russian).

• 45. Geometry of worm gear drives with cylindrical worms with concave profile, ground by a toroidal wheel. ‘‘Proceedings of Odessa conference’’, Mashgiz, 1961 (in Russian).

• 46. Geometry of surfaces and efficiency of screw pairs with rolling friction (coauthor: B.A. Konstantinov). ‘‘Machines and tools’’, N7, 1962 (in Russian).

• 47. Geometrical investigation of a variety of Novikov gearing. ‘‘Proceedings of mechanical institute’’, N24, 1962 (in Russian).

• 48. Undercutting of bevel gearwheels with circular teeth (coauthor: Guo-Kai). ‘‘Machines and tools’’, N11, 1962 (in Russian).

• 49. New types of worm gear drives with cylindrical worms (monograph). Mashgiz, 1962 (in Russian).

• 50. Investigation of meshing of bevel gears with tapered teeth. ‘‘Theory of machines and mechanisms’’ (coauthor: Guo-Kai). ‘‘Theory of machines and mechanisms’’, N92-93, USSR AS, 1962 (in Russian).

• 51. Method of determination of contact lines and limiting points of tooth flanks of a spatial gearing mechanism. ‘‘Izvestiya OTN USSR AS. Mechanics and mechanical engineering’’, N6, 1962 (in Russian).

• 52. Matrix method of determination of relation between curvatures of tooth flanks in a gearing (coauthor: Chzhan Tsy-syan). ‘‘Izvestiya OTN USSR AS. Mechanics and mechanical engineering’’, N3, 1963 (in Russian).

• 53. Tooth undercutting of planar and spatial gearing. ‘‘Proceedings of the 3rd all-Russian meeting on TMM’’, Vol. 4, Mashgiz, 1963 (in Russian).

• 54. Improvement of engagement conditions of bevel gearwheels with arch teeth (coauthor: Guo-Kai). ‘‘Proceedings of Seminar on Machine and Mechanism Theory’’, N98-99, USSR AS, 1963 (in Russian).

• 55. Investigation of engagement conditions in vicinity of the tooth flanks contact point. ‘‘Proceedings of Seminar on Machine and Mechanism Theory’’, N100, USSR AS, 1963 (in Russian).

• 56. Position function and transmission ratio of the driving arm mechanism. ‘‘Analysis and Synthesis of Mechanisms and Gear Theory’’, Nauka, 1965 (in Russian).

• 57. Application of the kinematic method to determine the relation between curvatures of mutually enveloping surfaces, and conditions for the absence of teeth undercutting.. ‘‘Proceedings of Seminar on Machine and Mechanism Theory’’, N103, USSR AS, 1964 (in Russian).

• 58. Main problems of the theory of spatial gearing and methods of their solution. Proceedings of Miskolc-Universitat, Hungary, 1964 (in Hungarian).

• 59. Geometry and methods of manufacture of worm gear drives with concave worm profile. Proceedings of Miskolc-Universitat, Hungary, 1964 (in Hungarian).

• 60. Reference book of designer of precision instrument industry. (Chief editing and author of several sections). ‘‘Mashinostroyeniye’’, 1964 (in Russian).

• 61. Functional cam mechanisms (monograph). Publ. house of Leningrad institute of precise mechanics and optics, 1965 (in Russian).

• 62. Synthesis of approximated bevel and hypoid gearing with improved parameters. ‘‘Analysis and synthesis of mechanisms and theory of gearing’’, M. Nauka, 1965 (in Russian).

• 63. Determination of initial parameters, their correction when cutting bevel gearwheels (coauthor: A.A. Zaostrovskiy). ‘‘Theory of gears in machines’’, Mashinostroyeniye, 1966 (in Russian).

• 64. Helical gearwheels with new geometry, providing the increased load-carrying capacity (coauthor: V.V. Schultz). ‘‘Theory of gears in machines’’, Mashinostroenie, 1966 (in Russian).

• 65. Improving the engagement conditions in Helixform hypoid gears (coauthor: Yu.I. Shurygin). ‘‘Theory of gears in machines’’, Mashinostroenie, 1966 (in Russian).

• 66. Determination of the error of the dividing circuit for tooth hobbing machines by electro-magnetic method and error influence on the accuracy of gearwheels to be cut (coauthor: N.G. Lindtrop). ‘‘Proc. of technical economic conference of Neva plant n.a. Lenin’’, Mashinostroyeniye, 1966 (in Russian).

• 67. Determination of main parameters of gearwheels of Helixform bevel gears with helicoid tooth surface (coauthor: B.D. Zilberman). ‘‘Mechanics of machines’’, N1-2, Nauka, 1966 (in Russian).

• 68. Application of kinematic method to determine curvatures and conditions of undercutting elimination for the envelope of two-parameter set of tool surfaces (coauthor: M.L. Erikhov). ‘‘Mechanics of machines’’, N3-4, Nauka, 1966 (in Russian).

• 69. Engagement and cutting the bevel gearwheels with cycloidal tooth lines (coauthors: V.N. Kedrinskiy, K.I. Gulyaev, N.B. Firun). ‘‘Machines and tools’’, N2, 1967 (in Russian).

• 70. Synthesis of approximated gearing according to local conditions (Yu.A. Sinichkin, V.S. Smirnov). ‘‘Mashinovedeniye’’, N2, 1967 (in Russian).

• 71. Worm gear drives with the concave profile worm (coauthors: V.N. Komkov, I.P. Bernatskiy). ‘‘Vestnik mashinostroeniya’’, N9, 1967 (in Russian).

• 72. To generation of non-circular bevel gearwheels (coauthor: G.A. Livshits). ‘‘Mashinovedeniye’’, N1, 1968 (in Russian).

• 73. Theory of gearing (monograph, 2nd ed.). ‘‘Nauka’’ Publ., 1968 (in Russian; it was translated into Hungarian and published in Hungary in 1973).

• 74. Transmission of motion by eccentrically fixed helical gearwheels (coauthor: N.G. Lindtrop). ‘‘Gears and worm gear drives’’, Mashinostroenie, 1968 (in Russian).

• 75. Contact conditions and radii of curvatures in the design point for straight bevel gears cut by continuous circular drawing (coauthors: Yu.A. Sinichkin, V.S. Smirnov). ‘‘Theory of mechanisms and machines’’, N5, Kharkov, 1969 (in Russian).

• 76. Determination of main curvatures of tooth flanks and parameters of cutting heads for spiral bevel gears with tapered teeth (coauthor: B.P. Timofeyev). ‘‘Mashinovedeniye’’, N1, 1969 (in Russian).

• 77. Curvature determination for tooth flanks of straight bevel gearwheels at synthesis according to local conditions (coauthors: L.Ya. Liburkin, B.D. Zilberman, Yu.A. Sinichkin). ‘‘Mashinovedeniye’’, N5, 1969 (in Russian).

• 78. Cutting of non-circular bevel gearwheels by intermittent face milling (coauthor: R.Sh. Varsimashvili). ‘‘Machines and tools’’, N5, 1970 (in Russian).

• 79. Generalization of the Euler-Savary formula and determination of relations between main curvatures of tooth flanks in spatial gearing. ‘‘Mashinovedeniye’’, N6, 1970 (in Russian).

• 80. Determination of function of the position in a spatial rod mechanism by a conditional open circuit. ‘‘Mashinovedeniye’’ N3, 1970 (in Russian).

• 81. Finding the line of boundary points on the tool surface (coauthors: V.D. Britskiy, B.P Timofeyev). ‘‘Izvestiya VUZov. Mashinostroyeniye, N3, 1970 (in Russian).

• 82. ‘‘Theory of gears in machines’’ (Chief editing). Mashinostroyeniye, 1970. (in Russian).

• 83. Development of geometry and theory of gearing. ‘‘Theory of gears in machines’’, Mashinostroyeniye, 1970 (in Russian).

• 84. Vector field of normals in ordinary node contact points of the enveloped surface (coauthor: M.L. Erikhov). ‘‘Theory of gears in machines’’. Mashinostroyeniye, 1970 (in Russian).

• 85. Analysis of settings to cut Helixform bevel gears with tapered teeth (coauthor V.N. Rubtsov). ‘‘Machines and tools’’, N12, 1970 (in Russian).

• 86. Worm link stopper of rotation (coauthors: V.D. Britskiy, I.P. Tyrsa). ‘‘Izvestiya VUZov. Priborostroeniye’’, N8, 1970 (in Russian).

• 87. Peculiarities of generating the contact pattern of bevel gears with circular teeth (coauthors: V.N. Rubtsov, Kh.I. Marinov, B.P. Timofeyev). ‘‘Machines and tools’’, N6, 1971 (in Russian).

• 88. Mathematical modeling of approximated gearing and their optimization. ‘‘Proceedings of international congress on theory of mechanisms and machines’’, 1971, Belgrad (in Russian).

• 89. Synthesis of face-milled and Helixform bevel gearwheels with uniform teeth (coauthors: V.N. Rubtsov, Kh.I. Marinov). ‘‘Izvestiya Vuzov. Mashinostroyeniye’’, N1, 1971 (in Russian).

• 90. Kinematic way of determining the curvature of centrodes (coauthor: E.E. Peisakh). ‘‘Izvestiya Vuzov. Mashinostroyeniye’’, N1, 1971 (in Russian).

• 91. Elimination of node contact points at synthesis of involute spiroid gears (coauthor: V.A. Ganshin). ‘‘Theory of gears in machines’’, Nauka, 1971 (in Russian).

• 92. Probabilistic estimation of kinematic error of eccentric gearwheels (coauthors: Y.I. Gutman, V.A. Kutsokon). ‘‘Izvestiya VUZov. Priborostroeniye’’, N10, 1972 (in Russian).

• 93. Synthesis of straight bevel gears cut by circular broaching (coauthors: L.Ya. Liburkin, B.D. Zilberman, Yu. A. Sinichkin). ‘‘Mechanics of machines’’, N 31–32, 1972 (in Russian).

• 94. Transmission of forces and friction losses in spur involute gears with spring mechanism to adjust the dead stroke (coauthors: Yu.Ya. Grossmann, M.A. Nozdrin. ‘‘Izvestiya VUZov. Priborostroeniye’’, N5, 1972 (in Russian).

• 95. Transmission of forces in zoom-lens (coauthors: E.E. Peisakh, Ya.M. Kruger). ‘‘Izvestiya VUZov. Priborostroeniye’’, N12, 1972 (in Russian).

• 96. Synthesis of face-milled and Helixform bevel gearwheels according to local conditions (coauthors: B.P. Timofeyev, V.N. Rubtsov). ‘‘Mechanics of machines’’, N31-32, 1972 (in Russian).

• 97. To definition of some geometrical parameters of gear bearing capacity when cutting the teeth by enveloping method (coauthor: V.D. Britskiy, B.P. Timofeyev). ‘‘Mashinovedeniye’’, N5, 1972 (in Russian).

• 98. Kinematic error of a planetary wave gear (coauthor: I.I. Vasilyeva). ‘‘Izvestiya VUZov. Priborostroeniye’’, N7, 1973 (in Russian).

• 99. Some problems of spatial gearing synthesis (coauthors: B.D. Britskiy, V.A. Ganshin et al.). ‘‘Theory of gears in machines’’, Nauka, 1973 (in Russian).

• 100. Designing the mechanisms and parts of devices (monograph), ‘‘Mashinostroyeniye’’, 1973 (in Russian).

• 101. Probabilistic method of determining the program for automatic amateur photo cameras. Jnl. ‘‘Optical and Mechanical Industry’’, N9, 1973 (in Russian).

• 102. Investigating the influence of assembly errors on accuracy of spiral bevel gears (coauthor: D.I. Ivanova). ‘‘Izvestiya Vuzov. Mashinostroyeniye’’, N11, 1973 (in Russian).

• 103. Guidelines on analysis of kinematic error of spur and helical gears (coauthor: Y.I. Gutman). LITMO Publ., 1974 (in Russian).

• 104. Guidelines on analysis of cams for scanning systems (coauthor: L.L. Alperin). LITMO Publ., 1974 (in Russian).

• 105. Determining the relation between main curvatures at arbitrary value of gear ratio derivative (coauthor: Y.I. Gutman). ‘‘Mechanics of machines’’, N45, Nauka, 1974 (in Russian).

• 106. Combining the local synthesis and solution of the reverse task to optimize the approximated gearing as applied to hypoid gears (coauthor: Y.I. Gutman). ‘‘Mechanics of machines’’, N 45, Nauka, 1974 (in Russian).

• 107. Localization of bearing contact in worm gear drives with cylindrical worms (coauthor: V.I. Rybakov). ‘‘Izvestiya Vuzov. Mashinostroyeniye’’, N8. 1974 (in Russian).

• 108. Applying the method of conditional cutting the contour to determine the motion parameters of seven-, six-, five-link spatial level mechanisms (coauthor: S.E. Karpovich. ‘‘Mashinovedeniye’’. N6, 1975 (in Russian).

• 109. Analysis and design of mechanisms and parts of devices. Chief editor and author of several chapters, ‘‘Mashinostroyeniye’’, 1975 (in Russian).

• 110. Determination of Envelope of Characteristics of Mutually Enveloping Surfaces. ‘‘Izvestiya Vuzov. Matematika’’, N10, 1975 (in Russian)

• 111. Analysis of versions of clock gearing by solving the reverse task (coauthor: S.P. Ganchev). ‘‘Izvestiya VUZov. Priborostroeniye’’, N8, 1975 (in Russian).

• 112. Determining the dimensions of blank plates, generating the solid limited by spatial polyhedron (coauthor: S.E. Karpovich). ‘‘Izvestiya Vuzov. Mashinostroyeniye’’, N10, 1975 (in Russian).

• 113. Structural synthesis of geared kinematic circuits and designing the bearing block to mount the cylindrical gear in the circuit (coauthor: Yu.A. Grossman). LITMO Publ., 1975 (in Russian).

• 114. Geometric and analytic determination of existence domain for a spatial four-link mechanism of RSSR type. ‘‘Mashinovedeniye’’, N4, 1976 (in Russian).

• 115. Conditions of existence of one or two cranks in mechanism of RCCC type (coauthor: S.E. Karpovich). ‘‘Izvestiya Vuzov. Mashinostroyeniye’’, N8, 1976 (in Russian).

• 116. Cutting the non-circular spur and helical gears by discontinuous face milling method with numerical control. ‘‘Reports of AS of Georgia SSR’’, N3, 1976 (in Russian).

• 117. Probabilistic calculation of the backlash for spur involute gears (coauthors: E.I. Tutma, E.V. Shalobayev, Yu.A. Yuryev). ‘‘Izvestiya VUZov. Priborostroeniye’’, N9, 1976 (in Russian).

• 118. Determination and elimination of unfavorable zones of engagement in worm gear drives with cylindrical worms (coauthor: I.P. Bernatskiy). ‘‘Vestnik mashinostroyeniya’’, N12, 1976 (in Russian).

• 119. Calculation of gearing in two-screw pump, consisting of a convolute and conjugated to it screws (coauthor: S.E. Karpovich). ‘‘Vestnik mashinostroyeniya’’, N11, 1976 (in Russian).

• 120. Method of analysis of rod mechanisms with abundant links and its applications (coauthors: R.I. Jamalow, Y.I. Gutman). ‘‘Mashinovedeniye’’, N4, 1978 (in Russian).

• 121. Existence domain of one- and two-crank rod mechanisms of RCCC type with account of force transmission (coauthors: R.I. Dzhamalov, A.B. Kikin). ‘‘Izvestiya Vuzov. Mashinostroenie’’, N11 1977 (in Russian).

• 122. Synthesis of rod mechanisms with osculating cylinders (coauthors: T.S. Bil, Yu.Z. Tenenbaum). ‘‘Izvestiya VUZov. Priborostroeniye’’, N9, 1978 (in Russian).

• 123. Litvin, F.L., Relation Between Curvatures of Teeth Surfaces in Spatial Gearing, Zeitschrift fur Angewandte Mathematik und Mechanik (in German), Vol. 49, p. 685–690, 1969.

• 124. Litvin, F.L., Synthesis of Approximate Meshing for Spatial Gears, Journal of Mechanisms, Vol. 4, Pergamon press, 1969.

• 125. Litvin, F.L., Petrov, K.M., and Ganshin, V. A., The Effect of Geometrical Parameters of Hypoid and Spiroid Gears on Their Quality Characteristics, ASME Journal of Engineering for Industry, Vol. 96, pp. 330–334, 1974.

• 126. Litvin, F.L., Krylov, N.N., and Erikhov, M. L., Generation of Tooth Surfaces by Two-Parameter Enveloping, Mechanism and Machine Theory, Vol. 10, No. 5, pp. 365–373, 1975.

• 127. Litvin, F.L., Simplification of the Matrix Method of Linkage Analysis by Division of a Mechanism into Unclosed Kinematic Chains, Mechanism and Machine Theory, Vol. 10, pp. 315–326, 1975.

• 128. Litvin, F.L., Determination and Analysis of Links Position Functions of a Spatial Linkage, Theor. and Appl. Mechanics, Bulgarian Academy of Sciences, year VII, No 1, 1976.

• 129. Litvin, F.L., Jamalow, R.I. and Petrov, K.M., Analysis of Overconstrained Spatial Mechanisms, Theor. and Appl. Mechanics, Bulg. Acad. of Sciences, Vol. VIII, No 3, 1977.

• 130. Litvin, F.L., Analysis of Undercutting Conditions and of Appearance of an Envelope to Contact Lines on Gear Tooth Surfaces, ASME Journal of Mechanical Design, Vol. 100, pp. 423–432, 1978.

Inventor’s Certificates (Granted in Russia)

• 1. Planetary gearbox. Certificate of authorship N 83854, priority dated January 19, 1949 (coauthor: Ch. F. Ketov).

• 2. Method of checking the centrodes of non-circular gearwheels. Certificate of authorship N 88033 priority dated April 25, 1949 (coauthors: Ch.F. Ketov and B.S. Kogan).

• 3. Device to gear-hobbing machine to cut convex-concave non-circular gearwheels. Certificate of authorship N 91505 priority dated January 24, 1950.

• 4. Device to gear-hobbing machine. Certificate of authorship N 91506 priority dated November 16, 1949.

• 5. Caliper pig to check the profile of gearwheels. Certificate of authorship N93866 priority dated November 27, 1950 (coauthor: N.A. Gayevskiy).

• 6. Gear-hobbing machine for cutting the non-circular gearwheels with concave centrodes. Certificate of authorship N97454 priority dated May 11, 1950 (coauthor: G.G. Pavlov).

• 7. Method of generating the helical surface of the worm. Certificate of authorship N 139531 priority dated January 26, 1961.

• 8. Gear-hobbing machine for cutting the non-circular gearwheels. Certificate of authorship N10005 priority dated January 19, 1954.

• 9. Gear-hobbing machine for cutting the non-circular gearwheels. Certificate of authorship N154700 priority dated June 19, 1961 (coauthors: G.G. Pavlov, N.S. Yablonskiy, V.A. Ziskindovich).

• 10. Device for cutting the non-circular gearwheels at gear-hobbing machines. Certificate of authorship N 162016 priority dated April 11, 1949 (coauthors: Kh.F. Ketov, B.S. Kogan, К.Kh. Klyamikin, M.P. Makarov).

• 11. Device for cutting the non-circular gearwheels at gear-hobbing machines. Certificate of authorship N162017 priority dated April 11, 1949.

• 12. Low-frequency vibration stand. Certificate of authorship N169845 priority dated February 29, 1964 (coauthors: G.G. Pavlov, A.V. Frolova, G.A. Smirnov).

• 13. Method of machining the rotational flanks of centrifugal pump impeller. Certificate of authorship N 192601 priority dated July 9, 1963 (coauthor: V.A. Ziskindovich).

• 14. Method of machining the worm gear with contact localization. Certificate of authorship N 263394 priority dated June 19, 1967 (coauthors: V.D. Britskiy, V.I. Vasylyev, V.F. Gruzdev, N.I. Vyushkin, V.I. Rybakov).

• 15. Method of cutting the conjugated screws. Certificate of authorship N 272007 priority dated December 19, 1967 (coauthor: A.M. Politavkin).

• 16. Spiroid involute gear. Certificate of authorship N364783 priority dated February 22, 1971 (coauthors: L.S. Borovich, V.A. Ganshin).

• 17. Device for controlling the kinematic error of gears. Certificate of authorship N435448 priority dated October 29, 1971 (coauthors: B.Ya. Karasik, R.S. Lipkovich, N.A. Anikeyeva, A.A. Zaostrovskiy). This invention was awarded by “USSR inventor” badge on November 29, 1978.

• 18. Device for demonstrating the reduction of friction losses in bearing supports. Certificate of authorship N 43638 priority dated March 21, 1972 (coauthors: V.I. Rybakov, V.A. Udalov).

• 19. Demonstrator prototype of wave gear. Certificate of authorship N477446 priority dated March 20, 1972 (coauthors: V.I. Rybakov, E.A. Bugrov).

• 20. Gear with crossed axes. Certificate of authorship N 530135 priority dated May 24, 1974 (coauthors: I.A. Bazavluk, L.S. Borovich, V.A. Ganshin, Y.I. Gutman).

• 21. Lever mechanism. Certificate of authorship N561040 priority dated April 5, 1976. (coauthors: T.S. Bil, Yu.Z. Tenenbaum).

• 22. Synchronous lock between SON-2 and PUAZO-3. 1943. Technical improvement was done during WWII.