Radzevich, S.P. Monograph - 2001

Радзевич С.П., (1989c), “Профилирование фасонных инструментов для обработки сложных поверхностей на многокоординатных станках с ЧПУ”. – Станки и инструмент, №7, с.10-12.

Радзевич С.П., (1989d), Повышение эффективности эксплуатации многокоординатных станков с ЧПУ. –

М.: ВНИИТЭИМР. –56с.

Радзевич С.П., (1989e), Способы фрезерования фасонных поверхностей деталей. – М.: ВНИИТЭМР. –72с.

Радзевич С.П., (1990), “Рациональное ориентирование сложной поверхности детали на столе многокоординатного станка с ЧПУ”. – Известия ВУЗов. Машиностроение, №2, с.140-145.

Радзевич С.П., (1991a), Дифференциально-геометрический метод формообразования поверхностей при механической обработке деталей. – Автореф. дисс. … д-ра техн. наук. – Тула, ТулПИ. –48с.

Радзевич С.П., (1991b), Дифференциально-геометрический метод формообразования поверхностей при механической обработке деталей. – Дисс. … д-ра техн. наук. – Днепродзержинск: ДГТУ. –300с.

Радзевич С.П., (1991c), Формообразование сложных поверхностей на станках с ЧПУ. – Киев: Вища школа. – 192с.

Радзевич С.П., (1998), “К-отображение поверхностей деталей и исходных инструментальных поверхностей”. – В сб.: Вестник НТУУ “Киевский политехнический институт”. Серия: Машиностроение, вып.33, с.232-

240.

Радзевич С.П., Дмитренко Г.В., (1987) “Обработка фасонных поверхностей вращения на станках с ЧПУ”,

Машиностроитель, №5, с. 17-19.

Радзевич С.П., Олейник Л.А., Радченко С.В., (1988), “Об оптимизации параметров процесса многокоординатного формообразования сложных поверхностей деталей на станках с ЧПУ”. – В сб.: Исследования в области формообразования поверхностей при механической обработке деталей. – Днепродзержинск: Днепродзержинск. индустриальн. ин-т, с.57-72. Рукопись депонирована в УкрНИИНТИ 02.01.89, №65Ук89.

Радзевич С.П., Палагута В.А., (1988a), Новые достижения в области чистовой обработки цилиндрических зубчатых колес. – М.: ВНИИТЭМР. – 52с.

Радзевич С.П., Палагута В.А., (1988b), “САПР чистовой обработки цилиндрических зубчатых колес”, Механи-

зация и автоматизация производства, №10, с. 13-15.

Радзевич С.П., Палагута В.А., (1997), “Синтез наивыгоднейшего процесса шевингования цилиндрических зубчатых колес”. – Вестник машиностроения, 1997, №8, с.36-41.

Радзевич С.П., Петренко, Т.Ю., (1999), “Поверхности деталей и инструментов, допускающие движение

“самих по себе””, Механіка та машинобудування, №1, с. 231–240.

Развитие науки о резании металлов. (1967) – /Под ред. Н.Н. Зорева, Г.И. Грановского, М.Н. Ларина, Т.Н. Лоладзе, И.П. Третьякова. – М.: Машиностроение. –416с.

Рашевский П.К., (1939), Курс дифференциальной геометрии. Изд. 2-е, испр. и доп. – М.-Л.: ГОНТИ. –360с.

Рвачев В.Л., (1982), Теория R функций и некоторые ее приложения. – Киев: Наукова думка. –551с.

Решетов Д.Н., Портман В.Т., (1986), Точность металлорежущих станков. – М.: Машиностроение. –336с.

Родин П.Р., (1960), Основы теории проектирования режущих инструментов. – М.-Киев: Машгиз. –160с.

Родин П.Р., (1961), Вопросы теории проектирования режущих инструментов. – Дисс. … д-ра техн. наук. –

Одесса: ОПИ. –373с.

Родин П.Р., (1977), Основы формообразования поверхностей резанием. – Киев: Вища школа. –192с.

Родин П.Р., Линкин Г.А., Татаренко В.Н., (1976), Обработка фасонных поверхностей на станках с числовым программным управлением. – Киев: Техніка. –200с.

Розенберг А.М., Халфен Р.В., (1976), “К вопросу о действительном направлении схода стружки при косоугольном резании”. – В сб.: Резание и инструмент. Вып.16. – Харьков: Вища школа, с.3-5.

Сахаров Г.Н., (1974), Вопросы теории обкаточных инструментов. – Дисс. … д-ра техн. наук. – М.: Мосстан-

кин. –320с.

Сахаров Г.Н., (1989), Металлорежущие инструменты. – М.: Машиностроение. –328с.

Сахаров Г.Н., (1983), Обкаточные инструменты. – М.: Машиностроение. –232с.

Семенченко И.И., Матюшин В.М., Сахаров Г.Н., (1962), Проектирование металлорежущих инструментов. –

М.: Машгиз. –952с.

Семенченко И.И., (1936), Режущий инструмент. Конструирование и производство. Том 1. – Л.: ОНТИ.

Семенченко И.И., (1938), Режущий инструмент. Конструирование и производство. Том 2. – Л.: ОНТИ. – 676с.

Семенченко И.И., (1944), Режущий инструмент. Том 3. – М.-Свердловск: Машгиз. –559с.

Семенченко И.И., (1944), Режущий инструмент. Том 4. – М.-Свердловск: Машгиз. –440с.

Скоутен Я., (1965), Тензорный анализ для физиков. – М.: Наука. –456с.

Смирнов А.И., (1982), Анализ перспектив развития методов формообразования в машиностроении. – М.:

НИИМАШ. –49с.

Смирнов В.И., (1958), Курс высшей математики. Том 2. Изд-е 16-е. – М.: Физматгиз. –628с.

Станки с числовым программным управлением (специализированные), (1988)/В.А. Лещенко, Н.А. Богданов,

И.В. Вайнштейн и др.; Под общ. ред. В.А. Лещенко. – 2-е изд., перераб. и доп. – М.: Машиностроение,

1988. –568с.

Степанов Н.Н., (1948), Сферическая тригонометрия. Изд. 2-е. – М.-Л.: ОГИЗ. –154с.

Степанов Ю.С., Белкин Е.А., (1990), “Расчет тензора Римана-Кристоффеля общей винтовой поверхности по заданному метрическому тензору”. – в кн.: Современные методы повышения качества и надежности продукции на предприятиях машиностроения. Материалы межрегионального научно-технического семинара. – Орел: ВНТО машиностроения, с.4-8.

Стечкин С.В., Субботин Ю.Н., (1976), Сплайны в вычислительной математике. – М.: Наука. –248с.

Талантов Н.В., (1992), Физические основы процесса резания, изнашивания и разрушения инструмента. – М.:

Машиностроение. –240с.

Фавар Ж., (1960), Курс локальной дифференциальной геометрии. – М.: Изд. иностр. лит. –560с.

Федотенок А.А., (1970), Кинематическая структура металлорежущих станков. – М.: Машиностроение. – 403с.

Фиников С.П., (1961), Дифференциальная геометрия. – М.: Изд. Моск. ун-та. –158с. Фиников С.П., (1952), Курс дифференциальной геометрии. – М.: ГТТИ. –343с. Фиников С.П., (1934), Теория поверхностей. – М.: ГТТИ. –200с.

Фокс А., Пратт М., (1982), Вычислительная геометрия: применение в проектировании и на производстве. М.: Мир. –304с.

Фрайфельд И.А., (1948), Инструменты, работающие методом обкатки. – М.: Машгиз. –252с.

Фролов С.А., (1983), Начертательная геометрия. Изд. 2-е, перераб. и доп. – М.: Машиностроение. –240с. Цвис Ю.В., (1961), Профилирование режущего обкатного инструмента. – М.: Машгиз. –156с.

Цепков А.В., (1979), Профилирование затылованных инструментов. – М.: Машиностроение. –150с. Чарнко Д.В., (1963), Основы выбора технологического процесса механической обработки. М.: Машгиз.

Шевелева Г.И., (1973), “Квазилинейный контакт в зубчатых зацеплениях”. – Машиноведение. 1973, №3, с.5462.

Шевченко Н.А., (1957), Геометрические параметры режущей кромки и сечения срезов. – М.: Машгиз. –140с. Шишков В.А., (1951), Образование поверхностей резанием по методу обкатки. – М.: Машгиз. –152с.

Этин А.О., (1964), Кинематический анализ методов обработки металлов резанием. – М.: Машиностроение. –322с.

Юликов М.И., Горбунов Б.И., Колесов Н.В., (1987), Проектирование и производство режущего инстру-

мента. – М.: Машиностроение. –296с.

Юликов М.И., (1979), Теоретические основы системы проектирования режущих инструментов. – Дисс. … д-ра техн. наук. – Тула: ТулПИ. –300с.

Юнусов Ф.С., (1968), Исследование строчечного метода обработки лопаток авиационных газотурбинных двигателей. – Дисс. … д-ра техн. наук. – Казань: КАИ. –167с.

Юнусов Ф.С., (1987), Формообразование сложнопрофильных поверхностей шлифованием. – М.: Машино-

строение. –248с.

Якимов А.В., (1984), Абразивно-алмазная обработка фасонных поверхностей. – М.: Машиностроение. –312с.

Якимов А.В., Ларшин В.П., Скляр А.М., (1986), “Влияние формы поверхности обрабатываемой детали на температуру при шлифовании”. – Сверхтвердые материалы, №4, с.38-43.

“The Geometric Modeling and Interrogation System Praxiteles”, Journal of Ship Production , Vol. 11, No. 2, May 1995, pp. 117-132.

Akivis, M.A., and Goldberg, V.V., (1972), An Introduction to Linear Algebre and Tensors, New York, Dover.

Amirouche, F.M.L., (1993), Computer-Aided Design and Manufacturing, Englewood Cliffs, N.J., Prentice Hall, 538p.

Anderson, R.K.E., (1993), “Surfaces with Prescribed Curvature. 1”, Computer-Aided Geometric Design, Vol.10, pp.431-452.

Astakhov, V.P., (1999) Metal Cutting Mechanics, CRC Press, Inc., 297p.

Banchoff, T., Gaffney, T, & McCrory, C., (1982), Cusps of Gauss Mapping, Pitman Advanced Publishing Program, Boston, London, Melburne, 89p.

Barnhill, R.E., and Riesenfeld, R.F., (1974), Computer-Aided Geometric Design, Academic Press, NY.

Beckenbach, E.F., (1967), “Inequalities in the Differential Geometry of Surfaces”, in Shisha, O. (ed.) Inequalities, New York: Academic Press.

Bertoline, G.R., Wiebe, E.N., Miller, C.L., Nasman, L.O., (1996), “Fundamentals of Graphics Communication”, IRWIN, 628p.

Besant, C.B., and Lui, C.W., (1986), Computer-Aided Design and Manufacture, Ellis Horwood, Chichester.

Bezier, P.E., (1970), Emploi les Machines a Commande Numirique. – Paris, Massonet Cie., p.456.

Bezier, P., (1972), Numerical Control: Mathematics and Applications , trans. by A.R. Forrest and Anne F. Pankhurst. London: John Wiley & Sons, London, 240p.

Bezier, P., (1986), The Mathematical Basis of the UNISURF CAD System, London, Butterworths.

Bezier, P.E., (1973), Uniserf System. – Proc. of IFIP-IFAC Conf. PROLOMAT-73, pp.417-42.

Bliko, I., Kowerich, S., and Paulik, P., (1998), “Experience from a Quantum Improvement in Turbine Manufactu-

ring”, in Machining Impossible Shapes, IFIP TC5 International Conference on Sculptured Surface Machining (SSM’98), November 9-11, 1998, Chrysler Technology Center, Michigan, USA, Edited by G.J. Olling,

B.K. Choi, R.B. Jerard, Kluwer Academic Publishers, Boston, USA, 1998, pp.8-23.

Boltyanskii, V.G., (1964), Envelopes, McMillan Co., NY, 76p.

Boogert, R.M., Kals, H.J.J. and van Houten, F.J.A.M., (1996), “Tool Path and Cutting Technology in Computer-

Aided Process Planning”, International Journal of Advanced Manufacturing Technology , Vol. 11, No. 3, pp.186197.

Boothroyd, G., and Knight, W.A., (1989) Fundamentals of Machining and Machine Tools, 2nd ed., Marcel Dekker, NY.

Bronshtein, I.N., Semendyayev, K.A., (1985), Handbook of Mathemetics, English translation edited by K.A.Hirsch, Van Nostrand Reinhold Company, New York, Cincinnati, Toronto, London, Melburne, 973p.

Bruce, J.W., and Giblin, P.J., (1984), Curves and Singularities, Cambridge University Press, Cambridge.

Burke, W.L., (1985), Applied Differential Geometry, Cambridge University Press, Cambridge.

Calladine, C.R., (1983), Theory of Shell Structure, Cambridge University Press.

Chao-Hwa Chang, Melkanoff, M.M., (1989), NC Machine Programming and Software Design, Prentice Hall, 589p.

Chen, C.-H., (1997), “Conjugation Form of Motion Representation and its Conversation Formulas”, Mechanism and Machine Theory, Vol. 32, No 6, pp.765-774.

Chen, H.H., and Marshek, K.M., (1988), “Effect of Clearance and Material Property of Contact Pressure in TwoDimensional Conforming Cylinders”, Mechanisms and Machine Theory, Vol.23, №1, pp.55-62.

Chen, L.L, Chou, S.Y., Woo, T.C., (1993), “Separating and Intersecting Spherical Polygons: Computing Machinability on Three-, Four-, and Five-Axis Numerically Controlled Machines”, ACM Transactions on Graphics, Vol. 12,

No. 4, October, pp.305-326.

Chen, L.L., Chou, S.Y., and Woo, T.C., (1995), “Partial Visibility for Selecting a Parting Direction in Mold and Die Design”, J. Manuf. Syst., Vol. 14, No 5, pp.319-330.

Chen, L.L., and Woo, T.C., (1992), “Computational Geometry on the Sphere with Application to Automated

Machining”, ASME J. of Mechanical Design, Vol. 114, pp.288-295.

Choi, B.K., (1991), Surface Modeling for CAD/CAM, Elsevier, 389p.

Choi, B.K., (1992), ARMA Model Identification, Springer-Verlag, NY, 200p.

Choi, B.K., Jerard, R.B. (1998), Sculptured Surface Machining. Theory and Application, Kluwer Academic Publishers, Dordrecht/Boston/London, 368p.

Chou, J.-J., Yang, D.C.H., (1991), “Command Generation for Three-Axis CNC Machining”, ASME Journal of Engineering for Industry, August, Vol.113, pp.305-310.

Chou, J.-J., Yang, D.C.H., (1992), “On the Generation of Coordinated Motion of Five-Axis CNC/CMM Machines”,

ASME Journal of Engineering for Industry, February, Vol.114, pp.15-22.

Clar, L., and Hart, J.A., (1980), Calculus with Analytic Geometry for the Technologies, Prentice-Hall, Englewood Cliffs, NJ.

Denavit, J. and Hartenberg, R.S., (1955), “A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices”,

ASME Journal of Applied Mechanics,Vol. 77, pp. 215-221. (Manuscript received by ASME Applied Mechanics

Division, December 14, 1953, paper №54-A-34).

Dhande, S.G., Karunakaran, K.P., Misra, B.K., (1995), “Geometric Modeling of Manufacturing Processes Using Symbolic and Computational Conjugate Geometry”, ASME Journal of Engineering for Industry, August, Vol.

117, pp.288-296.

Dinauer, W.R., Duffie, N.A., Philpott, M.L., (1994), “Error Compensation Algorithm for Sculptured Surfaces Production”, ASME Journal of Engineering for Industry, May, Vol.116, pp.144-152.

doCarmo, M.P., (1976), Differential Geometry of Curves and Surfaces, Englewood Cliffs, NJ: Prentice-Hall, 503p.

Dooner, D.B., Seireg, A.A., (1995), The Kinematic Geometry of Gearing. A Concurrent Engineering Approach, John Wiley & Sons, Inc., NY, 450p.

Dong, Z., Li, H., Vickers, G.W., (1993), “Optimal Rough Machining of Sculptured Parts on a CNC Milling Machine”, ASME Journal of Engineering for Industry, November, Vol.115, pp.424-431.

Eisenhart, L.P., (1909), A Treatise on the Differential Geometry of Curves and Surfaces, London, Dover Publications, Inc., New York, reprint 1960, 474p.

Elber, G., Cohen, E., (1993), “Second-Order Surface Analysis Using Hybrid Symbolic and Numeric Operators”, ACM Transactions on Graphics , Vol. 12, No. 2, April, pp. 160-178.

Farin, G., (1990), Curves and Surfaces for Computer Aided Design. A Practical Guide, Academic Press, 444p.

Faux, L.D., Pratt, M.J., (1987), Computational Geometry for Design and Manufacture, Ellis Horwood Limited Publishers, Chichester, John Wiley & Sons, NY, 331p.

Fisher, G. (Ed.), (1986): Mathematical Models, Friedrich Vieweg & Sohn, Braunachweig/Wiesbaden.

Flanders, H., (1963), Differential Forms, Academic Press, New York.

Flaquer, J., Garate, G., Pargade, M., (1992), “Envelopes of Moving Quadric Surface”, Computer-Aided Geometric Design, Vol.9, pp.299-312.

Foley, J.D., Van Dam, A., (1982), Foundations of Interactive Computer Graphics , Addison-Wesley Publiching Company, 664p.

Forrest, A.R., (1971), Computational Geometry, Proc. Roy. Soc., London, Vol. A321, pp.187-195.

Forsyth, A.R., (1912), Lectures on the Differential Geometry of Curves and Surfaces, Cambridge: at the University Press, 525p.

Fuller, L.E., (1962), Basic Matrix Theory, Englewood Cliffs, NJ, 245p.

Fundamental Issues in Machining , (1990) PED-Vol.43, Edited by B.E. Klamecki and K.J. Weinmann, ASME, United Engineering Center, N.Y., 346p.

Fussel, B.K., Shrinivasan, K., (1989), “An Investigation of the End Milling Process Under Varying Machining Conditions”, ASME Journal of Engineering for Industry, February, Vol.111, pp.27-36.

Fussel, B.K., Shrinivasan, K., (1989), “On-Line Identefication of End Milling Process Parameters”, ASME Journal of Engineering for Industry, November, Vol.111, pp.322-330.

Gan, J.G., Woo, T.C., and Tang, K., (1994), “Spherical Maps: their Construction, Properties, and Approximation”,

ASME J. of Mechanical Design, Vol. 116, pp.357-363.

Gasson, P.C., (1983), Geometry of Spatial Forms, Ellis Horwood, Chichester, 601p.

Gauss, K.-F., (1828), Disquisitions Generales Circa Super ficies Curvas, Gottingen, 1828. (English translation: General Investigation of Curved Surfaces, by J.C.Morehead & A.M.Hiltebeitel, Princeton, 1902; reprinted with introduction by Courant, Raven Press, Hewlett, New York, 1965, 119p.).

Geometry of Active Parts of Cutting Tools – General Terms, Reference Systems, Tool and Working Angles. ISO/DIS 3002, 1997.

Geotz, A., (1970), Introduction to Differential Geometry, Addison-Wesley, Reading.

Giutsi E., (1978), “On the Equation of Surfaces of Prescribed Mean Curvature”, Inventiones Mathematicae, Vol.46, pp.111-137.

Graphic Gems, (1990) Edited by Glassner A.S., Xerox Palo Alto Research Center, Palo Alto, California, Academic Press, Inc., Harcourt Brace Jovanovich, Publishers, Boston, 834p.

Guggenheimer, H.W., (1963), Differential Geometry, McGraw-Hill, New York.

Gupta, P., Janardan, R., Majhi, J., and Woo, T.C., (1996), “Efficient Geometric Algorithm for Workpiece Orien-tation in 4- and 5-Axis Machining”, Computer-Aided Design, Vol. 28, No 8, pp.577-587.

Gupta, S.K.,Tian, Q., Weiss, L., (1998), “Finding Near-Optimal Build Orientations for Shape Deposition Manufacturing”, in Machining Impossible Shapes, IFIP TC5 International Conference on Sculptured Surface Machining (SSM’98), November 9-11, Chrysler Technology Center, Michigan, USA, Edited by G.J. Olling,

B.K. Choi, R.B. Jerard, Kluwer Academic Publishers, Boston, USA, 1998, pp.208-216.

Gutkowski, L.J., Kinzel, G.L., (1995), “Kinematic Transformation Matrices for 3D Surface Contact Joints”, ASME Journal of Mechanical Design, Vol. 117, June, pp.278-285.

Habib, A.W., and Goldman, R.N., (1996), “Theories of Contact Specified by Connection Matrices”, Computer-Aided Geometric Design, Vol. 13, pp.905-929.

Haigh, M.J., (1985), An Introduction to Computer-Aided Design and Manufacture , Blackwell Scientific Publications, Oxford.

Han, Z., Yang, D., (1998), ”Optimal Tool Selection for Interference-Free Sculptured Surface Machining”, in Machining Impossible Shapes, IFIP TC5 International Conference on Sculptured Surface Machining (SSM’98),

November 9-11, 1998, Chrysler Technology Center, Michigan, USA, Edited by G.J. Olling, B.K. Choi, R.B. Jerard, Kluwer Academic Publishers, Boston, USA, pp.247-262.

Held, M., (1991), On the Computational Geometry of Pocket Machining, Springer-Verlag.

Hohn, F.E., (1973), Elementary Matrix Algebra, 3rd ed., McMillan, NY.

Hopf, H., (1955 -?), Lectures on Differential Geometry in the Large, 155p. (Typewritten, Copy: The Library of Brown Universirty, USA).

Hu, Y.N., Tse, W.C., Chen, Y.H., Zhou, Z.D., (1998), “Tool-Path Planning for Rough Machining of a Cavity by Layer-Shape Analysis”, International Journal of Advanced Manufacturing Technology, Vol. 14, No. 5, pp.321-

329.

Hui, L., Yong, L., Haiqing, G., Bo, L.,Jiguo, Z., (1998), ”A Layered 5-Axis Machining Method”, in Machining Impossible Shapes, IFIP TC5 International Conference on Sculptured Surface Machining (SSM’98), November 9-

11, 1998, Chrysler Technology Center, Michigan, USA, Edited by G.J. Olling, B.K. Choi, R.B. Jerard, Kluwer Academic Publishers, Boston, USA, pp.217-224.

Hunt, K.H., Kinematic Geometry of Mechanisms, (1978) Clarendon Press, Oxford, 465p.

Hwang, J.S., (1992), “Interference-Free Tool-Path Generation in NC Machining if Parametric Compound Surfaces”,

Computer-Aided Design, Vol. 24, No. 12, December pp.667-676.

Ip, W.L.R., Loftus, M., (1996), “Adaptive and Compensation Methods in Free-Form Surfaces Assessment”, IMechI Journal of Engineering Manufacture, Proceedings, Part B, Vol.210, NoB2, pp.135-145.

Ismail, F., Elbestawi, M.A., Du, R., Urbasik, K., (1993), “Generation of Milled Surfaces Including Tool Dynamics and Wear”, ASME Journal of Engineering for Industry, August, Vol.115, pp.245-252.

Jeffreys, H., (1961), Cartesian Tensors , Cambridge, University Press, 93p.

Kedem, G., and Hammond, S.W., (1985), “The Point Classifier: A VLSI Processor for Displaying Complex Two Dimensional Objects”, In: Proceedings of the 1985 Chapel Hill Conference on VLSI”, Computer Science Press,

Rockville, MD., pp.377-392.

Kells, L.M., Kern, W.F., Bland, J.R., (1951), Plane and Spherical Trigonometry , 3rd ed., McGrow Hill, NY, 318p.

Koenderink, J.J., (1990), Solid Shape, The MIT Press, Cambridge, Massachusetts, 699p.

Kondo, M., Iwata, K., and Saito, K., (1995), “Generation of Tool Paths for a Die Sinking Based on ”Skewed Cube Modeler””, International Journal of Japan Society of Precision Engineers, Vol. 29, No. 3 (Sept. 1995), pp.263-

268.

Kovacic, I., (1988), “The Chatter Vibrations in Metal Cutting – Theoretical Approach”, University of Nis, The scientific journal Facta Universitatis , Series: Mechanical Engineering , Vol. 1, No.5, pp.581593.

Kreyszig, E., (1959), Differential Geometry, University of Toronto Press, Toronto, 352p.

Lee, T.M.P., (1971), “Analysis of an Efficient Homogeneous Tensor Representation of Surfaces for Computer Display”, in: Advance Computer Graphics, Edited by Parslow, R.D., and Grenn, R.E., Plenum Press, NY,

pp.1119-1141.

Lee, Y.-S., (1997), “Five-Axis Toolpath Generation”, p.74 in: Hallum, D.L.: Predicting the Metalcutting Process, NFMRC XXV Report, Manufacturing Engineering, July, pp.68-74.

Lentz, D.H., Sowerby, R., (1993), “Feature Extraction of Concave and Convex Regions and their Intersection”,

Computer-Aided Design, Vol.25, No. 7, July, pp.421-437.

Ligun, A.A., Shumeiko, A.A., Radzevich, S.P., Goodman, E.D., (1997), “Asymptotically Optimal Disposition of Tangent Points for Approximation of Smooth Convex Surfaces by Polygonal Functions”, Computer-Aided

Geometric Design, Vol. 14, pp. 533-546.

Ling, R.-S., Kren, Y., (1996), “Efficient Tool-Path Planning for Machining Free-Form Surfaces”, ASME Journal of Engineering for Industry, Vol. 118, February, pp.20-28.

Litvin, F.L., (1989), Theory of Gearing, NASA Reference Publication 1212, AVSCOM Technical Report, 88-C-035, 470p.

Litvin, F.L., (1994), Gear Geometry and Applied Theory, Prentice Hall, Englewood Cliffs, NJ, 724p.

Lowe, P.G., (1980), A Note on Surface Geometry with Special Reference to Twist, Mathematical Proceedings of the Cambridge Philosophical Society, Vol.87, pp.481-487.

Lowe, P.G., (1982), Basic Principles of Plate Theory, Surrey University.

Machining Impossible Shapes, (1998), IFIP TC5 International Conference on Sculptured Surface Machining (SSM’98), November 9-11, 1998, Chrysler Technology Center, Michigan, USA, Edited by G.J. Olling,

B.K. Choi, R.B. Jerard, Kluwer Academic Publishers, Boston, USA, 1998, 386p.

Maekawa, T., (1996), “Computation of Shortest Paths on Free-Form Parametric Surface”, ASME Journal of Mechanical Design, December, Vol.118, pp.499-508.

Maekawa, T., Patrikalakis, N., (1994), “Interrogation of Differential Geometry Properties for Design and Manufacture”, Visual Computer, Vol.10: 216-237.

Marciniak, K., (1987), “Influence of Surface Shape on Admissible Tool Positions in 5-axis Milling”, Computer-Aided Design, Vol.19, №5, June, pp.233-236.

Marciniak, K., (1991), Geometric Modeling for Numerically Controlled Machining, Oxford University Press, N.Y., 245p.

Marciniak, K., (1992), Geometric Modeling for Numerically Controlled Machining, Oxford University Press, N.Y., 416p.

Mathematics of Surfaces, (1984), Conference Proceedings, Oxford University Press, Oxford, 1986, 282p.

Merchant, M. E., (1944), “Basic Mechanics of Metal-Cutting Process”, J. Appl. Mech,Vol. 15, September.

Merchant, M.E., (1945), “Mechanics of the Metal Cutting Process II, Plasticity Conditions in Orthogonal Cutting”, J. Appl. Mech., Vol. 16, June.

Minyang, Y., and Heeduck, (1991), “The Prediction of Cutting Force in Ball-End Milling”, International Journa l of

Machine Tool & Manufacture: Design, Research and Application (formerly: Machine Tool Design & Research),

Vol.31, №1, pp.45-54.

Miron, R., (1958), “Observatii a Supra Unor Formule din Geometria Varietatilor Neonolonome E32 ”. – Bulletinul Institutuini Politechnic din Iasi.

Mirtich, B., (1998), “V-Clip: Fast and Robust Polyhedral Collision Detection”, ACM Transactions on Graphics, Vol.17, No.3, July, pp.177-208.

Montaldi, J.A., (1986), “Surfaces in 3-Space and their Contact with Circles”, J.Diff.Geom. Vol.23, pp.109-126.

Mortenson, M., (1990), Computer Graphics Handbook , Industrial Press Inc., New York, 259p. Mortenson, M., (1985), Geometric Modeling, John Wiley & Sons, NY, 763p.

Mortenson, M., (1995), Geometric Transformations, Industrial Press Inc., New York, 357p.

Mortenson, M., (1999), Mathematics for Computer Graphics Application, 2nd edition, Industrial Press Inc., New York, 354p.

Murray, R.M., Zexiang, L., Sastry, S.S., (1994) A Mathematical Introduction to Robotic Manipulation, CRC Press, Boca Raton, 456p.

Nutbourn, A.W., (1986), “A Circle Diagram for Local Differential Geometry”. In J.Gregory (ed.) Mathematics of Surfaces, Conference Proceedings, Institute of Mathematics and its Application, 1984, Oxford University Press, Oxford.

Nutbourn, A.W., and Martin, R.R., (1988), Differential Geometry Applied to Curve and Surface Design, Volume 1: Foundations, Ellis Horwood Ltd. Publishers, Chichester, 282p.

Olesten, N.O., (1977), Numerical Control, Wiley-Interscience, NY, 646p.

Oliver, J.H., (1992), “Efficient Intersection of Surface Normals with Milling Tool Swept Volume for Discrete Three-

Axis NC Verification”, ASME Journal of Mechanical Design, June, Vol.114, pp.283-287.

Oliver, J.H., Wysocki, D.A., Goodman, E.D., (1993), “Gouge Detection Algorithm for Sculptured Surfaces NC

Generation”, ASME Journal of Engineering for Industry, February, Vol.115, pp.139-144.

Olivier, T., (1842), Theorie Geometrique des Engrenages, Paris.

O’Neil, B., (1966), Elementary Differential Geometry, Academic Press, New York and London, 411p.

Oxley, P.L.B., (1989), Mechanics of Machining. An Analytical Approach to Assessing Machinability, Ellis Horwood Ltd., Chichester, 242p.

Paraidammou, S.G., and Kiritsis, D., (1985), “An Application of Bertrand Curves and Surfaces to CAD/CAM”, Com- puter-Aided Design, Vol. 17, No.8, pp.348-352.

Paul, P.R., (1981), Robot Manipulators: Mathematics, Programming, and Control. The Computer Control of Robot Manipulators, The M I T Press, Cambridge, Massachusetts and London, England, (Second Printing, 1982), 279p.

Pegna, J., Wolter, F.-E., (1992), “Geometrical Criteria to Guarantee Curvature Continuity of Blend Surfaces”, ASME Journal Mechanical Design, March, Vol.114, pp.201-210.

Philpott, M.L., Mitchell, S.E., Tobolsky, J.F., Green, P.A., (1995), “Simultanious In-Process Inspection of Surface

Form and Roughness of Machined Sculptured Surfaces”, ASME Journal of Engineering for Industry, August, Vol.117, pp.430-438.

Plucker, J., (1865), On a New Geometry of Space, Phil. Trans. R. Soc. London, Vol. 155, pp.725-791.

Potter, M.C., (1978), Mathematical Methods in the Physical Science, Prentice Hall, Inglewood Cliffs, NJ, 466p.

Pottmann, H., Wallner, J., Glaeser, G., Ravani, B., (1998), Geometric Criteria for Gouge -Free Three-Axis Mil-ling of Sculptured Surfaces, Technical Report No.47, January 1998, Technische Universitat Wien, Institut fur Geometrie, Wien, Austria, 11p.

Radzevich, S.P., (1998), “Basic Conditions of Proper Part Surface Generating While Machining on Conventional

Machine Tool”, University of Nis , The scientific journal Facta Universitatis , Series: Mechanical Engineering , Vol.1, No.6, pp. 637–651.

Radzevich, S.P. (2002), “Conditions of Proper Sculptured Surface Machining”, Computer-Aided Design, Vol. 34,

№ 10, September, pp.727-740.

Radzevich, S.P., Goodman, E.D., (1998), “Efficiency of Multi-Axis NC Machining of Sculptured Part Surfaces”, in

Machining Impossible Shapes, IFIP TC5 International Conference on Sculptured Surface Machining (SSM’98),

November 9-11, 1998, Chrysler Technology Center, Michigan, USA, Edited by G.J. Olling, B.K. Choi, R.B. Jerard, Kluwer Academic Publishers, Boston, USA, pp.42-58.

Radzevich, S.P., Goodman, E.D., (2002), “Computation of Optimal Workpiece Orientation for Multi-Axis NC Machining of Sculptured Part Surfaces”, ASME J. of Mechanical Design, June, Vol.124, №2, pp.201-202.

Radzevich, S.P., (2000), “The New Approach to Design of the Shaped Cutting Tool for Multi-Axis NC Machining of Sculptured Part Surface”, In Proceidings of the Third International Symposim: Tools and Methods of Competitive Engineering. TMCE’2000, April 18-21, 2000, Delft, The Netherlands, 2000, pp.675-689.

Rao, N., Bedi, S., Buchal, R., (1996), “Implementation of the Principle-Axis Method for Machining of Complex

Surfaces”, International Journal of Advanced Manufacturing Technology, Vol. 11, No. 4, pp.249-257.