Samara, Samara, Russian Federation
In some performed experimental works there is no total characteristic of study processes with regard to their physical understanding. It’s possible to achieve such understanding by means of epure and graphic interdependency for parameters illustrating experiment process, and by means of geometrical images which testify regularity of their outline, and are characteristic of physical process. The use of epure multidimensional octant nomogram can promote the solution for a number of application-oriented problems. By means of two octant epure nomograms constructed on experimental tabular data with four or five parameters, the optimum choice of graphic execution and its implementation in the area of physical genesis is offered. This method’s justifications have been given in the paper. A basis for extension of new opportunities is certainly descriptive geometry that facilitates a solution to technical tasks on multidimensional geometry. At the heart of similarity of adjacent octant cells with general axis are plotted two octant axonometric nomograms creating interdependencies between parameters by means of communication lines. This method opens a possibility for physical processes’ nature understanding. In this paper have been presented two graphic models for two octant nomograms in which advantages of their creation and reading have been presented. Foundations on which derivations are built when constructing the nomograms are validated by the similarity theorem and the axiom of projected surface. Absolute values of parameters are actual ones, and presented from papers of journals, as well as from peer-reviewed scientific publications recommended by Higher Attestation Commission.
descriptive geometry, multi-component systems, spatial nomography, functional and reasoning axes, communication lines, experiment’s physical component, working horizontal plane, reasoning frontal plane, reasoning profile plane, similarity theorem, axonometric projections, octant nomograms, two-octant nomogram, coordinate axes.
В 1906–1908 гг. впервые в Росси начал заниматься вопросами номографии Н.М. Герсеванов. Большая заслуга в деле развития теории номограмм и организации номографирования инженерных расчетов принадлежит Н.А. Глаголеву, возглавившему советскую номографическую школу [2].
1. Batuner L.M. Matematicheskie metody v khimicheskoy tekhnike [Mathematical methods in chemical engineering]. Khimiya Publ. Moscow, 1968, p. 823.
2. Branovitskaya S.V. Vychislitel'naya matematika v khimii i khimicheskoy tekhnologii [Computational Mathematics in Chemistry and Chemical Technology]. Vysshaya shkola, Golovnoe Publ. Moscow, 1986, 216 p.
3. Gordon V.O., Sementsov-Ogievskiy M.A. Kurs nachertatel'noy geometrii [Course Descriptive Geometry]. Moscow, 1988, 2002, p. 272.
4. Glagolev N.A. Kurs nomografii [Course nomographs]. Moscow, Vysshaya shkola Publ. 1961. 270 p.
5. Zueva N.M. Nomogrammy MBOU [Nomograms of MBOU]. Moscow, 2013. 15 p.
6. Ivanov G.S. Nachertatel'naya geometriya [Descriptive Geometry]. Moscow, Mashinostroenie Publ., 1995. 224 p.
7. Kolotov S.M., Vestefeev M.F, Mekhaylenko V.E. Nachertatel'naya geometriya [Descriptive Geometry]. Kiev: Vishcha shkola Publ., 1975, p. 262.
8. Krylov N.N., Ikonnikova G.S., Nikolaev V.L., Vasil'ev V.E. Nachertatel'naya geometriya [Descriptive Geometry]. Moscow, Vysshaya shkola Publ., 2000, p. 224.
9. Levkin Yu.S. Vliyanie vibratsionnykh kolebaniy na kharakteristiki struktury dvukhfaznogo potoka [Influence of vibration oscillations on the characteristics of the structure of a two-phase flow]. Izvestiya Vuzov Severo-Kavkazskiy region. Tekhnicheskie nauki [Proceedings of Higher Educational Institutions. The North Caucasus region. Technical sciences]. Novocherkassk, 2016, I. 2, pp. 112-119.
10. Levkin Yu.S. Zavisimost' izmeneniya skorosti dispersnoy i plenochno-dispersnoy ot vibratsionnykh uskoreniy vysokochastotnykh kolebaniy [Dependence of the change in the speed of dispersed and film-dispersed on vibrational accelerations of high-frequency oscillations]. Izvestiya Vuzov Severo-Kavkazskiy region. Tekhnicheskie nauki [Proceedings of Higher Educational Institutions. The North Caucasus region. Technical sciences]. Novocherkassk, 2016, I. 3, pp. 77-82.
11. Levkin Yu.S. Metod opredeleniya vysoty volny psevdo-laminarnogo dvukhfaznogo potoka ot vibratsionnykh vozdeystviy [Method for determining the height of a pseudo-laminar two-phase flow wave from vibrational influences]. Ekologiya i bezopasnost' zhiznedeyatel'nosti promyshlenno-transportnykh kompleksov [Ecology and safety of vital activity of industrial transport complexes]. Tol'yatti, 2011, V. 4, pp. 169-175.
12. Levkin Yu.S. Nekotorye struktury gazozhidkostnykh potokov v pole vibratsii [Some structures of gas-liquid flows in the field of vibration]. Samara, SGAU Publ., 2016.
13. Levkin Yu.S. Psevdolaminarnyy dvukhfaznyy rezhim [Pseudo- laminar biphase regimen]. Samara, SGAU Publ. 2013. 94 p.
14. Levkin Yu.S. Psevdo laminarnyy rezhim [Pseudo laminar regime]. Trudy VI Mezhdunarodnoy nauchno-prakticheskoy konferentsii Neftegazovye tekhnologii [Proceedings of the VI International Scientific and Practical Conference Oil and Gas Technologies]. Samara, 2009, V. 2, pp. 281-286.
15. Lysenko A.V. Postroenie nomogramm po fundamental'noy i prikladnoy khimii [Construction of nomograms on fundamental and applied chemistry]. Yugo-Zapadnyy Gosudarstvennyy universitet [Southwestern State University]. Kursk, 2016. 18 p.
16. Khvatov B.N. Postroenie nomogramm rezhimov lentochnogo shlifovaniya na osnove matematicheskogo planirovaniya eksperimenta [Construction of nomograms of belt grinding modes on the basis of mathematical design of the experiment]. Tambovskiy gosudarstvennyy tekhnicheskiy universitet [Tambov State Technical University]. Tambov, 2007, p. 32.
17. Khripunov N.V., Panyukova E.V. Komp'yuternye tekhnologii v nauke i proizvodstve [Computer technologies in science and production]. Tol'yatti, TGU Publ., 2013, pp. 110-113.
18. Khripunov N.V., Asanova O.Ya., Panyukova E.V. Primenenie EXCEL dlya obrabotki rezul'tatov inzhenernogo eksperimenta [Application of EXCEL for processing the results of engineering experiments]. Provedenie nauchnykh issledovaniy v oblasti mashinostroeniya. Sbornik materialov Vserossiyskoy nauchno-tekhnicheskoy konferentsii s elementami nauchnoy shkoly dlya molodezhi [Carrying out scientific research in the field of mechanical engineering. A collection of materials from the All-Russian Scientific and Technical Conference with elements of a scientific school for young people]. Tol'yatti, TGU Publ. 2009, pp. 111-116.
19. Chetverukhin N.F., Levitskiy V.S., Pryannikova Z.I. Nachertatel'naya geometriya [Descriptive Geometry]. Moscow, Vysshaya shkola Publ., 1963.
