### On electronic educational resource to search for the most significant causes of self-excitation of oscillation of complex mechanical systems

#### Abstract

The modern approach to university education aims at developing an integrated system of competences: cultural, generic professional and professional, which characterize professional qualities of a graduate. In forming specifically professional competences the main role is played by taking special courses, performing laboratory works, doing practical assignments and writing the final qualification paper. In order to improve the quality and raise the teaching standards at the Nizhny Novgorod university named after N.I. Lobachevsky electronic educational resources are actively used. In this article, a part of an electronic educational resource is presented in the form of a program complex intended for finding the most significant reasons of oscillation self-excitation in complex mechanical systems. The program complex is written in C++ programming language using the visual programming environment Borland C++ Builder. The article describes physical approaches and search techniques for the most significant reasons of oscillation self-excitation in mechanical systems based on the concept of the geometrical scheme of connections and the theory of sensitivity. Understanding reasons for self-excitation of vibrations at the stage of the choice of idealization and the creation of computation schemes is important not only for coming up with adequate mathematical models, but also later for determining the strategy for creation at the early design stage of new equipment samples that have improved dynamic characteristics. Application of the described technique allows deeper understanding of the physical processes occurring in self-oscillating systems and helps make justified decisions when studying such complex objects. The algorithm realized in a program complex is the result of the analysis of a mathematical model of a certain class of multidimensional oscillating systems that can be viewed as several interconnected oscillators. It includes the following: forming matrices of masses, rigidity, dissipation, mutual and directed connections of the mathematical model that describes self-excitation of oscillations; creating the geometrical scheme of connections; computing eigenfrequencies and forms of oscillations, finding potentially unstable forms of oscillations; computing sensitivity functions for cycles and negative friction; discovering sensitive cycles and negative friction and determining their share of contribution to work of active forces increasing the total energy of the system.

The problem of investigating reasons for oscillation self-excitation in the dynamic system of the PAZ automobile is considered as an example.#### Full Text:

PDF (Russian)#### References

Using SEFI framework for modernization of requirements system for mathematical education in Russia / Zakharova, I., Kuzenkov, O., Soldatenko, I., Yazenin, A., Novikova, S., Medvedeva, S., Chukhnov, A. // Engineering Education on Top of the World: Industry-University Cooperation, SEFI 2016 44th Annual Conference of the European Society for Engineering Education. – 2016. – Tampere, Finland. – P. 15.

Modernization of math-related courses in engineering education in Russia based on best practices in European and Russian universities / Soldatenko, I., Kuzenkov, O., Zakharova, I., Balandin, D., Biryukov, R., Kuzenkova, G., Yazenin, A., Novikova, S. // Engineering Education on Top of the World: Industry-University Cooperation, SEFI 2016 44th Annual Conference of the European Society for Engineering Education. – 2016. – Tampere, Finland. – P. 16.

Bedny A., Erushkina L., Kuzenkov O. Modernising educational programmes in ICT based on the Tuning methodology // Tuning Journal for Higher Education. – 2014. – V. 1. – № 2. – P. 387.

Zakharova I., Kuzenkov O. Experience in implementing the requirements of the educational and professional standarts in the field if ICT in Russian education // CEUR Workshop Proceedings Selected Papers of the 11th International Scientific-Practical Conference Modern Information Technologies and IT-Education, SITITO 2016. - 2016. - P. 17-31

Kuzenkov O.A., Kuzenkova G.V., Birjukov R.S. Razrabotka fonda ocenochnyh sredstv s ispol'zovaniem paketa Math-Bridge // Obrazovatel'nye tehnologii i obshhestvo. – 2016. – V. 19. – № 4. – P. 465-478.

Kuzenkov O.A., Tihomirov V.V. Ispol'zovanie metodologii "Tuning" pri razrabotke nacional'nyh ramok kompetencij v oblasti IKT // Sovremennye informacionnye tehnologii i IT-obrazovanie. – 2013. – № 9. – P. 77-87.

Gergel' V.P., Kuzenkov O.A. Razrabotka samostojatel'no ustanavlivaemyh obrazovatel'nyh standartov Nizhegorodskogo gosuniversiteta v oblasti informacionno-kommunikakcionnyh tehnologij // Shkola budushhego. – 2012. – № 4. – P. 100-105.

Kuzenkov O.A., Zakharova I.V. MATHEMATICAL PROGRAMS MODERNIZATION BASED ON RUSSIAN AND INTERNATIONAL STANDARDS // Современные информационные технологии и ИТ-образование. 2018. Т. 14. № 1. С. 233-244.

Basalin P. D., Belousova I. I. Interactive forms of education in the educational process. Bulletin of Nizhny Novgorod University. N. And. Lobachevsky. - 2014. - №3-4. - P. 18-21.

Basalin P.D., Kumagina E.A., Nejmark E.A., Timofeev A.E., Fomina I.A., Chernyshova N.N. IT-education using intellligent learning environments // Sovremennye informacionnye tehnologii i IT-obrazovanie. – 2017. – V. 13. – № 4. – P. 105-111. URL: http://sitito.cs.msu.ru/index.php/SITITO/article/view/312/256

Basalin P.D., Timofeev A.E. Obolochka gibridnoj intellektual'noj obuchajushhej sredy produkcionnogo tipa // Educational Technology & Society. – 2018. – V. 21. – № 1. – P. 396-405. – ISSN 1436-4522. URL: http://ifets.ieee.org/russian/depository/v21_i1/pdf/12.pdf

Basalin P.D., Bezruk K.V. Hybrid intellectual decision making support system architecture // Nejrokomp'jutery: razrabotka, primenenie. – 2012. – № 8. – P. 26-34.

Makarov E. M. Using Java to test competencies in geometric modeling / / Educational technologies and society. - 2018. - vol. 21, № 1. — P. 494-505. URL: https://elibrary.ru/item.asp?id=32253190.URL к полному тексту:https://www.j-ets.net/ETS/russian/depository/v21_i1/pdf/20.pdf

Makarov E., Spitters B. The Picard Algorithm for Ordinary Differential Equations in Coq // Interactive Theorem Proving. ITP 2013. Vol. 7998 / ed. by S. Blazy, C. Paulin-Mohring, D. Pichardie. — Berlin, Heidelberg: Springer, 2013. — Pp. 463–468. — (Lecture Notes in ComputerScience). — URL: https://link.springer.com/chapter/10.1007/978-3-642-39634-2_34.

Neimark Y. I., Dynamic systems and controllable processes. - Moscow: Science, 1978. 336 p.

Neymark Yu. I., Fufaev N. Ah. Dynamics of nonholonomic systems. - M: Science, 1967, 520 p.

Igumnov L.A., Metrikin V.S., Grezina A.V., Panasenko A.G. THE EFFECT OF DRY FRICTION FORCES ON THE PROCESS OF DIELECTRIC WAFER GRINDING. // Proceedings of the: Vibroengineering Procedia 22, Dynamics of Strongly Nonlinear Systems.Ser. "22nd International Conference on Vibroengineering" 2016. С. 501-505.

Grezina A.V. A technique for constructing simplified mathematical models using the geometric scheme of connections. // Vestnik Nizhegorodskogo Universiteta im. N.I. Lobachevsky. Series: Mathematical modeling and optimal control. 2003. № 1. P. 107-114.

Grezina A.V. Mathematical modeling of the dynamics of the system of electrode holders of arc steel-smelting furnaces // Bulletin of the Saratov State Technical University. 2004. T. 4. No. 1 (5). Pp. 5-10.

Gorodetsky Yu.I., Grezina A.V. Investigation of the stability of the turning of long shafts with various technological adaptations // Izvestiya Vysshikh Uchebnykh Zavedenii. Mechanical engineering. 1998. № 7-9. 126.

Bode G. The theory of circuits and the design of amplifiers with feedback. Publishing house inostr. lit., 1948. 112 p.

Rosenvasser E. N., Yusupov RM Sensitivity of automatic control systems. M.: Science. 1981. 464 p.

Ivanovsky R. I. Applied aspects of the theory of sensitivity. The journal Nauchno-tekhnicheskie Vedomosti SPbGPU. Informatics. Telecommunications. Management. No. 6-1. 2011. P. 102-110.

Gorodetsky V.I., Zakharin F.M., Rozenwasser E. N., Yusupov RM Methods of the theory of sensitivity in automatic control. L: Energy. 1971. 345 p.

Eslami, M. Theory of sensitivity in dynamic systems. An introduction. Springer-Verlag, Berlin, 1994. 600 pp

Chan, K.; Tarantola, S.; Saltelli, A.; Sobol', I. M. In Sensitivity Analysis; Chan, K., Scott, M., Eds.; John Wiley & Sons, Chichester, 2000; p 167

### Refbacks

- There are currently no refbacks.

Abava Absolutech IT-EDU 2019

ISSN: 2307-8162