Научная электронная библиотека ULRICH'S Periodicals Directory

Сибирский государственный университет
науки и технологий имени академика М.Ф. Решетнева

Сибирский аэрокосмический журнал
ISSN 2712-8970 (Print) ISSN 2782-5760 (on-line)

Сведения об образовательной организации

UDK 681.828
NUMERICAL ALGORITHM FOR OPTIMIZATION OF A PROCESS OF CONICAL FLYING MODEL EQUILIBRATION ON A VERTICAL BALANCING STAND
A. V. Klyuchnikov
Russian Federal Nuclear Centre – All-Russia Research Institute of Technical Physics named after academician E. I. Zababakhin; P.b. 245, 13, Vassilyeva Str., Snezhinsk, 456770, Russi􀉚n Federation
High complexity and cost of developing flying models necessitate the use of such design and production techniques that would ensure the best flight technical and technological characteristics of the model also would rise of its operation effectiveness. These techniques include the experimental control method of flying model’s mass-inertia asymmetry parameters during final assembly of the model. The problem of process optimization in bringing parameters of massinertia asymmetry of the conical flying model to specified standards is set and solved for the process of balancing in dynamic mode in the article. The model as a component of prefabricated rotor is being balanced on a low-frequency dynamic vertical stand on gas bearings. As a criterion of optimization the minimum center-mass shift from geometrical axis of the model is taken at simultaneous maintaining the pre-set standard for the angle of deviation of principal longitudinal centroidal axis of inertia relative to the above axis. The work relies on engineering model, developed from refined mathematical model of balancing the conical body of rotation, which the only correction plane is designed to be positioned close to cone face, away from the center mass of the body. This engineering model describes all stages of the process of bringing mass-inertia asymmetry parameters to the values not exceeding specified limiting values. Before balancing experiment the weigh, longitudinal center of mass and inertia moments of the flying model have to be controlled with use of measurement equipment. Balancing algorithm, easy-to-realized by modern computers, was analyzed. Numerical illustration of balancing is given. The engineering model enables omitting intermediate steps of balancing, reducing them to one step (as a rule), and shortening the balancing time, as well. In one step of balancing the engineering model permits either bringing parameters of mass-inertia asymmetry of the flying model to specified standards, or diagnosing impossibility of attaining the specified standards with available design of flying model. Application of methods and instruments of dynamic balancing allows increasing accuracy in both defining and assuring requirements for the parameters of mass-inertia asymmetry as compared with equipment based on methods of static balancing, and, hence increasing efficiency of flying models operation. Design algorithm and balancing method are experimentally tested at newly-designed vertical dynamic stand on conical gas bearings.
Keywords: balancing stand, rotation body, axis of symmetry, axis of inertia, moment of inertia, mass distribution, correction plane, misbalance, algorithm, balancing calculation, step of balancing.
References

1. Gernet М. М., Ratobylskiy V. F. Opredelenie momentov inertsii [Inertia moments’ determining]. Moscow, Mashinostroenie Publ., 1969, 247 p.

2. Shchepetilnikov V. A. Osnovy balansirovochnoi tekhniki. Tom 1 [Fundamentals of balancing technique. Vol. 1]. Moscow, Mashinostroenie Publ., 1975, 527 p.

3. Klyuchnikov A. V. [Design, calculation and being optimal the process of technological ensure of counterbalance flying models’ normative]. Materialy IX Vserossiyskoy nauchno-tekhnicheskoy konferentsii “Novye tekhnologii” [Proc. 9th Russ. Technol. Conf. “New Technologies”]. Miass, 2012, P. 28–38 (In Russ.).

4. Matveev E. V. [Trends in development of technology and equipment for measure of inertia characteristics of RCT products]. Materialy IX Vserossiyskoy nauchno-tekhnicheskoy konferentsii “Novye tekhnologii” [Proc. 9th Russ. Technol. Conf. “New Technologies”]. Miass, 2012, P. 44–52 (In Russ.).

5. Dmitriyevskii А. А., Lysenko L. N., Bogodistov S. S. Vneshnyaya ballistika [External ballistics]. Moscow, Mashinostroenie Publ., 1991, 640 p.

6. Ilinykh V. V., Klyuchnikov A. V., Mihailov E. F., Timoshchenko A. G. [Technological support of quality during the manufacture of hypersonic uncontrollable flying models]. Vestnik SibGAU. 2013, No. 3 (49), P. 191–196 (In Russ.).

7. Andreev S. V., Klyuchnikov A. V., Mihailov E. F. [Prospects of application of dynamic counterbalancing method for testing of flying machine’s mass-inertia asymmetry parameters]. Trudy XVIII Mezhdunarodnoy nauchnoy konferentsii “Reshetnevskie chteniya” [Proc. 18th Int. Technol. Conf. “Reshetnev readings”]. Krasnoyarsk, 2014, Part 1, P. 8–10 (In Russ.).

8. Klyuchnikov A. V. [Measure-computing and control system for testing of conical rotors‘ masses asymmetry characteristics]. Materialy XХХI Vserossiyskoy nauchno-tekhnicheskoy konferentsii “Nauka i tekhnologii” [Proc. 31st Russ. Technol. Conf. “Science & Tehnologies”]. Miass, 2011, P. 80–90 (In Russ.).

9. Klyuchnikov A. V., Shagimuratov M. D. [The principles of construction and the structure of the system of diagnostics of asymmetry in distribution of mass of the aircraft]. Nauchnotekhniceskiy vestnik Povolzhya, 2015, No. 2, P. 141–143 (In Russ.).

10. Glazyrina L. M., Karpovitskiy M. S., Klyuchnikov A. V., Malgin A. I., Smirnov G. G., Fomin Yu. P. Balansirovochnyi stend s vertikalnoi osyu vrashcheniya [Balancing stand with vertical axis of gyration]. Patent RF, No. 2292533, 2007.

11. Abyshev N. A., Klyuchnikov A. V., Mikhailov E. F., Chertkov M. S. [Stand for precise non-contactable counterbalancing in dynamic regimen of conical rotors]. Trudy XIX Mezhdunarodnogo simpoziuma “Nadyozhnost i kachestvo”. [Proc. 19th Int. Technol. Symp. “Reliability & Quality”]. Penza, 2014, Vol. 2, P. 234–236 (In Russ.).

12. Abyshev N. A., Andreev S. V., Klyuchnikov A. V. [Features of a stand for diagnostics the mass-inertia characteristics of flying machines]. Aviakosmicheskoe priborostroenie. 2015, No. 1, P. 39–45 (In Russ.).

13. Glazyrina L. M., Karpovitskiy M. S., Klyuchnikov A. V., Malgin A. I., Smirnov G. G., Fomin Yu. P. Sposob balansirovki rotora [Rotor’s counterbalancing method]. Patent RF, No. 2292534, 2007.

14. Klyuchnikov A. V. Sposob nastroiki balansirovochnogo stenda dlya opredeleniya parametrov masso-inertsionnoy asimmetrii rotorov [Method of adjusting a counterbalance machine for determination of rotors’ mass-inertia parameters]. Patent RF, No. 2453818, 2013.

15. Klyuchnikov A. V. [Turning of a balancing stand: To the question about rising of precision during body’s mass-inertia parameters measuring]. Trudy III Vserossiyskoy nauchno-prakticheskoy konferentsii “Informatsionno-izmeritelnaya tekhnika i tekhnologii” [Proc. 3rd Russ. Technol. Conf. “Information and Measuring Technique and Technologies”]. Tomsk, 2012, P. 52–55 (In Russ.).

16. Andreev S. V., Klyuchnikov A. V., Lysykh A. V., Mikhailov E. F. [Calibrate operations during detail’s module counterbalancing on a non-adjusted dynamic counterbalance machine]. Trudy XVIII Mezhdunarodnogo simpoziuma “Nadyozhnost i kachestvo”. [Proc. 18th Int. Technol. Symp. “Reliability & Quality”]. Penza, 2013, Vol. 2, P. 129–131 (In Russ.)

17. Klyuchnikov A. V. [The way of elimination of influence of industrial equipment on results of measurements in the course of dynamic balancing of flying vehicle]. Trudy XIX Mezhdunarodnoy nauchnoy konferentsii “Reshetnevskie chteniya” [Proc. 19th Int. Technol. Conf. “Reshetnev readings”]. Krasnoyarsk, 2015, Part 1, P. 21–23 (In Russ.).

18. Klyuchnikov A. V. [The specified mathematical model of an assessment and ensuring parameters of massinertial asymmetry of the lengthy rotor module]. Trudy XVII Mezhdunarodnogo simpoziuma “Nadyozhnost i kachestvo”. [Proc. 17th Int. Technol. Symp. “Reliability & Quality”]. Penza, 2013, Vol. 1, P. 224–227 (In Russ.).

19. Klyuchnikov A. V. [Development and improvement of the algorithm monoplanar balancing dynamically flying model]. Vestnik SibGAU. 2015, Vol. 16, No. 2, P. 411–416 (In Russ.).

20. Klyuchnikov A. V. Sposob balansirovki rotora v odnoy ploskosti korrektsii [Method of rotor’s counterbalancing in singular place for correction]. Patent RF, No. 2499985, 2007.


Klyuchnikov Aleksandr Vassilyevich – Cand. Sc., head of design-engineering department, Russian Federal Nuclear Centre – All-Russia Research Institute of Technical Physics named after academician E. I. Zababakhin. E-mail: a.klyuchnikov@bk.ru.