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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v30.i4-5.80
pages 73-78

Computational Method for Determination of Inertia Moments of Revolution Bodies with Respect to Geometrical Axes

Gennadiy M. Bakan
Training and Complex "Institute of Applied System Analysis" Ministry of Education and Science of Ukraine and National Academy of Sciences of Ukraine at National Technical University of Ukraine"Kiev Polytechnical Institute",Kiev
I. F. Radchenko
Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev


An analytic method for determination of inertia moments is proposed in which an object is given in the form of an implicit function of coordinates. This method is considered for complex geometrical objects in the case where their mathematical models are given by the R−function. The method proposed is illustrated by a specific example.


  1. Favorin, M. V., Momenty inertsii tel (Inertia Moments of Bodies).

  2. Gernet, M. M. and Ratobyl'skii, V. F., Opredelenie momentov inertsii (Determination of Inertia Moments).

  3. Corn, G. and Com, T., Spravochnik po matemetike dlya nauchnykh rabotnikov i inzhenerov (A Handbook of Mathematics for Scientists and Engineeres).

  4. Bakan, G. M. and Radchenko, I. F., Application of R-functions to the Solution of Problems of Spatial Vizualization of Geometrical Objects.

  5. Rvachev, V. L., Teoriya R-funktsii i nekotorye ee prilozheniya (Theory of R-Functions and Certain Its Applications).

  6. Dwhite, G. V., Tablitsy integralov i drugie matematicheskie formuly (Tables of Integrals and Other Mathematical Formulas).

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