ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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MSC2010 74G70

Strength analysis of composite rotor helicopter blade, having percussive damage, by limit equilibrium theory

I. N. Sidorov1, V. I. Mitryaikin2, A. V. Gorelov3, L. P. Shabalin4

AnnotationAuthors model the limiting state of the helicopter «ANSAT» rotor blade at different flight modes, taking into account the possible damage to the blade in the butt section. The method of variation of elastic constants, based on the limit equilibrium theory and allowing to obtain both upper and lower limits of the limit load, is used to estimate the strength. The stresses in the layers determined in accordance with the deformation law of the associated limit yield surface of these layers, are expressed in terms of the six-dimensional vector of generalized forces. Analysis of the limit stress state is reduced to the analysis of the limit state in the space of the generalized forces. The safety factors of the blade’s butt section depending on the azimuth angle of rotation of the blade are determined for the case when all the generalized forces are proportional to one loading parameter. The possibility of making internal diagnostics of damage areas using x-ray computer tomography is announced. It is proposed to use medical Siemens x-ray tomograph to perform such diagnostics.
Keywordslimit equilibrium theory, safety factor, method of variation of elastic constants, composite rotor blade of the helicopter, damage

1Igor N. Sidorov, Head of the Department of Theoretical and Applied Mechanics and Mathematics, Kazan National Research Technical University n. a. A. N. Tupoleva – KAI (34 Bondarenko St., Kazan 420066, Tatarstan), Dr. Sci (Physics and Mathematics), ORCID:http://orcid.org/0000-0001-6674-9776, sidorovin@mail.ru

2Viktor I. Mitryaikin, Professor of the Department of Mechanical Engineering and Enginering Graphics, Kazan National Research Technical University n. a. A. N. Tupoleva – KAI (34 Bondarenko St., Kazan 420066, Tatarstan), Dr. Sci (Technical Sciences), ORCID: http://orcid.org/0000-0002-3805-910X, vmitryaykin@bk.ru

3Alexey V. Gorelov, Senior Lecturer of the Instrument Engineeering Department, Chistopol Branch, Vostok, Kazan National Research Technical University n. a. A. N. Tupoleva – KAI 34 Bondarenko St., Kazan 420066, Tatarstan), Ph.D. (Technical Sciences), ORCID: http://orcid.org/0000-0003-1300-5110, a.gorelovkai@ yandex.ru

4Leonid P. Shabalin, Research, Department of Aicraft Production, Kazan National Research Technical University n. a. A. N. Tupoleva – KAI (34 Bondarenko St., Kazan 420066, Tatarstan), Ph.D. (Technical Sciences), ORCID: http://orcid.org/0000-0002-6246-7699, leonid.shabalin@gmail.com

Citation: I. N. Sidorov, V. I. Mitryaikin, A. V. Gorelov, L. P. Shabalin, "[Strength analysis of composite rotor helicopter blade, having percussive damage, by limit equilibrium theory]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,21:3 (2019) 343–352 (In Russian)

DOI 10.15507/2079-6900.21.201903.343-352