POSTULATION AND BUILDING OF A NUMERICAL ALGORITHM FOR SOLVING THE PROBLEMS OF THE DYNAMICS OF THE THEORY OF CONICAL SHELLS IN NONORTHOGONAL COORDINATE SYSTEM

ABSTRACT

Meish Yu.A., Meish V.F. Postulation and building of a numerical algorithm for solving the problems of the dynamics of the theory of conical shells in nonorthogonal coordinate system. Visnyk National Transport University. Series «Technical sciences». Scientific and Technical Collection. - Kyiv. National Transport University, 2020. - Issue 1 (46).

The paper presents the formulation and numerical algorithm for solving problems of the dynamics of the theory of conical shells in a non-orthogonal coordinate system.

The object of the study are conical shells, the equations of which are represented in non-orthogonal coordinate system.

Purpose of the work is to formulate and construct a numerical algorithm for solving the problems of the dynamics of conical shells in a non-orthogonal coordinate system.

The methods of research include the basic principles of the theory of shells to Tymoshenko's type and numerical methods.

The formulation of problems and a numerical algorithm for studying the dynamic behavior of conical shells in a non-orthogonal coordinate system are considered.

The results obtained in the work can be used in the design of elements of shell structures in the rocket, aircraft and shipbuilding industries.

KEYWORDS: CONIC SHELL, DYNAMIC PROCESSES, NON-ORTHOGONAL COORDINATE SYSTEM, NUMERICAL METHODS

REFERENCES

. Golovko K.G. (2012) Dinamika neodnorodnyih obolochek pri nestatsionarnyih nagruzkah: monografiya [Dynamics of inhomogeneous shells under nonstationary loads : monograph ed. acad. of NAS of Ukraine A.N. Guz] / K.G. Golovko, P.Z. Lugovoy, V.F. Meysh; pod red. akad NAN Ukrainyi A.N. Guzya. - K.: Izd. poligr. tsentr «Kievskiy un-t», 541 p. [in Russian]

  1. MatematichnI modelI prikladnoyi mehaniki: navchalniy posibnik posibnyk (2012) [Mathematical models of applied mechanics: primary school student] / P.O. Steblyanko, T.V. Krilova, V.F. Meish, Yu.A. Meish - Dniprodzerzhinsk: DDTU, 413p. [in Ukrainian]
  2. Novozhilov V.V. (1991) Lineynaya teoriya tonkih obolochek [Linear theory of thin shells] / V.V. Novozhilov, K.F. Chernyih. - L.: Politehnika, 656 p. [in Russian]
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  4. Teoriya obolochek s uchetom poperechnogo sdviga (1977) [The theory of shells, taking into account the transverse shear] / pod. red. K.Z. Galimova. - Kazan: Izd-vo Kazanskogo un- ta, 212 p. [in Russian]
  5. Naval I.K. (1986) Nestatsionaryie volnyi v deformiruemyih seredah [Unsteady waves in deformable media] / I.K. Naval, V.I. Patsyuk, V.K. Rimskiy. - Kishenev: «Shtiintsa», 236 p. [in Russian]

AUTHOR

Meish Yuliya Anatolievna, D. Eng., associate professor, National Transport University, Higher mathematics department professor, e-mail: juliameish@gmail.com, tel. +380954035196, Ukraine, 01010, Kyiv, Kikvidze str. 42, of. 502, orcid.org / 0000-0001-7492-700X.

Meish Vladimyr Fedorovich, Doctor of Mathematics, professor, Institute of Mechanics of the National Academy of Sciences of Ukraine, Main researcher, e-mail: vfmeish@gmail.com, tel. +380502519697, Ukraine, 03057, Kyiv, Nesterov str., 3, orcid.org / 0000-0003-4141-7008.

REVIEWER

Lugovoy P.Z., D. Eng., professor, S.P Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine, Structure mechanics of thin - walled structures department head professor, Kyiv, Ukraine.

Loza I.A., Doctor of Mathematics, professor, National Transport University, Head of Department of Theoretical Mechanics, Kiev, Ukraine.

Article language: Ukrainian

Open Access: http://publications.ntu.edu.ua/visnyk/46/211.pdf

Print date: 15.04.2020

Online publication date: 27.10.2020

 

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