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Abstract: In the work the mathematical model of micropolar meshed cylindrical shells oscillations under the action of the vibrational and temperature effects is constructed. The shell material is an elastic orthotropic homogeneous Cosserat pseudocontinuum with constrained rotation of particles. The Duhamel � Neumann�s law was adopted. The mesh structure is taken into account according to the model of G. I. Pshenichnov, geometric nonlinearity according to Theodor von Karman theory. The equations of motion, boundary and initial conditions are obtained from the Ostrogradsky � Hamilton variational principle based on the Tymoshenko kinematic model. The constructed a mathematical model will be useful, among other things, in the study of the behavior of carbon nanotubes under various operating conditions.

Key words: mesh structure cylindrical shells, mathematical modeling, thermodynamics, carbon nanotube.

Funding agency	Grant number
Russian Science Foundation	22-21-00331
This work was supported by the Russian Science Foundation (project No. 22-21-00331).

Received: 12.10.2022
Accepted: 19.09.2023

Citation: E. Yu. Krylova, “Mathematical model of orthotropic meshed micropolar cylindrical shells oscillations under temperature effects”, Izv. Saratov Univ. Math. Mech. Inform., 24:2 (2024), 231–244

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Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles