Metadata (abstracts and keywords) for the articles in the journal
Myltsin V.V. Investigation of natural frequencies of vibrations of isotropic geometrically irregular heated plate // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2024. № 3(61). p. 5-17
Author(s):
Myltsin V.V.
Index of UDK:
539.374
DOI:
10.37972/chgpu.2024.61.3.001
Title:
Investigation of natural frequencies of vibrations of isotropic geometrically irregular heated plate
Keywords:
geometrically irregular plate, free oscillations, natural frequency of vibrations, BubnovGalerkin method, Dirac delta function.
Abstracts:
The paper presents a mathematical model of vibrations of an isotropic plate supported by ribs in a stationary temperature field. The continuum model of a geometrically irregular plate is taken as a basis. The system of differential equations, initial and boundary conditions are obtained from the Ostrogradsky-Hamilton principle. The tangential forces included in the thermodynamic potential are found from the momentless condition of the plate. The deflection function is found as a double trigonometric series with variable time coefficients. From the differential equation for these coefficients, the natural frequency of vibration is found, the study of which is carried out at small deflections. The analysis of the natural frequencies of vibration of the plate is carried out for various geometric and thermomechanical parameters.
The contact details of authors:
Vladimir V. Myltsin, postgraduate student, Faculty of Mathematics and Mechanics; e-mail:
vova.myltsin@yandex.ru; https://orcid.org/0009-0007-0746-5512; AuthorID: 15556
Russian
English