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Title: | Numerical Evaluation of Frequencies and the Modes of Free Vibrations of Isosceles Triangular Plates with Free Edges |
Authors: | Бойчук, Олена Володимирівна Boichuk, Olena Grigorenko, Alexander Borysenko, Maksym |
Keywords: | coefficients of the vibration mode and boundary conditions finite-element method free vibrations frequencies of vibrations triangular plates Mathematics: General Mathematics Mathematics: Applied Mathematics Mathematics: Applied Mathematics Mathematics: Statistics and Probability |
Issue Date: | 2023 |
Publisher: | Mykolayiv National Agrarian University S. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine |
Citation: | Grigorenko, O. Y., Borysenko, M. Y., & Boychuk, O. V. (2023). Numerical evaluation of frequencies and the modes of free vibrations of isosceles triangular plates with free edges. Journal of Mathematical Sciences (United States), doi:10.1007/s10958-023-06481-3 |
Abstract: | Free vibrations are analyzed for isotropic plates in the form of isosceles triangles. We deduce the formula for the evaluation of the frequencies of free vibrations for plates of regular triangular shape with free edges and compute the coefficients of vibration mode and boundary conditions. The frequencies and modes of free vibrations of the isotropic thin isosceles triangular plates with free edges and different apex angles are computed by the finite-element method. |
URI: | https://dspace.mnau.edu.ua/jspui/handle/123456789/14216 |
Appears in Collections: | Публікації науково-педагогічних працівників МНАУ у БД Scopus Статті (Інженерно-енергетичний факультет) |
Files in This Item:
File | Description | Size | Format | |
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Boychuk-2023-2.pdf | 5,3 MB | Adobe PDF | View/Open |
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