Free vibrations of small-scale plates with complex shape based on the nonlocal elasticity theory
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Springer Nature
Анотація
Free vibrations of the orthotropic micro/nanoplate with nonclassical shape are investigated. The considered model is based on the nonlocal elasticity theory. The developed method uses the Ritz method as well as R-function theory for the construction of the system of coordinate functions. The linear frequencies are obtained for a rectangular platewith two cutouts on opposite sides, while the boundary conditions are considered of several types, including simply supported and clamped edges. The small-scale effects for various sizes of cutouts are discussed.
Опис
Ключові слова
free vibrations, nonlocal elasticity theory, R-function theory, Ritz method, linear frequencies
Бібліографічний опис
Kurpa L., Awrejcewicz J., Mazur O., Morachkovska I. Free vibrations of small-scale plates with complex shape based on the nonlocal elasticity theory. Acta Mechanica. 2022. 233. P. 5009–5019. https://doi.org/10.1007/s00707-022-03361-w. URL: https://link.springer.com/article/10.1007/s00707-022-03361-w, (accessed 28.05.2026.).
