Investigation of Geometrically Nonlinear Vibrations of Laminated Shallow Shells with Layers of Variable Thickness by Meshless Approach
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Дата
2013
Автори
ORCID
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
Точка
Анотація
Geometrically nonlinear vibrations of laminated shallow shells with layers of variable thickness are studied.
Nonlinear equations of motion for shells based on the first order shear deformation and classical shells theories
are considered. In order to solve this problem we use the numerically-analytical method proposed in work [1].
Accordingly to this approach the initial problem is reduced to consequences of some linear problems including
linear vibrations problem, special elasticity ones and nonlinear system of ordinary differential equations in
time. The linear problems are solved by the variational Ritz’ method and Bubnov-Galerkin procedure combined
with the R-functions theory [2]. To construct the basic functions that satisfy all boundary conditions in case of
simply-supported shells we propose new solutions structures. The proposed method is used to solve both test
problems and new ones.
Опис
Ключові слова
R-functions method, laminated shallow shells, nonlinear vibration, variable thickness
Бібліографічний опис
Kurpa L. Investigation of geometrically nonlinear vibrations of laminated shallow shells with layers of variable thickness by meshless approach / L. Kurpa, T. Shmatko // Nonlinear Dynamics–2013 : proceedings of 4th International Conference, June 19-22, 2013, Sevastopol / National Technical University "Kharkov Polytechnic Institute" [et al.]. – Kharkov : Точка, 2013. – P. 277-283.