Applicatin of R-functions Theory to Nonlinear Vibration Problems of Laminated Shallow Shells with Cutouts
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Дата
2016
ORCID
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
NTU "KhPI"
Анотація
In present work an effective method to research geometrically nonlinear free vibrations of elements of thinwalled
constructions that can be modeled as laminated shallow shells with complex planform is applied. The
proposed method is based on joint use of R-functions theory, variational methods and Bubnov-Galerkin
procedure. It allows reducing an initial nonlinear system of motion equations of a shallow shell to the Cauchy
problem. The mathematical formulation of the problem is performed in a framework of the refined first-order
theory. The appropriate software is created within POLE-RL program system for polynomial results and using
C+ + programs for splines. New problems of linear and nonlinear vibrations of laminated shallow shells with
cutouts are solved. To confirm reliability of the obtained results their comparison with the ones obtained using
spline-approximation and known in literature is provided. Effect o f boundary condition on cutout is studied.
Опис
Ключові слова
R-function theory, Timoshenko’s theory, laminated shallow shells, geometrically nonlinear vibrations
Бібліографічний опис
Kurpa L. Applicatin of R-functions Theory to Nonlinear Vibration Problems of Laminated Shallow Shells with Cutouts / L. Kurpa, G. Timchenko, A. Osetrov // Nonlinear Dynamics–2016 (ND-KhPI2016) : proceedings of 5th International Conference, dedicated to the 90th anniversary of Academician V. L. Rvachev, September 27-30, 2016 = Нелінійна динаміка–2016 : тези доп. 5-ї Міжнар. конф., 27-30 вересня 2016 р. – Kharkov : NTU "KhPI", 2016. – P. 451-455.