Application of the R-Functions Theory to Problems of Nonlinear Dynamics of Laminated Composite Shallow Shells and Plates: Review
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Дата
2016
Автори
ORCID
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
NTU "KhPI"
Анотація
A review of studies performed using the R-functions theory to solve problems of nonlinear dynamics of plates
and shallow shells is presented. The systematization of results and studies for the problems of free and
parametric vibrations and for problems of static and dynamic stability is fulfilled. Expansion of the developed
original method of discretization for nonlinear movement equations on new classes of nonlinear problems is
shown. These problems include researches of vibrations of antisymmetric laminated cylindrical and spherical
panels; laminated composite shallow shells with variable thicknesss of the layers; functionally graded (FG)
shallow shells and others. The basic issues that arise when using RFM are described.
The future prospects of using the theory of R-functions for solving problems of nonlinear dynamics of plates
and shallow shells with complex form are formulated. First of all this is an algorithms development and
creation of the associated software to apply multi-modes approximations; improvement of approximation tools
for nonlinear problems; investigation of the cracked functionally graded shallow shells; FG panels under
thermal environments; parametric vibrations, static and dynamical stability of the multilayered and FG plates
and shells.
Опис
Ключові слова
R-functions theory, laminated composite, shallow shells and plates, nonlinear vibrations, parametrical vibrations, dynamic stability
Бібліографічний опис
Kurpa L. Application of the R-Functions Theory to Problems of Nonlinear Dynamics of Laminated Composite Shallow Shells and Plates: Review / L. Kurpa // 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. 431-437.