An Approximate Analytical Solution of Vibration Problem for Imperfect FGM Shallow Shells with Time Dependent Thickness under Static Loading
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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
This paper deals with research of nonlinear vibration of imperfect shallow shells made of functionally-graded
materials (FGM) under static and dynamic loadings. The material properties are changing in the thickness
direction according to the given power law distribution and the non-linear strain-displacement relationships
based on the von Karman theory for moderately large normal deflections. Initial nonlinear system of
differential equations transforms to singular ordinary differential equations with variable in time coefficients,
which is solved by hybrid perturbation and WKB- Galerkin methods in three steps. Comparison of numerical
integration of initial equation and asproximate analytical solutions are given.
Опис
Ключові слова
asymptotic approach, nonlinear dynamic problem, FGM shallow shells, time dependent parameters
Бібліографічний опис
Gristchak V. Z. An Approximate Analytical Solution of Vibration Problem for Imperfect FGM Shallow Shells with Time Dependent Thickness under Static Loading / V. Z. Gristchak, Yu. A. Fatieieva // 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. 298-303.