Free vibration analysis of FGM shell with complex planform in thermal environments
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Дата
2019
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
Wydawnictwo Politechniki Łódzkiej
Анотація
Summary. In the present study free vibrations of FGM shallow shells of an arbitrary planform in thermal environment are investigated via R-functions method (RFM). First-order shear deformation theory of shallow shells is employed. Material properties are assumed to be temperature-dependent and expressed as nonlinear functions of temperature. The generic material properties are not only functions of temperature, but also functions of thickness direction. It is supposed that material properties vary through thickness according to a power-law distribution of the constituent’s volume fraction. The developed method is based on the combined applications of the R-functions theory, variational Ritz’s method. A comparison of the obtained results with available ones is carried out for rectangular plates and shallow shells. Vibration of shell panels with complex planform and different boundary conditions including mixed ones are studied. Solution structures and related admissible functions for shells with complex planform have been constructed by the R-functions theory. The effect of the temperature rise, geometry of the shell, material properties and constituent volume fraction index is examined.
Опис
Ключові слова
R–functionstheory, FGM shallow shells, free vibrations, thermal environment, теорія R–функцій,, FGM мілкі оболонки, вільні коливання, теплове середовище
Бібліографічний опис
Awrejcewicz J. Free vibration analysis of FGM shell with complex planform in thermal environments / Jan Awrejcewicz, Lidiya Kurpa, Tetyana Shmatko // Dynamical Systems Theory and Applications : abstracts of the 15th International Conference DSTA 2019, December 2-5, 2019, Poland, Lodz / editors J. Awrejcewicz [et al.], – Łódź : Wydawnictwo Politechniki Łódzkiej, 2019. – P. 207.