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Formulation of the Initial Boundery Velue Problems in the Theory of Multilayer Thermoelastic Thin Bodies in Mo ments. Iстатья
- Авторы: Nikabadze M., Moseshvili T., Ulukhanian A., Tskhakaia K., Mardaleishvili N.
- Сборник: Vibration, Control and Stability of Dynamical Systems. Proceedings of 14th International Conference on "Dynamical Systems — Theory and Applications" (http://repozytorium.p.lodz.pl/handle/11652/1759)
- Год издания: 2017
- Место издания: Lodz, Poland
- Первая страница: 345
- Последняя страница: 356
- Аннотация: In the paper the new parametrization of a multilayer thin domain is applied. In contrast with classic approaches, several base surfaces and an analytic method with application of orthogonal polynomial systems are used. Geometric characteristics typical for the proposed parametrizations are considered. Various representations of the equations of motion, the heat influx, the constitutive relations of physical and heat content are given for the new body domain parametrization. The de nition of the kth order moment of a certain quantity with respect to an orthonormal polynomial systems is given. The expressions of moments of rst- and second-order partial derivatives of a certain tensor eld are obtained and this is also done for some important expressions required for constructing diferent variants of the theory of thin body. Various variants of the equations of motion in moments with respect to orthogonal polynomial systems are also obtained. The interlayer conditions are written down under various connections of adjacent layers of a multilayer body. Formulation of the initial boundery velue problems in the theory of multilayer thermoelastic thin bodies in moments are given.
- Добавил в систему: Никабадзе Михаил Ушангиевич
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | MAT311-dsta-2017.pdf | 239,3 КБ | 16 декабря 2017 [NikabadzeMU] |