- Tytuł:
- Mathematical model and method of determination of amplitude-frequency characteristics of corrugated cylindrical shells for geometrically nonlinear vibrations
- Autorzy:
-
Marchuk, Mykhailo
Goriachko, Taras
Kindratskyy, Bohdan
Pakosh, Vira - Powiązania:
- https://bibliotekanauki.pl/articles/2146612.pdf
- Data publikacji:
- 2020
- Wydawca:
- Politechnika Poznańska. Instytut Mechaniki Stosowanej
- Tematy:
-
corrugated shell
geometrically nonlinear vibrations
mathematical model
generalized method of perturbations
amplitude-frequency characteristics
powłoka falista
drgania geometrycznie nieliniowe
model matematyczny
uogólniona metoda perturbacji
charakterystyka amplitudowo-częstotliwościowa - Opis:
- On the basis of spatial geometrically nonlinear theory of elasticity by using quadratic approximations for components of the vector of displacements along the normal coordinate to the median surface is developed a new mathematical model of nonlinear dynamics of cylindrical shells with corrugated configuration for median surface. The perturbation method for the solution of systems of nonlinear differential equations for problems of determination of amplitude-frequency characteristics is generalized. In a combination of finite element and generalized perturbations methods, a new methodology for solving problems of free geometrically nonlinear vibrations of shells with complex guide geometry was developed and verified. With its help the influence of geometrical parameters of corrugating at circular coordinate on the main frequency of the elongated cylindrical panel is investigated.
- Źródło:
-
Vibrations in Physical Systems; 2020, 31, 3; art. no. 2020316
0860-6897 - Pojawia się w:
- Vibrations in Physical Systems
- Dostawca treści:
- Biblioteka Nauki
Artykuł