- Tytuł:
- Meshless local Petrov-Galerkin method for rotatingRayleigh beam using Chebyshev and Legendre polynomials
- Autorzy:
- Panchore, Vijay
- Powiązania:
- https://bibliotekanauki.pl/articles/2172771.pdf
- Data publikacji:
- 2022
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
meshless local Petrov-Galerkin method
mechanical vibrations
orthogonal polynomials
Finite Element Method
rotating beams
metoda Pietrowa-Galerkina
wibracje mechaniczne
wielomiany ortogonalne
metoda elementów skończonych - Opis:
- The numerical solutions are obtained for rotating beams; the inclusion of centrifugal force term makes it difficult to get the analytical solutions. In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and Legendre polynomials where weak form of meshless local Petrov-Galerkin method is used. The equations which are derived for rotating beams result in stiffness matrices and the mass matrix. The orthogonal polynomials are used and results obtained with Chebyshev polynomials and Legendre polynomials are exactly the same. The results are compared with the literature and the conventional finite element method where only first seven terms of both the polynomials are considered. The first five natural frequencies and respective mode shapes are calculated. The results are accurate when compared to literature.
- Źródło:
-
Archive of Mechanical Engineering; 2022, LXIX, 2; 301--318
0004-0738 - Pojawia się w:
- Archive of Mechanical Engineering
- Dostawca treści:
- Biblioteka Nauki
Artykuł