- Tytuł:
- Galerkin method for bending analysis of beams on non-homogeneous foundation
- Autorzy:
- Musa, A., E., S.
- Powiązania:
- https://bibliotekanauki.pl/articles/122566.pdf
- Data publikacji:
- 2017
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
Galerkin method
non-homogenous foundation
analysis of beams
beam on elastic foundation
metoda Galerkina
fundament niejednorodny
zginanie belek - Opis:
- In this study, a mathematical formulation for static bending analysis of a beam on a non-homogenous foundation is presented. The proposed method offers an accurate procedure for analysis and design of a beam resting on a varying soil bed. The Winkler foundation model is used and presented using discontinuous functions to account for the sudden change in the soil stiffness coefficient. The solution of the governing differential equation is then obtained using the Galerkin method with the help of approximation functions that satisfy the boundary conditions. A systematic approach for setting the approximation functions for different support and soil conditions is suggested. The accuracy of the proposed method is verified through two numerical examples, and they showed an excellent agreement with the finite element method (FEM) and available literature results.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 3; 61-72
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł