- Tytuł:
- Dynamic behaviour of axially functionally graded beam resting on variable elastic foundation
- Autorzy:
- Kumar, Saurabh
- Powiązania:
- https://bibliotekanauki.pl/articles/1845017.pdf
- Data publikacji:
- 2020
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
free vibration
variable elastic foundation
axially functionally graded beams
Euler-Bernoulli beam
Timoshenko beam
wolne wibracje
podłoże zmiennie sprężyste
belka Eulera-Bernoulliego
wiązka Tymoszenko - Opis:
- In this paper, a comprehensive study is carried out on the dynamic behaviour of Euler–Bernoulli and Timoshenko beams resting on Winkler type variable elastic foundation. The material properties of the beam and the stiffness of the foundation are considered to be varying along the length direction. The free vibration problem is formulated using Rayleigh-Ritz method and Hamilton’s principle is applied to generate the governing equations. The results are presented as non-dimensional natural frequencies for different material gradation models and different foundation stiffness variation models. Two distinct boundary conditions viz., clamped-clamped and simply supported-simply supported are considered in the analysis. The results are validated with existing literature and excellent agreement is observed between the results.
- Źródło:
-
Archive of Mechanical Engineering; 2020, LXVII, 4; 451-470
0004-0738 - Pojawia się w:
- Archive of Mechanical Engineering
- Dostawca treści:
- Biblioteka Nauki
Artykuł