- Tytuł:
- Effects of non-classical boundary conditions on the free vibration response of a cantilever Euler-Bernoulli beams
- Autorzy:
-
Afras, Abderrachid
El Ghoulbzouri, Abdelouafi - Powiązania:
- https://bibliotekanauki.pl/articles/2174479.pdf
- Data publikacji:
- 2023
- Wydawca:
- Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
- Tematy:
-
free vibration
natural frequency
boundary conditions
DTM
non-dimensional stiffness
drgania swobodne
częstotliwość drgań
warunki brzegowe - Opis:
- In this article, the problem of the free vibration behavior of a cantilever Euler-Bernoulli beam with various non-classical boundary conditions, such as rotational, translational spring, and attached mass is investigated. For describing the differential equation of the system. An analytical procedure is proposed firstly, and a numerical method based on the differential transform method DTM is developed in order to validate the obtained results. A parametric study for various degenerate cases is presented with the aim to analyze the influence of rotational stiffness, vertical stiffness, and mass ratio on the free vibration response of the beam, particularly on its modal characteristics. The results show that the non-classical boundary conditions significantly affect the natural frequency and mode shapes of the studied beam system in comparison to the case of a classical boundary conditions such as Simply supported, clamped-clamped, etc. The comparison between the obtained results based on the proposed analytical solution and numerical scheme, and those available in the literature shows an excellent agreement.
- Źródło:
-
Diagnostyka; 2023, 24, 1; art. no. 2023107
1641-6414
2449-5220 - Pojawia się w:
- Diagnostyka
- Dostawca treści:
- Biblioteka Nauki
Artykuł