- Tytuł:
- The effect of quintic nonlinearity on the investigation of transversely vibrating buckled Euler-Bernoulli beams
- Autorzy:
-
Sedighi, H. M.
Reza, A.
Zare, J. - Powiązania:
- https://bibliotekanauki.pl/articles/279371.pdf
- Data publikacji:
- 2013
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
quintic nonlinearity
He’s max-min approach
amplitude-frequency formulation
nonlinear vibration
buckled beam - Opis:
- A new formulation of vibrations of the axially loaded Euler-Bernoulli beam with quintic nonlinearity is investigated in the present study. The beam nonlinear natural frequency as a function of the initial amplitude is obtained. In this direction, modern powerful analytical methods namely He’s Max-Min Approach (MMA) and Amplitude-Frequency Formulation (AFF) are employed to approximate the frequency-amplitude relationship of the beam vibrations. Afterwards, it is clearly shown that the first term in the series expansions is sufficient to produce a highly accurate approximation of the nonlinear system. Finally, preciseness of the present analytical procedures is evaluated in contrast with numerical calculation methods.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2013, 51, 4; 959-968
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł