The effect of quintic nonlinearity on the investigation of transversely vibrating buckled Euler-Bernoulli beams

• Autorzy: Sedighi H. M. , Reza A. , Zare J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

quintic nonlinearity; He’s max-min approach; amplitude-frequency formulation; nonlinear vibration; buckled beam

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2013
• Tom: Vol. 51 nr 4
• Strony: 959--968
• Opis fizyczny: Bibliogr. 35 poz., rys.

Twórcy

autor

Sedighi H. M.

• Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran

autor

Reza A.

• Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran

autor

Zare J.

• National Iranian South Oil Company (Nisoc), Ahvaz, Iran

Bibliografia

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