Exact solution for large amplitude flexural vibration of nanobeams using nonlocal Euler-Bernoulli theory

• Autorzy: Nazemnezhad R. , Hosseini-Hashemi S.

Identyfikatory

DOI

10.15632/jtam-pl.55.2.649

• Języki publikacji: EN

Abstrakty

EN

In this paper, nonlinear free vibration of nanobeams with various end conditions is studied using the nonlocal elasticity within the frame work of Euler-Bernoulli theory with von K´arm´an nonlinearity. The equation of motion is obtained and the exact solution is established using elliptic integrals. Two comparison studies are carried out to demonstrate accuracy and applicability of the elliptic integrals method for nonlocal nonlinear free vibration analysis of nanobeams. It is observed that the phase plane diagrams of nanobeams in the presence of the small scale effect are symmetric ellipses, and consideration the small scale effect decreases the area of the diagram.

Słowa kluczowe

EN

nonlinear free vibration; nonlocal elasticity; nanobeam; exact solution; elliptic integrals

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2017
• Tom: Vol. 55 nr 2
• Strony: 649--658
• Opis fizyczny: Bibliogr. 34 poz., rys., tab.

Twórcy

autor

Nazemnezhad R.

• School of Engineering, Damghan University, Damghan, Islamic Republic of Iran

autor

Hosseini-Hashemi S.

• School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran and Center of Excellence in Railway Transportation, Iran University of Science and Technology, Narmak, Tehran, Iran

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)