Nonlinear vibration analysis of Timoshenko nanobeams based on surface stress elasticity theory

• Published in: European journal of mechanics, A, Solids Vol. 45; pp. 143 - 152
• Main Authors: Ansari, R., Mohammadi, V., Faghih Shojaei, M., Gholami, R., Rouhi, H.
• Format: Journal Article
• Language: English
• Published: Elsevier Masson SAS 01.05.2014
• Subjects: Boundary conditions; Differential equations; Free vibration; Mathematical analysis; Mathematical models; Nanobeam; Nanostructure; Nonlinear free vibration; Nonlinearity; Stresses; Surface stress elasticity; Nanobeam; Nonlinear free vibration; Surface stress elasticity

In this article, the nonlinear free vibration behavior of Timoshenko nanobeams subject to different types of end conditions is investigated. The Gurtin–Murdoch continuum elasticity is incorporated into the Timoshenko beam theory in order to capture surface stress effects. The nonlinear governing equ...