Can I read Comprehensive investigation of vibration of sigmoid and power law FG nanobeams based on surface elasticity and modified couple stress theories on EtoBox?
Comprehensive investigation of vibration of sigmoid and power law FG nanobeams based on surface elasticity and modified couple stress theories by Rabab A. Shanab; Salwa A. Mohamed; Norhan A. Mohamed; Mohamed A. Attia is a Engineering article available to read on EtoBox.
What is Comprehensive investigation of vibration of sigmoid and power law FG nanobeams based on surface elasticity and modified couple stress theories about?
Based on the modified couple stress theory and Gurtin-Murdoch surface elasticity theory, a sizedependent Timoshenko beam model is developed for investigating the nonlinear vibration response of functionally graded (FG) micro-/nanobeams. The model is capable of capturing the simultaneous effects of microstructure couple stress, surface energy, and von Kármán's geometric nonlinearity. Sigmoid function and power law homogenization schemes are used to model the material gradation of the beam. Hamilton's principle is exploited to establish the nonclassical nonlinear governing equations and corresponding higher-order boundary conditions. To account for the nonhomogeneity in boundary conditions, the solution of the problem is split into two parts: the nonlinear static response with the nonhomogeneous boundary conditions and the nonlinear dynamic response. The resulting boundary conditions for the dynamic response are homogeneous, and so Galerkin's approach is applied to reduce the set of PDEs to a nonlinear system of ODEs. The generalized differential quadrature method in terms of spatial variables is applied to obtain the static response and linear vibration mode. Considering the nonline
Who reads Comprehensive investigation of vibration of sigmoid and power law FG nanobeams based on surface elasticity and modified couple stress theories?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Rabab A. Shanab; Salwa A. Mohamed; Norhan A. Mohamed; Mohamed A. Attia
- Publisher
- Springer Vienna; Springer-Verlag; Springer Verlag; Springer Science and Business Media LLC (ISSN 0001-5970)
- Published
- 2020
- Language
- EN
- Field
- Engineering (Physical Sciences)