Authors
Soraya Mareishi, Hamed Kalhori, Mohammad Rafiee, Seyedeh Marzieh Hosseini
Publication date
2015/1/1
Journal
Curved and Layered Structures
Volume
2
Issue
1
Publisher
De Gruyter Open
Description
This paper presents an analytical solution for nonlinear free and forced vibration response of smart laminated nano-composite beams resting on nonlinear elastic foundation and under external harmonic excitation. The structure is under a temperature change and an electric excitation through the piezoelectric layers. Different distribution patterns of the single walled aligned and straight carbon nanotubes (SWCNTs) through the thickness of the beam are considered. The beam complies with Euler-Bernoulli beam theory and von Kármán geometric nonlinearity. The nonlinearity is due to the mid-plane stretching of the beam and the nonlinear stiffness of the elastic foundation. The Multiple Time Scales perturbation scheme is used to perform the nonlinear dynamical analysis of functionally graded carbon nanotube-reinforced beams. Analytical expressions of the nonlinear natural frequencies, nonlinear dynamic …
Scholar articles
S Mareishi, H Kalhori, M Rafiee, SM Hosseini - Curved and Layered Structures, 2015