Nonlinear Vibration of Thermally Postbuckled FG-GRC Laminated Beams Resting on Elastic Foundations
Autor(en): |
Hui-Shen Shen
Y. Xiang Yin Fan |
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Medium: | Fachartikel |
Sprache(n): | Englisch |
Veröffentlicht in: | International Journal of Structural Stability and Dynamics, August 2019, n. 8, v. 19 |
Seite(n): | 1950051 |
DOI: | 10.1142/s0219455419500512 |
Abstrakt: |
Investigated herein are the small- and large-amplitude vibrations of a thermally postbuckled graphene-reinforced composite (GRC) laminated beam supported by an elastic foundation. The piecewise GRC layers are arranged in a functionally graded (FG) pattern along the thickness direction of the beam. The temperature-dependent material properties of functionally graded graphene-reinforced composites (FG-GRCs) are estimated through the extended Halpin–Tsai micromechanical model. The nonlinear governing differential equations are derived from the higher-order shear deformation beam theory and the von Kármán-type strain–displacement relationships. The thermal effect, the beam–foundation interaction and the initial deflection caused by thermal postbuckling are also included. A two-step perturbation approach is applied to determine the thermal postbuckling equilibrium paths as well as the nonlinear vibration solutions for the FG-GRC laminated beams. Results are presented to demonstrate the nonlinear vibration responses of thermally postbuckled FG-GRC laminated beams under a uniform temperature field. The effects of the FG reinforcement patterns and the foundation stiffness on the nonlinear vibration responses of FG-GRC laminated beams are examined and discussed. |
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Datenseite - Reference-ID
10344591 - Veröffentlicht am:
14.08.2019 - Geändert am:
14.08.2019