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Computers and Concrete Volume 32, Number 6, December 2023 , pages 543-551 DOI: https://doi.org/10.12989/cac.2023.32.6.543 |
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Thermal post-buckling and primary resonance of porous functionally graded beams: Effect of elastic foundations and geometric imperfection |
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Jia-Qin Xu and Gui-Lin She
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| Abstract | ||
| In this article, thermal post-buckling and primary resonance of the porous functionally graded material (FGM) beams in thermal environment considering the geometric imperfection are studied, the material properties of FGM beams are assumed to vary along the thickness of the beam, meanwhile, the porosity volume fraction, geometric imperfection, temperature, and the elastic foundation are considered, using the Euler-Lagrange equation, the nonlinear vibration equations are derived, after the dimensionless processing, the dimensionless equations of motion can be obtained. Then, the two-step perturbation method is applied to solve the vibration problems, the resonance and thermal post-buckling response relations are obtained. Finally, the functionally graded index, the porosity volume fraction, temperature, geometric imperfection, and the elastic foundation on the resonance behaviors of the FGM beams are presented. It can be found that these parameters can influence the thermal postbuckling and primary resonance problems. | ||
| Key Words | ||
| elastic foundation; functionally graded beams; porosity; resonance; thermal post-buckling | ||
| Address | ||
| College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China | ||