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Structural Engineering and Mechanics Volume 86, Number 3, May10 2023 , pages 361-371 DOI: https://doi.org/10.12989/sem.2023.86.3.361 |
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Nonlinear resonance of axially moving GPLRMF plates with different boundary conditions |
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Jin-Peng Song and Gui-Lin She
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| Abstract | ||
| Boundary condition is an important factor affecting the vibration characteristics of structures, under different boundary conditions, structures will exhibit different vibration behaviors. On the basis of the previous work, this paper extends to the nonlinear resonance behavior of axially moving graphene platelets reinforced metal foams (GPLRMF) plates with geometric imperfection under different boundary conditions. Based on nonlinear Kirchhoff plate theory, the motion equations are derived. Considering three boundary conditions, including four edges simply supported (SSSS), four edges clamped (CCCC), clamped-clamped-simply-simply (CCSS), the nonlinear ordinary differential equation system is obtained by Galerkin method, and then the equation system is solved to obtain the nonlinear ordinary differential control equation which only including transverse displacement. Subsequently, the resonance response of GPLRMF plates is obtained by perturbation method. Finally, the effects of different boundary conditions, material properties (including the GPLs patterns, foams distribution, porosity coefficient and GPLs weight fraction), geometric imperfection, and axial velocity on the resonance of GPLRMF plates are investigated. | ||
| Key Words | ||
| axial moving plates; geometrical imperfections; graphene platelets; primary resonance; resonance boundary condition | ||
| Address | ||
| Jin-Peng Song and Gui-Lin She: College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China | ||