Free vibration of asymmetric porous functionally graded material sandwich plates on elastic foundations

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (10) : 156-163.

HUANG Zhicheng1，HAN Mengna1，WANG Xingguo1，CHU Fulei2

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Abstract

Based on the refine shear deformation theory, the free vibration of asymmetric porous functionally graded material(FGM) sandwich plates on elastic foundations is studied. A new free vibration model for asymmetric porous FGM sandwich plates on elastic foundations is proposed based on this theory, and the model only contains four unknown variables. The governing equation is established using the Hamilton’s principle and natural frequency of sandwich plate is obtained using the Navier method under four simple supports. The model is degraded into an asymmetric FGM sandwich plate on an inelastic foundation to verify the accuracy of the model. Finally, the influence of parameter changes on the free vibration behavior of asymmetric porous FGM sandwich plates on elastic foundations is discussed in detail. We have found that the natural frequency of asymmetric porous FGM sandwich plates increases with the increase of side-to-thickness ratio under different elastic coefficients, while its has different changes with the increase of volume fraction index under different elastic coefficients.

Key words

porous functionally graded materials / Sandwich plate / Elastic foundation / Free vibration / natural frequency

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HUANG Zhicheng1，HAN Mengna1，WANG Xingguo1，CHU Fulei2. Free vibration of asymmetric porous functionally graded material sandwich plates on elastic foundations[J]. Journal of Vibration and Shock, 2024, 43(10): 156-163

References

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