Transactions of Nanjing University of Aeronautics & Astronautics
Vibration and Instability of Third-Order Shear Deformable FGM Sandwich Cylindrical Shells Conveying Fluid
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Abstract:
The vibration and instability of functionally graded material （FGM） sandwich cylindrical shells conveying fluid are investigated. The Navier-Stokes relation is used to describe the fluid pressure acting on the FGM sandwich shells. Based on the third-order shear deformation shell theory， the governing equations of the system are derived by using the Hamilton’s principle. To check the validity of the present analysis， the results are compared with those in previous studies for the special cases. Results manifest that the natural frequency of the fluid-conveying FGM sandwich shells increases with the rise of the core-to-thickness ratio and power-law exponent， while decreases with the rise of fluid density， radius-to-thickness ratio and length-to-radius ratio. The fluid-conveying FGM sandwich shells lose stability when the non-dimensional flow velocity falls in 2.1—2.5， which should be avoided in engineering application.
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This work was supported by the National Natural Science Foundation of China （Nos.11922205 and 12072201）， and the Fundamental Research Fund for the Central Universities （No.N2005019）.
Clc Number:
TB12
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