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Stability of flexible plates with different boundary conditions in axial flow |
Liu Meiqing, Zhao Wensheng, Jiang Jin, Lin Qi |
(School of Power and Mechanical Engineering, Wuhan University, Wuhan, Hubei 430072, China) |
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Abstract The partial differential equations of motion based on the inextensibility assumption were derived for flexible plates with different boundary conditions subjected to axial flow. The flexible plates were either clamped or pinned at both ends, or clamped at the leading edge and free at the trailing edge (cantilevered). The Galerkin method was used to discretize the partial differential equations. The complex modal analysis was adopted to analyze the instability characteristics of the plates. The non-dimensional critical flow velocities were predicted, the relationship between damping, frequency and flow velocity were also discussed. It is shown that for sufficiently high flow velocities the plates may be subject to buckling and flutter. Typically, clamped-clamped and pinned-pinned plates are subject to buckling in their first mode, and to flutter in their higher modes. Furthermore, second mode buckling occurs for pinned-pinned plates, while cantilevered plates flutter in their second and third modes.
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Received: 11 May 2010
Published: 30 January 2011
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