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Frequency analysis of functionally graded elbow conveying fluid

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Document pages: 9 pages

Abstract: The in-plane free vibration frequency of the composite pipe is studied. According to the power law assumption, the material properties are continuously distributed along the pipe wall thickness, and the effective mass, flexural stiffness and mass ratio are used in the governing equation. The natural frequency of the structure is deduced numerically by using the modified non tensility theory. The lowest fourth-order natural frequency of the structure is studied by the complex mode method, and compared with the existing literature results to verify the effectiveness of the complex mode method. The parameter sensitivity is studied by numerical examples, and the results reveal the significant influence of material distributionion gradient index, flow velocity, fluid density, and opening angle on the natural frequencies of the FGM curved pipes conveying fluid.

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