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Nonlinear transient responses of rotating twisted FGM cylindrical panels

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Abstract

This paper develops a new structure dynamic model to investigate nonlinear transient responses of the rotating blade made of functionally graded material (FGM). The rotating blade is simplified as a rotating FGM cylindrical panel with a presetting angle and a twist angle. The geometric nonlinearity effects are taken into account in the strain-displacement relationships, which are derived by Green strain tensor. Based on the first-order piston theory and the first-order shear deformation theory, the equations of motion for the rotating twisted FGM cylindrical panel are acquired by means of Hamilton principle and Galerkin method. Backward Differentiation Formula (BDF) and Runge-Kutta Algorithm are used to solve the nonlinear equations of motion for the system. The effects of four pulse load conditions on the system subjected to the internal pulse load or the external pulse load are fully discussed. A detailed parametric analysis is performed by considering the effects of the rotating speed, volume fraction index and temperature.

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Authors and Affiliations

  1. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

    Yan Niu, MingHui Yao & Wei Zhang

Authors
  1. Yan Niu
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  2. MingHui Yao
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  3. Wei Zhang
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Corresponding author

Correspondence to MingHui Yao.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11972253, 11972051, 11832002, 11372015, 11772011).

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Niu, Y., Yao, M. & Zhang, W. Nonlinear transient responses of rotating twisted FGM cylindrical panels. Sci. China Technol. Sci. 64, 317–330 (2021). https://doi.org/10.1007/s11431-019-1472-1

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