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Dynamic instability and internal resonance of rotating pretwisted composite airfoil blades

Author

Listed:
  • Niu, Yan
  • Wu, Meiqi
  • Yao, Minghui
  • Wu, Qiliang

Abstract

A rotating pretwisted airfoil blade model reinforced with graphene platelets combined with first-order shear deformation theory is developed to study dynamic instability and internal resonance of the rotating blade, which subjected to the transverse load and in-plane load. Based on the mode shapes derived by using Rayleigh-Ritz method, Lagrange's formulation is taken into account to acquire nonlinear ordinary differential equations. The critical buckling loads and instability regions are obtained and then compared with the opening results. Then, the method of multiple scales is taken into account to solve the modulation equations of the rotating airfoil blade in the presence of 1:2 internal resonance. The detailed discussions related to frequency-response and force-response curves under different parameters are carried out.

Suggested Citation

  • Niu, Yan & Wu, Meiqi & Yao, Minghui & Wu, Qiliang, 2022. "Dynamic instability and internal resonance of rotating pretwisted composite airfoil blades," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010141
    DOI: 10.1016/j.chaos.2022.112835
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    References listed on IDEAS

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    1. Zheng, Y. & Zhang, W. & Liu, T. & Zhang, Y.F., 2022. "Resonant responses and double-parameter multi-pulse chaotic vibrations of graphene platelets reinforced functionally graded rotating composite blade," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Wang, Yuefang & Liu, Xuetao & Huang, Lihua, 2008. "Stability analyses for axially moving strings in nonlinear free and aerodynamically excited vibrations," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 421-429.
    3. Zhou, J.W. & Zhang, W. & Jiang, X. & Zhai, E.D., 2022. "Investigation on dynamics of rotating wind turbine blade using transferred differential transformation method," Renewable Energy, Elsevier, vol. 188(C), pages 96-113.
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