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<p>Under the trend of high-speed lightweight design for aero-engines, turbine fan blades face dynamic instability risks in complex aerothermal-rotational coupled environments. While annular sector plates optimize aerodynamic adaptability and centrifugal stress distribution via curvature effects, traditional homogeneous and composite materials struggle to meet the demands of matching the 3D stress field. Furthermore, existing research often neglects the coupling effects between variable thickness and multidimensional functionally graded materials (MDFGM), and lacks systematic analysis of blade dynamic responses under transonic flow fields. ‌This paper establishes a coupled aero-thermal-elastic model for annular sector plates with variable thickness made of MDFGM. Based on the First-order Shear Deformation Theory (FSDT), the rotational-thermal field coupled governing equations are derived by combining artificial spring boundary conditions with Hamilton’s principle. The Generalized Differential Quadrature Method (GDQM) is employed to efficiently discretize the spatially varying gradient coefficients, coupled with the Runge–Kutta method to solve ‌forced vibration amplitude-frequency response under subsonic unsteady aerodynamics and transient flutter limit cycle oscillation (LCO) and chaotic evolution in supersonic flow fields. ‌The study reveals the synergistic control mechanisms of gradient parameters and elucidates the influence laws of variable thickness, material gradation, and multi-physics coupling on structural stability. It fills the research gap concerning the dynamic characteristics analysis of MDFGM blades under complex operating conditions, providing theoretical foundations for the design of high-reliability engine blades.</p>

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Aero-thermo-elastic coupling and dynamic response of variable-thickness MDFGM annular sector plates

  • 期刊论文

  • 发表日期：

    2026年2月10日

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  • Yu-Hao Fan,
  • Gui-Lin She,
  • Cheng Li

摘要

Under the trend of high-speed lightweight design for aero-engines, turbine fan blades face dynamic instability risks in complex aerothermal-rotational coupled environments. While annular sector plates optimize aerodynamic adaptability and centrifugal stress distribution via curvature effects, traditional homogeneous and composite materials struggle to meet the demands of matching the 3D stress field. Furthermore, existing research often neglects the coupling effects between variable thickness and multidimensional functionally graded materials (MDFGM), and lacks systematic analysis of blade dynamic responses under transonic flow fields. ‌This paper establishes a coupled aero-thermal-elastic model for annular sector plates with variable thickness made of MDFGM. Based on the First-order Shear Deformation Theory (FSDT), the rotational-thermal field coupled governing equations are derived by combining artificial spring boundary conditions with Hamilton’s principle. The Generalized Differential Quadrature Method (GDQM) is employed to efficiently discretize the spatially varying gradient coefficients, coupled with the Runge–Kutta method to solve ‌forced vibration amplitude-frequency response under subsonic unsteady aerodynamics and transient flutter limit cycle oscillation (LCO) and chaotic evolution in supersonic flow fields. ‌The study reveals the synergistic control mechanisms of gradient parameters and elucidates the influence laws of variable thickness, material gradation, and multi-physics coupling on structural stability. It fills the research gap concerning the dynamic characteristics analysis of MDFGM blades under complex operating conditions, providing theoretical foundations for the design of high-reliability engine blades.