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<p>Bidirectional functionally graded (BDFG) beams are a promising solution for spacecraft structures subjected to extreme thermal and vibrational environments due to their superior thermal performance and design flexibility. Therefore, developing an efficient and highly convergent thermal vibration analysis method for BDFG beams under complex temperature fields is of paramount importance. This paper proposes a Chebyshev spectral method based on Reddy’s higher-order shear deformation theory (HSDT) to investigate the thermoelastic vibrations of BDFG beams. The material properties are temperature-dependent and vary with both thickness and length. The proposed method is validated by comparing the results with those in the existing literature. The analysis reveals that the critical buckling temperature rise is primarily influenced by the ceramic content, but thermal buckling can be mitigated by adjusting the material distribution. A trade-off exists between suppressing thermal buckling and relaxing thermal stresses, necessitating a balanced approach. The titanium alloy BDFG beam offers a broader design envelope compared to the metal-ceramic BDFG beam. The method presented in this study will provide theoretical support and guidance for the design of BDFG beams.</p>

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Thermal Vibrations and Buckling Analysis of Bidirectional Functionally Graded Beams Under Axial and Transverse Temperature Gradients

  • 期刊论文

  • 发表日期：

    2025年7月24日

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  • Haizhou Liu,
  • Yang Zhao,
  • Fangtong Luo,
  • Hao Tian,
  • Weihua Xie

摘要

Bidirectional functionally graded (BDFG) beams are a promising solution for spacecraft structures subjected to extreme thermal and vibrational environments due to their superior thermal performance and design flexibility. Therefore, developing an efficient and highly convergent thermal vibration analysis method for BDFG beams under complex temperature fields is of paramount importance. This paper proposes a Chebyshev spectral method based on Reddy’s higher-order shear deformation theory (HSDT) to investigate the thermoelastic vibrations of BDFG beams. The material properties are temperature-dependent and vary with both thickness and length. The proposed method is validated by comparing the results with those in the existing literature. The analysis reveals that the critical buckling temperature rise is primarily influenced by the ceramic content, but thermal buckling can be mitigated by adjusting the material distribution. A trade-off exists between suppressing thermal buckling and relaxing thermal stresses, necessitating a balanced approach. The titanium alloy BDFG beam offers a broader design envelope compared to the metal-ceramic BDFG beam. The method presented in this study will provide theoretical support and guidance for the design of BDFG beams.