<p>This study evaluates five homogenization schemes, Voigt, Reuss, Mori–Tanaka, Halpin–Tsai, and the Self-Consistent model, for predicting the effective properties of functionally graded material plates under thermal variations. A vibroacoustic analysis framework based on classical plate theory is developed to examine how these schemes influence the natural frequency, sound pressure level, and acoustic radiation efficiency. The homogenization method is used to compute the effective elastic modulus and density, which are then integrated across the thickness to obtain bending stiffness and mass per unit area. These are incorporated into analytical expressions for predicting the plate’s dynamic and acoustic response. The full model is implemented in MATLAB to evaluate performance over a temperature range. The results show that it reduces stiffness, leading to lower natural frequency, SPL, and radiation efficiency. Significant differences across the homogenization models emphasize the importance of accurate material modeling. The Mori–Tanaka method yields conservative predictions, while Voigt and Reuss define the bounds. The Halpin–Tsai and Self-Consistent models provide intermediate, balanced outputs. This comparison highlights the importance of selecting suitable homogenization models for the vibroacoustic design of FGM structures in temperature-sensitive environments.</p>

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Comparative vibroacoustic analysis of FGM plates using homogenization models under thermal environments

  • Neelam Soni,
  • Baij Nath Singh

摘要

This study evaluates five homogenization schemes, Voigt, Reuss, Mori–Tanaka, Halpin–Tsai, and the Self-Consistent model, for predicting the effective properties of functionally graded material plates under thermal variations. A vibroacoustic analysis framework based on classical plate theory is developed to examine how these schemes influence the natural frequency, sound pressure level, and acoustic radiation efficiency. The homogenization method is used to compute the effective elastic modulus and density, which are then integrated across the thickness to obtain bending stiffness and mass per unit area. These are incorporated into analytical expressions for predicting the plate’s dynamic and acoustic response. The full model is implemented in MATLAB to evaluate performance over a temperature range. The results show that it reduces stiffness, leading to lower natural frequency, SPL, and radiation efficiency. Significant differences across the homogenization models emphasize the importance of accurate material modeling. The Mori–Tanaka method yields conservative predictions, while Voigt and Reuss define the bounds. The Halpin–Tsai and Self-Consistent models provide intermediate, balanced outputs. This comparison highlights the importance of selecting suitable homogenization models for the vibroacoustic design of FGM structures in temperature-sensitive environments.