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<p>This study analyzes the forced vibration behavior of a simply supported sandwich plate with functionally graded porous steel foam layers and an aluminum A356 viscoelastic core under thermal conditions (300&#xa0;K and 600&#xa0;K). A gradient porosity distribution in the steel foam layers significantly affects the plate’s mechanical response. The Golla-Hughes-McTavish (GHM) model is extended to simulate dynamic interactions between porous-viscoelastic structures and time-varying loads. A new algorithm determines GHM coefficients via multi-frequency curve fitting. Governing equations are derived using Hamilton’s principle and solved with the Newmark method. Validation against prior studies and finite element results confirms model accuracy. Temperature effects reveal that lower temperatures increase stiffness but reduce damping, leading to higher resonance amplitudes. Compared to the Kelvin-Voigt model, the GHM framework more accurately predicts dynamic responses under variable frequencies, especially during abrupt shifts or multi-frequency excitation. These findings support the use of porous-viscoelastic materials in aerospace and automotive design, where temperature-frequency interactions are critical.</p>

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Investigation of forced vibrations in sandwich plates with gradient porosity and viscoelastic core: utilizing the Golla-Hughes-McTavish model

  • 期刊论文

  • 发表日期：

    2026年5月7日

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  • E. S. Tafreshi,
  • H. Mahbadi

摘要

This study analyzes the forced vibration behavior of a simply supported sandwich plate with functionally graded porous steel foam layers and an aluminum A356 viscoelastic core under thermal conditions (300 K and 600 K). A gradient porosity distribution in the steel foam layers significantly affects the plate’s mechanical response. The Golla-Hughes-McTavish (GHM) model is extended to simulate dynamic interactions between porous-viscoelastic structures and time-varying loads. A new algorithm determines GHM coefficients via multi-frequency curve fitting. Governing equations are derived using Hamilton’s principle and solved with the Newmark method. Validation against prior studies and finite element results confirms model accuracy. Temperature effects reveal that lower temperatures increase stiffness but reduce damping, leading to higher resonance amplitudes. Compared to the Kelvin-Voigt model, the GHM framework more accurately predicts dynamic responses under variable frequencies, especially during abrupt shifts or multi-frequency excitation. These findings support the use of porous-viscoelastic materials in aerospace and automotive design, where temperature-frequency interactions are critical.