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<p>Von Karman’s thin plate theory in conjunction with Gurtin-Murdoch surface elasticity theory was applied to investigate free vibration characteristics of thin circular nanoplates made of porous functionally graded material (FGM). Power law functions were utilized to customize material properties in the thickness direction of FGM plates. The governing equation for the free vibration analysis of porous FGM circular nanoplate was numerically solved by using shooting method. Numerical results were carried out to show the influence of porosity distribution characteristics (porosity-I, porosity-II, and porosity-III), material gradient index, surface elasticity parameters, surface residual stress, small-scale effects, and boundary conditions on the vibration characteristics of porous FGM thin circular nanoplates.</p>

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Vibration Characteristics of Porous FGM Circular Thin Nanoplate with Taken into Account of Surface Effect

  • 期刊论文

  • 发表日期：

    2025年9月4日

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  • Qinglu Li,
  • Yuyu Zhang,
  • Zhaoyi Pan

摘要

Von Karman’s thin plate theory in conjunction with Gurtin-Murdoch surface elasticity theory was applied to investigate free vibration characteristics of thin circular nanoplates made of porous functionally graded material (FGM). Power law functions were utilized to customize material properties in the thickness direction of FGM plates. The governing equation for the free vibration analysis of porous FGM circular nanoplate was numerically solved by using shooting method. Numerical results were carried out to show the influence of porosity distribution characteristics (porosity-I, porosity-II, and porosity-III), material gradient index, surface elasticity parameters, surface residual stress, small-scale effects, and boundary conditions on the vibration characteristics of porous FGM thin circular nanoplates.