Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid

This study investigates the vibration analysis of a functionally graded (FG) rectangular plate partially in contact with a bounded fluid. The material properties are assumed to vary continuously through the thickness direction according to a simple power-law distribution in terms of volume fraction of material constituents. Wet dynamic transverse displacements of the plate are approximated by a set of admissible trial functions, which are required to satisfy the clamped and simply supported geometric boundary conditions. The fluid velocity potential satisfying fluid boundary conditions is derived, and wet dynamic modal functions of the plate are expanded in terms of finite Fourier series for compatibility requirement along the contacting surface between the plate and the fluid. Natural frequencies of the plate coupled with sloshing fluid modes are calculated using the Rayleigh–Ritz method based on minimizing the Rayleigh quotient. The proposed analytical method is validated with available data in the literature. In the numerical results, the effects of boundary conditions, aspect ratios, thickness ratios, gradient index, material properties of the FG plate, depth of the fluid and dimensions of the tank on the wet natural frequencies are investigated
 

مقالات
حجم فایل 1769 کیلوبایت
زبان مقاله ENGLISH
سال انتشار 2015
محل انتشار Springer
مشخصات کلی
تعداد صفحات 23
تعداد صفحات محصول 20-40

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Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid

  • تولید کننده: Korosh Khorshidi
  • شناسنامه: MC1-1099-paper2
  • موجودی: در انبار
  • تاریخ چاپ: 2016-11-01
  • نویسنده: Korosh Khorshidi, Ali Bakhsheshy
  • ژورنال: Springer
  • رایگان
  • قیمت بدون مالیات: رایگان

برچسب ها: Free vibration, bounded fluid, power-law, wet dynamic, finite Fourier series, Natural frequencies