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This paper examines the bending and free vibration behavior of a rectangular sandwich plate based on Reddy’s third-order shear deformation theory (RTSDT). The plate features a functionally graded porous material (FGP) core and cross-ply carbon nanotube-reinforced (CNT) face sheets. By applying the Navier solution, the governing equations are derived to determine the natural frequency and deflection of the simply supported sandwich plate. Systematic verification confirms the accuracy and reliability of the proposed model. Numerical studies reveal the influence of the porosity index of the FGP core, CNT distribution patterns, and the number of CNT layers on the plate’s deflection and fundamental frequency.

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Navier-Based Approach for Static and Vibration Analysis of FGP-Core Sandwich Plates with FG-CNTRC Cross-Ply Laminated Face Sheets

  • 会议论文

  • 发表日期：

    2026年

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  • Thanh-Tung Pham,
  • Hoang-Nam Nguyen,
  • Minh-Tu Tran,
  • Viet-Tam Tran

摘要

This paper examines the bending and free vibration behavior of a rectangular sandwich plate based on Reddy’s third-order shear deformation theory (RTSDT). The plate features a functionally graded porous material (FGP) core and cross-ply carbon nanotube-reinforced (CNT) face sheets. By applying the Navier solution, the governing equations are derived to determine the natural frequency and deflection of the simply supported sandwich plate. Systematic verification confirms the accuracy and reliability of the proposed model. Numerical studies reveal the influence of the porosity index of the FGP core, CNT distribution patterns, and the number of CNT layers on the plate’s deflection and fundamental frequency.