Free vibration of asymmetric porous functionally graded material sandwich plates on elastic foundations

被引:0
|
作者
Huang, Zhicheng [1 ]
Han, Mengna [1 ]
Wang, Xingguo [1 ]
Chu, Fulei [2 ]
机构
[1] College of Mechanieal and Electronic Engineering, Jingdezhen Ceramic University, Jingdezhen
[2] Department of Mechanical Engineering, Tsinghua University, Beijing
来源
Zhendong yu Chongji/Journal of Vibration and Shock | 2024年 / 43卷 / 10期
关键词
elastic foundation; free vibration; functionally graded materials (FGM); natural frequency; sandwich plate;
D O I
10.13465/j.cnki.jvs.2024.10.019
中图分类号
学科分类号
摘要
Based on the refined shear deformation theory, the free vibration of asymmetric porous functionally graded material (FGM) sandwich plates on elastic foundations was studied and a new free vibration model, containing only four unknown variables, for asymmetric porous FGM sandwich plates on elastic foundations was proposed. The governing equation was established using the Hamilton' s principle and the natural frequency of the sandwich plate with four simply supported sides was obtained using the Navier method. The plate model was degraded into an asymmetric FGM sandwich plate on an inelastic foundation to verify the accuracy of the model. Finally, the influence of parameter changes on the free vibration behavior of asymmetric porous FGM sandwich plates on elastic foundations was discussed in detail. It is found that the natural frequency of asymmetric porous FGM sandwich plates with different elastic coefficients increases with the increase of side-to-thickness ratio, while it has different change with the increase of volume fraction index. © 2024 Chinese Vibration Engineering Society. All rights reserved.
引用
收藏
页码:156 / 163
页数:7
相关论文
共 25 条
  • [1] WANG Shengchun, DENG Zhaoxiang, SHEN Weidong, Et al., Connatural characteristics analysis of rectangular orthotropic honeycomb sandwich panels with all edges simply supported [J], Journal of Vibration and Shock, 31, 9, pp. 73-77, (2012)
  • [2] ZHU R Z, ZHANG X N, ZHANG S G, Et al., Modeling and topology optimization of cylindrical shells with partial CLD treatment, International Journal of Mechanical Sciences, 220, 15, (2022)
  • [3] NI Zhen, LI Danwang, XIA Ye, Et al., Free vibration of orthogonal doubly-curved honeycomb shell considering elastic foundation [J], Journal of Vibration and Shock, 41, 9, pp. 1-8, (2022)
  • [4] GAO W L, LIU Y F, QIN Z Y, Et al., Wave propagation in smart sandwich plates with functionally graded nanocomposite porous core and piezoelectric layers in multi-physics environment [J], International Journal of Applied Mechanics, 14, 7, (2022)
  • [5] AHMED HOUARI M S, BENYOUCEF S, MECHAB I, Et al., Two-variable refined plate theory for thermoelastic bending analysis of functionally graded sandwich plates, Journal of Thermal Stresses, 34, pp. 315-334, (2011)
  • [6] ABDELAZIZ H H, ATMANE H A, MECHAB I, Et al., Static analysis of functionally graded sandwich plates using an efficient and simple refined theory, Chinese Journal of Aeronautics, 24, pp. 434-448, (2011)
  • [7] SUN Dan, LUO Songnan, Wave propagation in a rectangular functionally graded material plate with clamped supports, Journal of Vibration and Shock, 30, 4, pp. 244-247, (2011)
  • [8] WU Xiao, LUO Youxin, Dynamic responses of a beam with functionally graded materials with Timoshenko beam correction theory, Journal of Vibration and Shock, 30, 10, pp. 245-248, (2011)
  • [9] ZHU J C, LAI Z H, YIN Z D, Et al., Fabrication of Zr02-NiCr functionally graded material by powder metallurgy, Materials Chemistry and Physics, 68, pp. 130-135, (2001)
  • [10] LIN Pengcheng, TENG Zhaochun, Free vibration analysis of axially moving FGM beams under thermal shock, Journal of Vibration and Shock, 39, 12, pp. 549-256, (2020)