Analysis on free vibration and critical buckling load of a FGM porous rectangular plate

被引：2
|
作者：
Teng Z. [1 ]
Xi P. [1 ]
机构：
[1] School of Science, Lanzhou University of Technology, Lanzhou
来源：
Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University | 2021年 / 39卷 / 02期
关键词：
Buckling; Differential transformation method (DTM); Free vibration; Porosity; Porous FGM; Rectangular plate;
D O I：
10.1051/jnwpu/20213920317
中图分类号：
学科分类号：
摘要：
The properties of functionally gradient materials (FGM) are closely related to porosity, which has effect on FGM's elastic modulus, Poisson's ratio, density, etc. Based on the classical theory of thin plates and Hamilton principle, the mathematical model of free vibration and buckling of FGM porous rectangular plates with compression on four sides is established. Then the dimensionless form of the governing differential equation is also obtained. The dimensionless governing differential equation and its boundary conditions are transformed by differential transformation method (DTM). After iterative convergence, the dimensionless natural frequencies and critical buckling loads of the FGM porous rectangular plate are obtained. The problem is reduced to the free vibration of FGM rectangular plate with zero porosity and compared with its exact solution. It is found that DTM gives high accuracy result. The validity of the method is verified in solving the free vibration and buckling problems of the porous FGM rectangular plates with compression on four sides. The results show that the elastic modulus of FGM porous rectangular plate decreases with the increase of gradient index and porosity. Furthermore, the effects of gradient index and porosity on dimensionless natural frequencies and critical buckling loads are further analyzed under different boundary conditions with constant aspect ratio, and the effects of aspect ratio and load on dimensionless natural frequencies under different boundary conditions. © 2021 Journal of Northwestern Polytechnical University.
引用
收藏
页码：317 / 325
页数：8
相关论文
共 23 条
  • [1] MA Tao, ZHAO Zhongmin, LIU Liangxiang, Et al., The research development and future application of functionally gradient materials, Science & Technology in Chemical Industry, 20, 1, pp. 71-75, (2012)
  • [2] REN X, FAN H, WANG C, Et al., Coaxial rotatory-freestanding triboelectric nanogenerator for effective energy scavenging from wind, Smart Materials and Structures, 27, 6, (2018)
  • [3] ZENG X, FAN H, ZHANG J., Prediction of the effects of particle and matrix morphologies on Al<sub>2</sub>O<sub>3</sub> particle/polymer composites by finite element method, Computational Materials Science, 40, 3, pp. 395-399, (2007)
  • [4] WANG B, ZHU D, LI C, Et al., Performance of full compositional W/Cu functionally gradient materials under quasi-steady-state heat loads, IEEE Trans on Plasma Science, 46, 5, pp. 1551-1555, (2018)
  • [5] SHISHESAZ M, HOSSEINI M, NADERAN TAHAN K, Et al., Analysis of functionally graded nanodisks under thermoelastic loading based on the strain gradient theory, Acta Mechanica, 228, 12, pp. 4141-4168, (2017)
  • [6] STATHOPOULOS V, SADYKOV V, PAVLOVA S, Et al., Design of functionally fraded multilayer thermal barrier coatings for gas turbine application, Surface and Coatings Technology, 295, pp. 20-28, (2016)
  • [7] WAN Y P, SAMPATH S, PRASAD V, Et al., An advanced model for plasma spraying of functionally graded materials, Journal of Materials Processing Technology, 137, 1, pp. 110-116, (2003)
  • [8] SHCHUKIN A S, VREL D, SYTSCHEV A E., Interaction of NiAl intermetallic during SHS synthesis with Ta substrate, Advanced Engineering Materials, 20, 8, (2018)
  • [9] HUANG Xutao, YAN Mi, Review and prospects of functionally gradient materials, Materials Science and Engineering, 15, 4, pp. 35-38, (1997)
  • [10] SPRIGGS R M., Expression for effect of porosity on elastic modulus of polycrystalline refractory materials, particularly aluminum oxide, Journal of the American Ceramic Society, 44, 12, pp. 628-629, (1961)
123