里兹法
各向同性
切比雪夫多项式
切比雪夫滤波器
振动
边值问题
弹性(物理)
有限元法
数学
数学分析
材料性能
梯度材料
材料科学
结构工程
复合材料
工程类
物理
声学
量子力学
作者
P. Malekzadeh,F. Bahranifard,Sima Ziaee
标识
DOI:10.1016/j.compstruct.2013.05.005
摘要
The free vibration analysis of functionally graded (FG) cylindrical panels with a cut-out and under thermal environment is studied using the three-dimensional Chebyshev–Ritz method. The material properties are assumed to be temperature-dependent and graded in the thickness direction. The formulation is based on the elasticity theory, which includes the effects of initial thermal stresses induced by the thermal environment. Chebyshev polynomials in conjunction with suitable boundary functions are used as admissible functions of the Ritz method. The convergence behavior of the method is demonstrated and to validate the results, comparisons are made with the available solutions for isotropic homogeneous and FG curved panels without cut-out. In addition, the solution for homogeneous panels with cut-out are compared with those obtained via the commercial finite element package 'ABAQUS'. Then, the effects of volume fraction index, different types of temperature distributions through the panel thickness, dimensions of the cut-out and the geometrical parameters of the panels on their free vibration behaviors are studied.
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