指数型体积分数功能梯度材料的薄壁圆柱壳振动

A·G·沙哈; T·曼穆德; M·N·那姆

doi:10.3879/j.issn.1000-0887.2009.05.007

指数型体积分数功能梯度材料的薄壁圆柱壳振动

doi: 10.3879/j.issn.1000-0887.2009.05.007

1.
巴哈瓦浦耳伊斯兰大学数学系,巴基斯坦;
统治学院大学数学系,费萨拉巴德,巴基斯坦

详细信息

中图分类号: O327
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出版历程
- 收稿日期: 2008-10-09
- 修回日期: 2009-01-03
- 刊出日期: 2009-05-15

Vibrations of FGM Thin Cylindrical Shells With Exponential Volume Fraction Law

1.
Department of Mathematics, the Islamia University of Bahawalpur, Pakistan;
Department of Mathematics, Government College University, Faisalabad, Pakistan

摘要

摘要: 研究了指数型体积分数对功能梯度薄圆柱壳振动频率的影响．壳体厚度方向上的材料特性呈指数律变化．由Love薄壳理论，得到应变-位移及曲率-位移关系表达式A·D2利用Rayleigh-Ritz方法，导出壳体的固有频率方程．假定轴向形态关系是典型的梁函数．壳体的固有频率取决于组合材料的体积分数．所得结果与已有文献的结果进行对比分析，说明本方法是正确的．
- 指数型体积分数 /
- 功能梯度材料（FGM） /
- 圆柱壳 /
- 振动 /
- Rayleigh-Ritz法
Abstract: The influence of an exponential volume fraction law on the vibration frequencies of thin functionally graded cylindrical shells was studied. Material properties in the shell thickness direction were graded in a ccordance with the exponential law. Expressions for the strain-displacement and curvature-displacement relationships were taken from Love.s thin shell theory. The Rayleigh-Ritz approach was used to derive the shell eigenfr equency equation. Axial modal dependence is assumed in the characteristic beam functions. Natural frequencies of the shells are observed to be dependent on the constituent volume fractions. The results are compared with those available in the literature for the validity of the present methodology.
- exponential volume fraction law /
- functionally graded materials(FGM) /
- cylindrical shells /
- vibrations /
- the Rayleigh-Ritz approach

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参考文献(23)

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