阶梯状圆形/环形 Mindlin 功能梯度板自由振动的解析闭式解
偏微分方程分析
2018-11-02 v2
摘要
基于一种独特方法，提出了通过 Mindlin 一阶剪切变形板理论的阶梯状圆形与环形功能梯度（FG）板自由振动的精确解。所研究 FG 板的杨氏模量与泊松比考虑为组分体积分数的幂律分布。通过引入若干新势函数并采用分离变量法求解板的自由振动。最后，将所建立模型与有限元分析（FEA）进行了若干对比，以证明所提精确方法的准确性。还研究了阶梯厚度比与阶梯位置等几何参数对 FG 板固有频率的影响。
引用
@article{arxiv.1804.10583,
title = {An analytical closed-form solution for free vibration of stepped circular/annular Mindlin functionally graded plate},
author = {Masoud Derakhshani and Shahrokh Hosseini-Hashemi and Mohammad Fadaee},
journal= {arXiv preprint arXiv:1804.10583},
year = {2018}
}
备注
11 pages, 3 figures, This paper was presented and published in the 1st International Conference on Acoustic and Vibrations (ISAV 2011)