热环境中旋转功能梯度纳米环板的振动分析

刘旭; 姚林泉

doi:10.21656/1000-0887.410090

热环境中旋转功能梯度纳米环板的振动分析

doi: 10.21656/1000-0887.410090

刘旭,
姚林泉

苏州大学轨道交通学院, 江苏苏州 215131

基金项目: 国家自然科学基金(11572210)

详细信息

作者简介:
刘旭（1995—）,男，硕士生（E-mail: xliu1@stu.suda.edu.cn）;姚林泉（1961—），男，教授，博士，博士生导师（通讯作者. E-mail: lqyao@suda.edu.cn）.

中图分类号: O346
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- 文章访问数: 950
- HTML全文浏览量: 201
- PDF下载量: 233
- 被引次数: 0
出版历程
- 收稿日期: 2020-03-30
- 修回日期: 2020-10-20
- 刊出日期: 2020-11-01

Vibration Analysis of Rotating Functionally Gradient Nano Annular Plates in Thermal Environment

LIU Xu,
YAO Linquan

School of Rail Transportation, Soochow University,Suzhou, Jiangsu 215131, P.R.China

Funds: The National Natural Science Foundation of China(11572210)

摘要

摘要: 基于非局部弹性理论和Kirchhoff薄板理论，研究了旋转功能梯度纳米环板在热环境中的振动频率.首先，通过Hamilton原理，得到在温度变化和由旋转运动引起的面力作用下旋转功能梯度纳米环板的径向和横向耦合运动微分方程，并以此为依据得到了热环境下旋转功能梯度纳米环板的横向振动问题；接着，通过平面应力问题，得到在沿径向分布的离心惯性力和温度应力作用下环板的轴对称中面内力；然后，通过微分求积法对变系数微分方程进行离散并求解；最后，通过数值计算结果分析内外径比、功能梯度参数、旋转速度、非局部参数以及温度对环板无量纲固有频率的影响关系.
- 非局部理论 /
- 功能梯度材料 /
- 纳米环板 /
- 微分求积法 /
- 固有频率
Abstract: Based on the nonlocal elasticity theory and the Kirchhoff thin plate theory, the vibration frequencies of rotating FGM nano annular plates in thermal environment were studied. Firstly, the differential equations for coupled radial and transverse motions of the rotating FGM nano annular plate under temperature changes and surface forces caused by rotating motions were obtained with the Hamiltonian principle, in turn, the transverse vibration of the plate was solved. Then, with the plane stress method, the axially symmetrical midplane internal forces of the annular plate under the action of centrifugal inertia force and the temperature stress distributed along the radial direction were obtained. After this, the differential equation with variable coefficients was solved with the differential quadrature method. Finally, through numerical simulations, the effects of the innerouter diameter ratio, the functionally gradient parameters, the rotation speed, the nonlocal parameters and the temperature on the dimensionless natural frequencies of the annular plate were analyzed.
- nonlocal theory /
- functionally graded material /
- nano annular plate /
- differential quadrature method /
- natural frequency

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参考文献(24)

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热环境中旋转功能梯度纳米环板的振动分析

doi: 10.21656/1000-0887.410090

作者简介:
刘旭（1995—）,男，硕士生（E-mail: xliu1@stu.suda.edu.cn）;姚林泉（1961—），男，教授，博士，博士生导师（通讯作者. E-mail: lqyao@suda.edu.cn）.

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Vibration Analysis of Rotating Functionally Gradient Nano Annular Plates in Thermal Environment

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留言板

热环境中旋转功能梯度纳米环板的振动分析

doi: 10.21656/1000-0887.410090

作者简介: 刘旭（1995—）,男，硕士生（E-mail: xliu1@stu.suda.edu.cn）;姚林泉（1961—），男，教授，博士，博士生导师（通讯作者. E-mail: lqyao@suda.edu.cn）.

计量

出版历程

Vibration Analysis of Rotating Functionally Gradient Nano Annular Plates in Thermal Environment

计量

出版历程

目录

作者简介:
刘旭（1995—）,男，硕士生（E-mail: xliu1@stu.suda.edu.cn）;姚林泉（1961—），男，教授，博士，博士生导师（通讯作者. E-mail: lqyao@suda.edu.cn）.