含圆孔功能梯度压电材料板的力电耦合三维解析解

张友源; 范慧朵; 沈璐璐; 杨博

doi:10.21656/1000-0887.460016

含圆孔功能梯度压电材料板的力电耦合三维解析解

doi: 10.21656/1000-0887.460016

张友源¹,
范慧朵¹,
沈璐璐¹,
杨博^1,2, ,

1. 浙江理工大学建筑工程学院，杭州 310018;
2. 浙江建设职业技术学院建筑工程学院，杭州 311231

基金项目:

国家自然科学基金(11872336)

详细信息

作者简介:
张友源(2000—), 男, 硕士生(E-mail: 1161321979@qq.com);范慧朵(1999—), 女, 硕士生(E-mail: 19857129053@163.com);沈璐璐(1990—), 女, 副教授, 博士(E-mail: lulushen@zstu.edu.cn);杨博(1979—), 男, 教授, 博士(通讯作者. E-mail: youngbo@zstu.edu.cn).

通讯作者:
杨博(1979—), 男, 教授, 博士(通讯作者. E-mail: youngbo@zstu.edu.cn).

中图分类号: O343.8
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出版历程
- 收稿日期: 2025-01-24
- 修回日期: 2025-03-24
- 网络出版日期: 2025-12-05

3D Analytical Solutions of Mechatronic Coupling for Functionally Graded Piezoelectric Material Plates With a Circular Hole

1. School of Civil Engineering and Architecture, Zhejiang SciTech University, Hangzhou 310018, P.R.China;
2. Construction Engineering School, Zhejiang College of Construction, Hangzhou 311231, P.R.China

Funds:

The National Science Foundation of China(11872336)

摘要

摘要: 在推广后的EnglandSpencer功能梯度板理论基础上，该研究进一步将功能梯度弹性材料推广到了功能梯度压电材料，研究了含有圆孔无限大横观各向同性功能梯度压电材料板在机械荷载作用下的三维响应.该板理论将三维问题转化为二维问题，利用复变函数解法，通过求解四个解析函数获得具体边值问题的三维解析解.针对在无穷远处受机械荷载作用的含圆孔功能梯度压电材料板，利用边界条件确定了四个解析函数的具体表达形式.通过数值算例讨论了材料参数沿板厚方向呈指数函数梯度变化时，边界条件和相关参数对圆孔边上三维应力的影响.该解析方法可为分析功能梯度压电板的三维孔口问题提供有效解析求解手段.
- 功能梯度压电材料 /
- 圆孔 /
- 力电耦合 /
- 复变函数 /
- 解析解
Abstract: Based on the extended England-Spencer functionally graded plate theory, the functionally graded elastic material (FGM) was extended to functionally graded piezoelectric material (FGPM) and the responses of the transversely isotropic FGPM plate containing a circular hole were investigated. By virtue of this theory, a 3D boundary value problem can be transformed into a 2D one. The 3D analytical solution was obtained from 4 analytical functions based on the complex variable function method. For a FGPM plate with a circular hole and subjected to mechanical loads, the specific expressions of the 4 analytical functions were determined according to the boundary conditions. Numerical examples were presented to discuss the effects of boundary conditions and relevant parameters on the 3D stresses along the circular hole edge with the material parameters varying exponentially along the plate thickness. The analytical method provides an effective tool for accurate analysis of 3D hole-related issues in functionally graded piezoelectric plates.
- functionally graded piezoelectric material /
- circular hole /
- mechatronic coupling /
- complex function /
- analytic solution

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参考文献(21)

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含圆孔功能梯度压电材料板的力电耦合三维解析解

doi: 10.21656/1000-0887.460016

作者简介:
张友源(2000—), 男, 硕士生(E-mail: 1161321979@qq.com);范慧朵(1999—), 女, 硕士生(E-mail: 19857129053@163.com);沈璐璐(1990—), 女, 副教授, 博士(E-mail: lulushen@zstu.edu.cn);杨博(1979—), 男, 教授, 博士(通讯作者. E-mail: youngbo@zstu.edu.cn).

通讯作者:
杨博(1979—), 男, 教授, 博士(通讯作者. E-mail: youngbo@zstu.edu.cn).

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3D Analytical Solutions of Mechatronic Coupling for Functionally Graded Piezoelectric Material Plates With a Circular Hole

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目录

留言板

含圆孔功能梯度压电材料板的力电耦合三维解析解

doi: 10.21656/1000-0887.460016

作者简介: 张友源(2000—), 男, 硕士生(E-mail: 1161321979@qq.com);范慧朵(1999—), 女, 硕士生(E-mail: 19857129053@163.com);沈璐璐(1990—), 女, 副教授, 博士(E-mail: lulushen@zstu.edu.cn);杨博(1979—), 男, 教授, 博士(通讯作者. E-mail: youngbo@zstu.edu.cn).

通讯作者: 杨博(1979—), 男, 教授, 博士(通讯作者. E-mail: youngbo@zstu.edu.cn).

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出版历程

3D Analytical Solutions of Mechatronic Coupling for Functionally Graded Piezoelectric Material Plates With a Circular Hole

计量

出版历程

目录

作者简介:
张友源(2000—), 男, 硕士生(E-mail: 1161321979@qq.com);范慧朵(1999—), 女, 硕士生(E-mail: 19857129053@163.com);沈璐璐(1990—), 女, 副教授, 博士(E-mail: lulushen@zstu.edu.cn);杨博(1979—), 男, 教授, 博士(通讯作者. E-mail: youngbo@zstu.edu.cn).

通讯作者:
杨博(1979—), 男, 教授, 博士(通讯作者. E-mail: youngbo@zstu.edu.cn).