圆板在局部Gauss温度场作用下的响应分析

龙连春; 张超亚

doi:10.3879/j.issn.1000-0887.2016.04.007

圆板在局部Gauss温度场作用下的响应分析

doi: 10.3879/j.issn.1000-0887.2016.04.007

北京工业大学机械工程与应用电子技术学院, 北京 100124

基金项目: 国家自然科学基金（11272020）

详细信息

作者简介:
龙连春（1963—），男，教授，博士，硕士生导师(通讯作者. E-mail: longlc@bjut.edu.cn)；张超亚（1990—），男，硕士生(E-mail: chaoyz_1990@sina.com).

中图分类号: TB125;O343.6
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出版历程
- 收稿日期: 2015-11-11
- 修回日期: 2016-01-04
- 刊出日期: 2016-04-15

Response Analysis of Thin Circular Plates in the Local Gaussian Temperature Field

College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, P.R.China

Funds: The National Natural Science Foundation of China（11272020）

摘要

摘要: 基于薄板热弯曲理论，推导了圆板在Gauss(高斯)温度场作用下的挠度和热应力解析表达式，分析了边界条件和局部温度参数对圆板挠度和热应力的影响，为局部温度变化薄板结构的热力学分析提供理论依据.研究结果表明：圆板中心处的挠度和压应力有最大值；在热影响区内，圆板内一点的挠度随着该点到板中心距离的增大呈Gauss型减小趋势；在热影响区外，圆板挠度的变化趋势与圆板边界约束形式和辐照因子有关，辐照因子越大，边界简支圆板挠度越先呈线性减小趋势；圆板挠度的解析解与有限元解一致.在热影响区内，圆板内一点的热应力随着该点到板中心距离的增大呈Gauss型减小趋势，两种边界约束圆板的热应力变化趋势相似；在热影响区外，圆板热应力的变化趋势与圆板边界约束形式和辐照因子有关.
- 圆板 /
- 边界条件 /
- 热应力 /
- 热变形 /
- 局部温度变化
Abstract: Based on the theory for thermal bending of thin plates, the analytical expressions for deflections and thermal stresses of circular plates were derived in the Gaussian temperature field, and the influences of boundary conditions and local temperature parameters on the deflections and thermal stresses were discussed, thus to provide a theoretical basis for the thermodynamics analysis of thin plate structures under local heating. The results show that, the maximum values of both deflections and compressive stresses occur at the circular plates’centers. Within the heat-impacted zone of the circular plate, the deflection at a point shows a trend of the Gaussian decrease with the increase of the distance from the point to the plate center. Outside the heat-impacted zone, the boundary constraints on the circular plate and the irradiation factor influence the changes of deflections. The analytical solutions of the circular plate deflections are consistent with the numerical results. The deflection of the simply supported circular plate firstly decreases linearly with the irradiation factor. Within the heat-impacted zone, thermal stresses at a point show a trend of the Gaussian decrease with the increase of the distance from the point to the plate center. The changing trends of the thermal stresses are similar between the simply supported and the clamped circular plates. Outside the heat-impacted zone, the boundary constraints and the irradiation factor influence the changing trends of thermal stresses.
- circular plate /
- boundary condition /
- thermal stress /
- thermal deformation /
- local temperature change

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参考文献(13)

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圆板在局部Gauss温度场作用下的响应分析

doi: 10.3879/j.issn.1000-0887.2016.04.007

作者简介:
龙连春（1963—），男，教授，博士，硕士生导师(通讯作者. E-mail: longlc@bjut.edu.cn)；张超亚（1990—），男，硕士生(E-mail: chaoyz_1990@sina.com).

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Response Analysis of Thin Circular Plates in the Local Gaussian Temperature Field

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圆板在局部Gauss温度场作用下的响应分析

doi: 10.3879/j.issn.1000-0887.2016.04.007

作者简介: 龙连春（1963—），男，教授，博士，硕士生导师(通讯作者. E-mail: longlc@bjut.edu.cn)；张超亚（1990—），男，硕士生(E-mail: chaoyz_1990@sina.com).

计量

出版历程

Response Analysis of Thin Circular Plates in the Local Gaussian Temperature Field

计量

出版历程

目录

作者简介:
龙连春（1963—），男，教授，博士，硕士生导师(通讯作者. E-mail: longlc@bjut.edu.cn)；张超亚（1990—），男，硕士生(E-mail: chaoyz_1990@sina.com).