格栅夹层梁热弯曲的等效微极热弹性分析

张锐; 尚新春

doi:10.3879/j.issn.1000-0887.2015.09.005

格栅夹层梁热弯曲的等效微极热弹性分析

doi: 10.3879/j.issn.1000-0887.2015.09.005

张锐¹,
尚新春^1,2

¹北京科技大学国家材料服役安全科学中心, 北京 100083;²北京科技大学数理学院应用力学系, 北京 100083

基金项目: 国家高技术研究发展计划（863计划）(2012AA03A513)

详细信息

作者简介:
张锐（1985—），男，黑龙江虎林人，博士生(E-mail: zhangrui19852424@163.com)；尚新春（1958—），男，山西朔州人，教授，博士，博士生导师(通讯作者. E-mail: shangxc@ustb.edu.cn).

中图分类号: TB331;O343.6
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- 文章访问数: 1632
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出版历程
- 收稿日期: 2015-02-27
- 修回日期: 2015-05-06
- 刊出日期: 2015-09-15

Equivalent Micropolar Thermoelastic Analysis of Thermal Bending for Grid Sandwich Beams

ZHANG Rui¹,
SHANG Xin-chun^1,2

¹National Center for Materials Service Safety, University of Science and Technology Beijing, Beijing 100083, P.R.China;²Department of Applied Mechanics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P.R.China

Funds: The National Hightech R&D Program of China(863 Program)(2012AA03A513)

摘要

摘要: 将格栅夹层梁热弯曲等效为微极热弹性梁的受热变形，利用平面微极热弹性理论建立了微极梁受热变形的控制方程组，给出了温度载荷下微极梁的位移表达式.通过胞元能量等效的方法，得到了研究的格栅夹层梁等效微极热弹性梁材料参数.对比了等效微极梁模型和ANSYS有限元软件计算得到的温度载荷下悬臂格栅夹层梁受热弯曲变形的数值结果，两种方法得到的结果非常接近，证明了微极热弹性梁是一种简单有效的模拟格栅夹层梁热变形的等效模型.
- 格栅夹层梁 /
- 热弯曲 /
- 微极热弹性 /
- 均匀化方法
Abstract: The thermal bending of the grid sandwich beam was considered to be equivalent to the deformation of the micropolar thermoelastic beam under thermal load, and the control equations of thermal deformation for the equivalent micropolar thermoelastic beam were established based on the plane micropolar thermoelastic theory, with the expression of the thermal displacements given. The material parameters of the equivalent micropolar thermoelastic beam were obtained with the cell energy equivalence method. The example cantilever grid sandwich beam’s thermal bending deformations calculated according to the proposed analytical equivalent micropolar beam model and the numerical Ansys FEM were compared. The results from the proposed analytical method are perfectly close to those from the numerical mothod, which validates that the equivalent micropolar thermoelastic beam is a simple and effective model to simulate the thermal deformations of grid sandwich beams.
- grid sandwich beam /
- thermal bending /
- micropolar thermo elasticity /
- homogenization method

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参考文献(22)

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格栅夹层梁热弯曲的等效微极热弹性分析

doi: 10.3879/j.issn.1000-0887.2015.09.005

作者简介:
张锐（1985—），男，黑龙江虎林人，博士生(E-mail: zhangrui19852424@163.com)；尚新春（1958—），男，山西朔州人，教授，博士，博士生导师(通讯作者. E-mail: shangxc@ustb.edu.cn).

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Equivalent Micropolar Thermoelastic Analysis of Thermal Bending for Grid Sandwich Beams

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留言板

格栅夹层梁热弯曲的等效微极热弹性分析

doi: 10.3879/j.issn.1000-0887.2015.09.005

作者简介: 张锐（1985—），男，黑龙江虎林人，博士生(E-mail: zhangrui19852424@163.com)；尚新春（1958—），男，山西朔州人，教授，博士，博士生导师(通讯作者. E-mail: shangxc@ustb.edu.cn).

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出版历程

Equivalent Micropolar Thermoelastic Analysis of Thermal Bending for Grid Sandwich Beams

计量

出版历程

目录

作者简介:
张锐（1985—），男，黑龙江虎林人，博士生(E-mail: zhangrui19852424@163.com)；尚新春（1958—），男，山西朔州人，教授，博士，博士生导师(通讯作者. E-mail: shangxc@ustb.edu.cn).