二维周期性单胞网格结构的等效热弹性分析

张朝晖; 李宝辉; 史姣

doi:10.21656/1000-0887.390025

二维周期性单胞网格结构的等效热弹性分析

doi: 10.21656/1000-0887.390025

¹西北农林科技大学水利与建筑工程学院, 陕西杨凌 712100;²杨凌职业技术学院交通与测绘工程分院, 陕西杨凌 712100

基金项目: 国家自然科学基金（51505388）；国家重点研发计划（2017YFC0405102）；中央高校基本科研业务费（2452017119）

详细信息

作者简介:
张朝晖（1977—），男，副教授，博士生（E-mail: zzhgmj@163.com）;李宝辉（1984—），男，讲师，博士（E-mail: libaohui84@163.com）;史姣（1976—），女，副教授，博士，硕士生导师（通讯作者. E-mail: shijiaoau@163.com）.

中图分类号: TV31
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出版历程
- 收稿日期: 2018-01-16
- 修回日期: 2018-04-25
- 刊出日期: 2018-06-15

Equivalent ThermoElasticity Analysis of 2D Lattice Structures With Periodic Unit Cells

¹College of Water Resources and Architectural Engineering, Northwest A & F University, Yangling, Shaanxi 712100, P.R.China;²College of Transportation and Surveying, Yangling Vocational and Technical College, Yangling, Shaanxi 712100, P.R.China

Funds: The National Natural Science Foundation of China（51505388）；The National Key Research and Development Project of China（2017YFC0405102）

摘要

摘要: 分析了含周期性杆件胞元的二维网格结构的热弹性性质.根据拟膜法推导了网格结构的等效热膨胀系数.将结构的拟膜的等效热膨胀系数表示成为胞元内各杆几何与物理参数的显式函数形式.基于胞元在热荷载作用变形后的新尺寸给出了拟膜的等效弹性参数表达式.通过数值算例分析了结构在降温、增温和温度不变条件下的变形差异.然后，用网格结构、拟连续体的数值解与理论解进行了对比分析.结果表明上述热弹性参数表达式正确.由此将拟膜法推广到二维网格结构的热弹性分析中.
- 均匀化 /
- 网格结构 /
- 拟膜法 /
- 热弹性 /
- 胞元
Abstract: The thermo-elasticity of 2D lattice structures with periodic unit cells was studied. The lattice structure was homogenized as a pseudo-membrane (PM) structure and the equivalent thermal expansion coefficients (TECs) of the PM were derived. The TECs were expressed as explicit functions of the geometrical and physical parameters of the links in unit cells. Simultaneously, the elastic properties were re-defined based on the new geometry of the unit cell under thermal load. Numerical results were given to show the difference between the deformations of the structure under different thermo-mechanical loads, and a uniform pressure was applied on the top surface of the cantilever beam with or without thermal loads (the temperature increment was positive, negative or null, respectively). In simulation, the deformations of the lattice structure beams (with different sizes of unit cells) and the corresponding PM beams were calculated numerically. The theoretical solution of the beam deformation was also given with the elasticity of the PM beam. Differences between the solutions verify the correctness of the derived equivalent parameters. Results show the validity of the PM method for equivalent thermo-mechanical analysis of 2D lattice structures with periodic unit cells.
- homogenization /
- lattice structure /
- pseudo-membrane method /
- thermo-elasticity /
- unit cell

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参考文献(20)

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二维周期性单胞网格结构的等效热弹性分析

doi: 10.21656/1000-0887.390025

作者简介:
张朝晖（1977—），男，副教授，博士生（E-mail: zzhgmj@163.com）;李宝辉（1984—），男，讲师，博士（E-mail: libaohui84@163.com）;史姣（1976—），女，副教授，博士，硕士生导师（通讯作者. E-mail: shijiaoau@163.com）.

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Equivalent ThermoElasticity Analysis of 2D Lattice Structures With Periodic Unit Cells

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留言板

二维周期性单胞网格结构的等效热弹性分析

doi: 10.21656/1000-0887.390025

作者简介: 张朝晖（1977—），男，副教授，博士生（E-mail: zzhgmj@163.com）;李宝辉（1984—），男，讲师，博士（E-mail: libaohui84@163.com）;史姣（1976—），女，副教授，博士，硕士生导师（通讯作者. E-mail: shijiaoau@163.com）.

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Equivalent ThermoElasticity Analysis of 2D Lattice Structures With Periodic Unit Cells

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出版历程

目录

作者简介:
张朝晖（1977—），男，副教授，博士生（E-mail: zzhgmj@163.com）;李宝辉（1984—），男，讲师，博士（E-mail: libaohui84@163.com）;史姣（1976—），女，副教授，博士，硕士生导师（通讯作者. E-mail: shijiaoau@163.com）.