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格栅夹层梁热弯曲的等效微极热弹性分析

张锐 尚新春

张锐, 尚新春. 格栅夹层梁热弯曲的等效微极热弹性分析[J]. 应用数学和力学, 2015, 36(9): 936-944. doi: 10.3879/j.issn.1000-0887.2015.09.005
引用本文: 张锐, 尚新春. 格栅夹层梁热弯曲的等效微极热弹性分析[J]. 应用数学和力学, 2015, 36(9): 936-944. doi: 10.3879/j.issn.1000-0887.2015.09.005
ZHANG Rui, SHANG Xin-chun. Equivalent Micropolar Thermoelastic Analysis of Thermal Bending for Grid Sandwich Beams[J]. Applied Mathematics and Mechanics, 2015, 36(9): 936-944. doi: 10.3879/j.issn.1000-0887.2015.09.005
Citation: ZHANG Rui, SHANG Xin-chun. Equivalent Micropolar Thermoelastic Analysis of Thermal Bending for Grid Sandwich Beams[J]. Applied Mathematics and Mechanics, 2015, 36(9): 936-944. 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
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

Equivalent Micropolar Thermoelastic Analysis of Thermal Bending for Grid Sandwich Beams

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

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