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热荷载作用下薄板的优化设计

倪晓琴 程耿东

倪晓琴, 程耿东. 热荷载作用下薄板的优化设计[J]. 应用数学和力学, 2015, 36(3): 233-241. doi: 10.3879/j.issn.1000-0887.2015.03.001
引用本文: 倪晓琴, 程耿东. 热荷载作用下薄板的优化设计[J]. 应用数学和力学, 2015, 36(3): 233-241. doi: 10.3879/j.issn.1000-0887.2015.03.001
NI Xiao-qin, CHENG Geng-dong. Optimal Design of Thin Solid Elastic Plates Under Thermal Load[J]. Applied Mathematics and Mechanics, 2015, 36(3): 233-241. doi: 10.3879/j.issn.1000-0887.2015.03.001
Citation: NI Xiao-qin, CHENG Geng-dong. Optimal Design of Thin Solid Elastic Plates Under Thermal Load[J]. Applied Mathematics and Mechanics, 2015, 36(3): 233-241. doi: 10.3879/j.issn.1000-0887.2015.03.001

热荷载作用下薄板的优化设计

doi: 10.3879/j.issn.1000-0887.2015.03.001
详细信息
    作者简介:

    倪晓琴(1988—),女,山东人,硕士生(通讯作者. E-mail: nixiaoqin@mail.dlut.edu.cn);程耿东(1941—),男,江苏人,中科院院士,博士生导师(E-mail: chenggd@dlut.edu.cn).

  • 中图分类号: O343

Optimal Design of Thin Solid Elastic Plates Under Thermal Load

  • 摘要: 板壳结构是一大类广泛使用的结构元件.在热荷载作用下,当热膨胀受到约束时,板壳结构产生内力及挠度,严重时影响结构的正常服役.由于热荷载的特殊性,简单地均匀加大板壳结构的厚度并不能有效地减少热变形和热应力,热结构设计因此特别困难.该文研究在给定材料体积的条件下,通过优化板壳结构的厚度分布来减少弹性薄板结构在热载荷下的变形.以结构的变形能为优化目标,在给定材料体积的条件下,建立了设计板壳结构厚度分布的优化问题列式,并采用变分法,推导出优化准则,给出了修改厚度的迭代公式.应用商用有限元软件的热结构分析功能,对程序进行二次开发,从而实现该优化算法.算例结果表明,采用该方法优化弹性薄板的厚度分布,可以大幅度地减小结构热变形,是一种有效的热结构设计方法.
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出版历程
  • 收稿日期:  2014-11-11
  • 修回日期:  2015-01-07
  • 刊出日期:  2015-03-15

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