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扁球壳在均布压力与均匀温度场联合作用下的屈曲

赵伟东 杨亚平

赵伟东, 杨亚平. 扁球壳在均布压力与均匀温度场联合作用下的屈曲[J]. 应用数学和力学, 2015, 36(3): 262-273. doi: 10.3879/j.issn.1000-0887.2015.03.004
引用本文: 赵伟东, 杨亚平. 扁球壳在均布压力与均匀温度场联合作用下的屈曲[J]. 应用数学和力学, 2015, 36(3): 262-273. doi: 10.3879/j.issn.1000-0887.2015.03.004
ZHAO Wei-dong, YANG Ya-ping. Buckling of Shallow Spherical Shells Under Uniform Pressure in Uniform Temperature Field[J]. Applied Mathematics and Mechanics, 2015, 36(3): 262-273. doi: 10.3879/j.issn.1000-0887.2015.03.004
Citation: ZHAO Wei-dong, YANG Ya-ping. Buckling of Shallow Spherical Shells Under Uniform Pressure in Uniform Temperature Field[J]. Applied Mathematics and Mechanics, 2015, 36(3): 262-273. doi: 10.3879/j.issn.1000-0887.2015.03.004

扁球壳在均布压力与均匀温度场联合作用下的屈曲

doi: 10.3879/j.issn.1000-0887.2015.03.004
详细信息
    作者简介:

    赵伟东(1972—),男,甘肃靖远人,副教授,硕士(通讯作者. E-mail: zhwd.xbl@163.com).

  • 中图分类号: TU43

Buckling of Shallow Spherical Shells Under Uniform Pressure in Uniform Temperature Field

  • 摘要: 根据扁壳几何非线性理论,推导了均布压力与均匀温度场联合作用下的扁球壳的位移型几何非线性控制方程.考虑夹紧边界条件,采用打靶法得到了扁球壳轴对称弯曲与屈曲的数值结果.讨论了壳体几何参数对平衡路径、临界荷载的影响.给出了壳体临界几何参数.当几何参数大于临界几何参数时,上、下临界荷载都随几何参数增加而增加.给定几何参数时,考察了不同均匀温度场对壳体上、下临界荷载、临界几何参数以及平衡构型的影响.均匀升温会使上临界荷载显著增加,会使下临界荷载略有减小.均匀变温会使临界几何参数改变.
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出版历程
  • 收稿日期:  2014-07-04
  • 修回日期:  2015-01-29
  • 刊出日期:  2015-03-15

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