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薄球壳在均布外压与温度耦合作用下的热屈曲研究

李忱 田雪坤 王海任 苗亚男

李忱, 田雪坤, 王海任, 苗亚男. 薄球壳在均布外压与温度耦合作用下的热屈曲研究[J]. 应用数学和力学, 2015, 36(9): 924-935. doi: 10.3879/j.issn.1000-0887.2015.09.004
引用本文: 李忱, 田雪坤, 王海任, 苗亚男. 薄球壳在均布外压与温度耦合作用下的热屈曲研究[J]. 应用数学和力学, 2015, 36(9): 924-935. doi: 10.3879/j.issn.1000-0887.2015.09.004
LI Chen, TIAN Xue-kun, WANG Hai-ren, MIAO Ya-nan. Thermal Buckling of Thin Spherical Shells Under Interaction of Uniform External Pressure and Uniform Temperature[J]. Applied Mathematics and Mechanics, 2015, 36(9): 924-935. doi: 10.3879/j.issn.1000-0887.2015.09.004
Citation: LI Chen, TIAN Xue-kun, WANG Hai-ren, MIAO Ya-nan. Thermal Buckling of Thin Spherical Shells Under Interaction of Uniform External Pressure and Uniform Temperature[J]. Applied Mathematics and Mechanics, 2015, 36(9): 924-935. doi: 10.3879/j.issn.1000-0887.2015.09.004

薄球壳在均布外压与温度耦合作用下的热屈曲研究

doi: 10.3879/j.issn.1000-0887.2015.09.004
基金项目: 国家自然科学基金(11372207);山西省自然科学基金(2013011005-4)
详细信息
    作者简介:

    李忱(1959—),男,浙江人,教授,博士,硕士生导师(通讯作者. E-mail: tydz_lc@126.com).

  • 中图分类号: O343.6

Thermal Buckling of Thin Spherical Shells Under Interaction of Uniform External Pressure and Uniform Temperature

Funds: The National Natural Science Foundation of China(11372207)
  • 摘要: 从张量方法推导出的轴对称薄球壳屈曲方程出发,推导出在均布外压与温度耦合作用下用位移表示的薄球壳热屈曲方程;应用虚功原理建立薄球壳屈曲最小势能泛函;进一步用Ritz(里兹)法分析了周边简支的半球壳的3种热屈曲问题.得到了: 1) 温度不超过屈曲临界温度值时,均布外压的临界载荷;2) 均布外压载荷为0时,屈曲临界温度值;3) 均布外压载荷不超过临界载荷时,屈曲临界温度值.
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出版历程
  • 收稿日期:  2015-05-14
  • 修回日期:  2015-06-25
  • 刊出日期:  2015-09-15

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