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

LI Chen; TIAN Xue-kun; WANG Hai-ren; MIAO Ya-nan

doi:10.3879/j.issn.1000-0887.2015.09.004

Volume 36 Issue 9

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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

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

doi: 10.3879/j.issn.1000-0887.2015.09.004

College of Applied Science, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, P.R.China

Funds: The National Natural Science Foundation of China(11372207)

Received Date: 2015-05-14
Rev Recd Date: 2015-06-25
Publish Date: 2015-09-15

Abstract

Abstract

The thermal buckling equation for thin spherical shells was deduced on the basis of axisymmetric thin spherical shell buckling equation derived with the tensor method. The thermal buckling equation involving the coupling of uniform external pressure and temperature was expressed in terms of displacement. The thin spherical shell buckling of minimum potential energy functional was also established according to the virtual work principle. 3 thermal buckling problems for simply supported hemispherical shells were analyzed with the Ritz method. The following 3 conclusions are drawn: 1) The critical value of uniform external pressure on condition that the temperature does not exceed the critical buckling level. 2) The buckling critical temperature value on condition that the uniform external pressure is 0. 3) The buckling critical temperature value on condition that the uniform external pressure does not exceed the critical level.
- tensor,
- thermal buckling,
- thin spherical shell,
- Ritz method,
- critical load,
- critical temperature

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References(16)

References

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