考虑横向剪切的对称圆柱正交异性层合扁球壳的热屈曲

基金项目: 国家自然科学基金资助项目(10572054)

Thermal Buckling of Axisymmetrically Laminated Cylindrically Orthotropic Shallow Spherical Shells Including Transverse Shear

1.
Infrastructural Construction Department, Jinan University Guangzhou 510632, P. R. China;

摘要: 研究了对称层合圆柱正交异性扁球壳在温度场和均布压力联合作用下的热屈曲问题．考虑横向剪切的影响，应用修正迭代法获得了温度场影响下的临界荷载的解析表达式，讨论了剪切刚度和温度场对临界荷载的影响．
- 修正迭代法 /
- 温度场 /
- 热屈曲 /
- 层合扁球壳
Abstract: The nonlinear thermal buckling of symmetrically laminated cylindrically orthotropic shallow spherical shell under temperature field and uniform pressure including transverse shear is studied by using the modified iteration method. And the analytic formulas for determining the critical buckling loads under different temperature fields were obtained. The effect of transverse shear deformation and different temperature fields on critical buckling loads were discussed in a numerical example.
- modified iteration method /
- temperature field /
- buckling /
- laminated shallow spherical shell

[1]	Whitney J M,Ashton J E.Effect of enviroment on the elastic response of layered composite plates[J].AIAA J,1971,9(9):1708-1713. doi: 10.2514/3.49976
[2]	Flagg D I,Vinson J R.Hygrothermal effects on the buckling of laminated composite plates[J].Fibre Sci and Tech,1978,11(5):353-365. doi: 10.1016/0015-0568(78)90031-3
[3]	Thornton E A. Thermal buckling of plates and shells[J].Appl Mech Rev,1993,146(10):485-506.
[4]	刘人怀.对称圆柱正交异性层合扁球壳的非线性稳定问题[J].应用数学和力学,1991，12（3）:251-258.
[5]	刘人怀.考虑横向剪切的对称层合圆柱正交异性扁球壳的非线性稳定问题[J].中国科学,A辑,1991,21(7):742-751.
[6]	Liu R H, Wang F.Nonlinear dynamic buckling of symmetrically laminated cylindrically orthotropic shallow spherical shells[J].Arch Appl Mech,1998,68(6):375-384. doi: 10.1007/s004190050172
[7]	刘人怀，王王璠.复合材料层合扁球壳的非线性振动屈曲[A].见：第九届全国复合材料学术会议论文集[C].北京：世界图书出版公司，1996，256-261.
[8]	王璠.开孔复合材料扁球壳的非线性动态响应[J].哈尔滨工业大学学报,2000，32（1）:37-40,44.
[9]	王璠.剪切刚度对复合材料层合扁球壳非线性振动屈曲的影响[J].强度与环境，2001，27（1）:34-41.
[10]	王璠,刘人怀.复合材料层合开顶扁球壳的非线性动态屈曲[J].固体力学学报，2001，22（3）：309-314.