| 关于大几何参数的开顶扁球壳屈曲问题的奇摄动* |
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| 引用本文： | 康盛亮.关于大几何参数的开顶扁球壳屈曲问题的奇摄动*[J].应用数学和力学,1995,16(5):431-442. |
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| 作者姓名： | 康盛亮 |
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| 作者单位： | 上海同济大学 上海 200092 |
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| 摘 要： | 本文利用修正多重尺度法研究了大几何参数的具有刚性中心的边缘铰接的开顶扁球壳,在复合载荷作用下的非线性稳定问题。求得了扁壳几何参数h值较大时,本问题的一致有效的渐近解。
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| 关 键 词： | 扁球壳 边界层 奇异摄动 |
| 收稿时间： | 1994-07-04 |
The Singular Perturbation for the Buckling of aTruncatedShallow Spherical Shell with the LargeGeometrical Parameter |
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| Kang Sheng-liang.The Singular Perturbation for the Buckling of aTruncatedShallow Spherical Shell with the LargeGeometrical Parameter[J].Applied Mathematics and Mechanics,1995,16(5):431-442. |
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| Authors: | Kang Sheng-liang |
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| Institution: | Tongji University, Shanghai 2000 |
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| Abstract: | A problem of practical interest for nonlinear axisymmetrical stability of atruncated shallow spherical shell of the largz geometrical parameter with an ar-ticulated external edge and a nondeformable rigid body at the center under com-pound loads is investigated in this paper. By using modified method of multiplescales, the uniformly valid assyinptotic solutions of this boundary value problemare obtained when the geoinetrical parameter k is large. |
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| Keywords: | shallow shell boundary layer singular perturbation |
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