| 多重尺度法应用于变厚度开顶扁球壳在复合载荷下的非线性稳定问题 |
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| 引用本文： | 康盛亮.多重尺度法应用于变厚度开顶扁球壳在复合载荷下的非线性稳定问题[J].应用数学和力学,2001,22(10):1081-1091. |
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| 作者姓名： | 康盛亮 |
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| 作者单位： | 同济大学应用数学系 |
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| 摘 要： | 利用改进多重尺度法研究了大几何参数的变厚度的具有刚性中心的开顶扁球壳，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k值较大时，本问题的一致有效的渐近解，并进行了余项误差估计。
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| 关 键 词： | 变厚度扁壳 非线性稳定性 改进多重尺度法 扁球壳 复合载荷 |
| 文章编号： | 10000887(2001)10108111 |
| 修稿时间： | 1999年10月25 |
The Method of Multiple Scales Applied to the Nonlinear Stability Problem of a Truncated Shallow Spherical Shell of Variable Thickness With the Large Geometrical Parameter |
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| KANG Sheng_liang.The Method of Multiple Scales Applied to the Nonlinear Stability Problem of a Truncated Shallow Spherical Shell of Variable Thickness With the Large Geometrical Parameter[J].Applied Mathematics and Mechanics,2001,22(10):1081-1091. |
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| Authors: | KANG Sheng_liang |
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| Abstract: | Using the modified method of multiple scales, the nonlinear stability of a truncated shallow spherical shell of variable thickness with a nondeformable rigid body at the center under compound loads is investigated. When the geometrical parameter k is larger, the uniformly valid asymptotic solutions of this problem are obtained and the remainder terms are estimated. |
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| Keywords: | shallow shell of variable thickness nonlinear stability modified method of multiple scales |
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