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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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

Department of Applied Mathematics, Tongji University, Shanghai 200092, P R China

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。
- 变厚度扁壳 /
- 非线性稳定性 /
- 改进多重尺度法
Abstract: Using the mo difie d method of multiple scales,the no nlinear stability of a truncated shallow spherical shell of variable thicknes swith a nondefor ma ble rigid body at the center under co mpound loads is investigated.When the geometrical parameter kislarger,the uniformly valid as ymptotic solutions of this problem are obtained and the remainder terms are estimated.
- shallow shell of variable thickness /
- nonlinear stability /
- modified method of multiple scales

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