多重尺度法在圆薄板大挠度弯曲问题中的应用及其渐近性研究(Ⅱ)

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Application of the Modified Method of Multiple Scales to the Bending Problems for Circular Thin Plate at Very Large Deflection and the Asymptotics of Solutions(Ⅱ)

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P R China

摘要: 本文是第(Ⅰ)部分的继续,研究(Ⅰ)中级数解的渐近性质.求得了级数解的余项按最大模的估计.
- 大挠度弯曲 /
- 修正多重尺度法 /
- 渐近性质
Abstract: This paper is a continuation of part(Ⅰ),on the asymptotics behaviors of the series solutions investigated in(Ⅰ).The remainder terms of the series solutions are estimated by the maximum norm.
- large deflection /
- modified method of multiple scales /
- asymptotic behaviors

[1]	毕山卡卡布里那勒,江福汝.多重尺度法在圆薄板大挠度弯曲问题中的应用及其渐近性研究(Ⅰ)[J].应用数学和力学,1998,19(10):865~877.
[2]	Eckhaus W.Asymptotic analysis of singular perturbations[A].In:J L Lions,G Papanicolaou,R T Rockfellar Eds.Studies in Mathematics and Its Applications,Vol,9[C],Amsterdam,New York,Oxford:North-Holland,Publishing Company,1979,190.