修正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)

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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(Ⅰ)

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

摘要: 本文应用修正多重尺度法研究圆板在铰链和简单支承条件下的大挠度弯曲。作出其级数解,分析其边界层效应和证明其渐近性。
- 圆板 /
- 大挠度弯曲 /
- 边界层效应 /
- 渐近性 /
- 修正多重尺度法
Abstract: In this paper, the modified method of multiple scales is applied to study the bending problems for circular thin plate with large deflection under the hinged and simply supported edge conditions. Theseries solutions are constructed, the boundary layer effects are analysed and their asymptotics are proved.
- circular plate /
- large deflection /
- boundary layer effect /
- asymptotics /
- modified method of multiple scales

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