Bissanga Gabriel, Jiang Furu. 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)[J]. Applied Mathematics and Mechanics, 1998, 19(10): 865-877.
 Citation: Bissanga Gabriel, Jiang Furu. 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)[J]. Applied Mathematics and Mechanics, 1998, 19(10): 865-877.

# 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)

• Received Date: 1997-04-25
• Rev Recd Date: 1998-05-30
• Publish Date: 1998-10-15
• 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.
•  [1] Chien Weizang,Large deflection of a circular clamped plate under uniform pressure,J.Phy.,7(1947),102-113. [2] Chien Weizang,Asymptotic behaviour of a thin clamped circular plate under uniform normal pressure at very large deflecion,The Science Report of National Tsing Hua University,5(1)(1948),71-94. [3] 钱伟长、叶开沅,圆薄板大挠度问题,中国物理学报,10(3)(1954),209-238. [4] Chuen Yuan Chia,Non-Linear Analysis of Plates,McGraw-Hill,International Book Compary,New-York(1980). [5] A.C.沃耳密尔著,《柔韧板与柔韧壳》,卢文达、黄择言、卢鼎霍译,科学出版社(1963). [6] 乔宗椿,修正多重尺度法在求解圆薄板具有很大挠度问题时的应用,应用数学和力学,14(10)(1993),903-912.

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沈阳化工大学材料科学与工程学院 沈阳 110142

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