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)

Bissanga Gabriel; Jiang Furu

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(10): 865-877

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.

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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

Received Date: 1997-04-25
Rev Recd Date: 1998-05-30
Publish Date: 1998-10-15

Abstract

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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References(6)

References

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