The Perturbation Parameter in the Problem of Large Deflection of Clamped Circular Plates

Chen Shan-lin; Kuang Ji-chang

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Article Navigation > Applied Mathematics and Mechanics > 1981 > 2(1): 131-144

Chen Shan-lin, Kuang Ji-chang. The Perturbation Parameter in the Problem of Large Deflection of Clamped Circular Plates[J]. Applied Mathematics and Mechanics, 1981, 2(1): 131-144.

Citation:

Chen Shan-lin, Kuang Ji-chang. The Perturbation Parameter in the Problem of Large Deflection of Clamped Circular Plates[J]. Applied Mathematics and Mechanics, 1981, 2(1): 131-144.

Citation:

Chen Shan-lin, Kuang Ji-chang. The Perturbation Parameter in the Problem of Large Deflection of Clamped Circular Plates[J]. Applied Mathematics and Mechanics, 1981, 2(1): 131-144.

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The Perturbation Parameter in the Problem of Large Deflection of Clamped Circular Plates

Tsinghua University, Beijing

Received Date: 1980-03-20
Publish Date: 1981-02-15

Abstract

Abstract

In the problems of large deflection of clamped circular plates under uniformly distributed loads, various perturbation parameters relating to load, deflection, slope of deflection, membrane force, etc, are studied. For a general perturbation parameter, the variational principle is used for the solution of such a problem. The applicable range of these perturbation parameters are studied in detail. In the case of uniformly loaded plate, perturbation parameter relating to central deflection seems to be the best among all others. The method of determination of perturbation solution by means of variational principle can be used to treat a variety of problems, including the large deflection problems under combine loads.

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References(12)

References

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