Yang Chia-shih, Xie Zhi-cheng. Perturbation Method in the Problem of Large Deflections of Circular Plates with Nonuniform Thickness[J]. Applied Mathematics and Mechanics, 1984, 5(2): 255-261.
Citation:
Yang Chia-shih, Xie Zhi-cheng. Perturbation Method in the Problem of Large Deflections of Circular Plates with Nonuniform Thickness[J]. Applied Mathematics and Mechanics, 1984, 5(2): 255-261.
Yang Chia-shih, Xie Zhi-cheng. Perturbation Method in the Problem of Large Deflections of Circular Plates with Nonuniform Thickness[J]. Applied Mathematics and Mechanics, 1984, 5(2): 255-261.
Citation:
Yang Chia-shih, Xie Zhi-cheng. Perturbation Method in the Problem of Large Deflections of Circular Plates with Nonuniform Thickness[J]. Applied Mathematics and Mechanics, 1984, 5(2): 255-261.
In this paper the perturbation method about two parameters is applied to the problem of large deflections of a circular plate with exponentially varying thicknesses under uniform pressure, An asymtotic solution up to the third-order is derived. In comparison with the exact solutions in special cases,the asymtotic solution shows a precise accuracy.