On the Solution of Elliptic Equation Σa<sub>k</sub>Δ<sup>k</sup>φ=0 and Its Application in Mechanics

Gai Bing-zheng

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Gai Bing-zheng. On the Solution of Elliptic Equation ΣakΔkφ=0 and Its Application in Mechanics[J]. Applied Mathematics and Mechanics, 1981, 2(4): 445-454.

Citation:

Gai Bing-zheng. On the Solution of Elliptic Equation Σa_kΔ^kφ=0 and Its Application in Mechanics[J]. Applied Mathematics and Mechanics, 1981, 2(4): 445-454.

Gai Bing-zheng. On the Solution of Elliptic Equation ΣakΔkφ=0 and Its Application in Mechanics[J]. Applied Mathematics and Mechanics, 1981, 2(4): 445-454.

Citation:

Gai Bing-zheng. On the Solution of Elliptic Equation Σa_kΔ^kφ=0 and Its Application in Mechanics[J]. Applied Mathematics and Mechanics, 1981, 2(4): 445-454.

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On the Solution of Elliptic Equation Σa_kΔ^kφ=0 and Its Application in Mechanics

Gai Bing-zheng

Harbin Institute of Technology, Harbin

Received Date: 1980-03-11
Publish Date: 1981-08-15

Abstract

Abstract

In this paper, the solution of elliptic equation is discussedin detail by the method of separation of variables in complex field. The general solution which can be used in the approximation to the boundary conditions of the practical problems is presented. Two practical examples in mechanics are given.

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References(3)

References

[1]	Векуа,И.Н,椭圆型方程的新解法(侯宗义译),上海科技出版社,(1963). 213-220.
[2]	Влосов,В.З,壳体的一般理论(薛振东,朱世靖译)高等教育出版社,北京(1965), 302-329.
[3]	刘殿魁,盖秉政,陶贵源;论孔附近的动应力集中,地振工程与工程振动,1,(1980), 97-110.