Solution of Sector Plate by Fourier-Bessel Series

Qian Min-gang; Yan Zong-da

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Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(4): 359-376

Qian Min-gang, Yan Zong-da. Solution of Sector Plate by Fourier-Bessel Series[J]. Applied Mathematics and Mechanics, 1985, 6(4): 359-376.

Citation:

Qian Min-gang, Yan Zong-da. Solution of Sector Plate by Fourier-Bessel Series[J]. Applied Mathematics and Mechanics, 1985, 6(4): 359-376.

Citation:

Qian Min-gang, Yan Zong-da. Solution of Sector Plate by Fourier-Bessel Series[J]. Applied Mathematics and Mechanics, 1985, 6(4): 359-376.

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Solution of Sector Plate by Fourier-Bessel Series

Qian Min-gang¹,
Yan Zong-da²

1.
Systems Engineering Institute, Beijing;
2.
Department of Mechanics, Tianjin University, Tianjin

Received Date: 1983-12-02
Publish Date: 1985-04-15

Abstract

Abstract

In this paper a solution of deflection in the form of Fourier-Bessel double series with suplementary terms is proposed to analyse bending and vibration problems of thin elastic sector plate with various edge conditions, This solution is suitable to a wider range, convenient for calculation and it is in an analytical form, As computational examples, the distribution curves of deflection and bending moment of plates with various sector angles simply supported or clamped along the radial edges under uniform or concentrated load are obtained and the results are compared with the numerical results df related references, Thus the range of application of the Fourier series method with supple-mentary terms is extended, Frequencies and nodal lines in free vibration of plates with various sector angles simply supported along the radial edges are also given in this paper.

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References(20)

References

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