A New Numerical Method for Axisymmetrical Bending of Circular Plates with Large Deflection

Jian Jun Zheng; Xin Zhu Zhou

doi:10.4028/www.scientific.net/KEM.353-358.2699

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 353-358A New Numerical Method for Axisymmetrical Bending...

A New Numerical Method for Axisymmetrical Bending of Circular Plates with Large Deflection

Abstract:

A simple and efficient spline integral equation method is presented in this paper for the axisymmetrical bending of circular plates with large deflection. Based on two second-order differential equations in terms of the slope of the deflection surface and the radial displacement of the circular plate, two integral equations are derived. The circular plate is then equidistantly divided into a circular plate element and a series of annular plate elements along its radial direction and the slope of the deflection surface and the radial displacement are both approximated by cubic spline interpolation. The two integral equations are solved numerically and the displacements and internal forces at any point within the circular plate can be obtained. Finally, some numerical results are presented for illustrating the validity of the proposed method. It can be concluded that the proposed numerical method can be used to analyze circular plates with large deflection with reasonable accuracy.

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Periodical:

Key Engineering Materials (Volumes 353-358)

Pages:

2699-2702

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.353-358.2699

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Online since:

September 2007

Authors:

Jian Jun Zheng, Xin Zhu Zhou

Keywords:

Axisymmetrical Bending, Circular Plate, Large Deflection, Spline Integral Equation Method

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References

[1] S. Timoshenko: Theory of Plates and Shells (McGraw-Hill Book Company, U.S. 1940).

Google Scholar

[2] W. Z. Chien and K.Y. Yeh: China Science Vol. 3 (1954), p.405.

Google Scholar

[3] R.H. Liu: Solid Mechanics Archives Vol. 9 (1984), p.383.

Google Scholar

[4] Y.C. Wang: Journal of Hefei Polytechnic University Vol. 7 (1985), p.1.

Google Scholar

[5] P.P. DaSilva and W. Krauth: International Journal of Modern Physics C Vol. 8 (1997), p.427.

Google Scholar

[6] J.J. Cao: Quarterly Journal of Mechanics and Applied Mathematics Vol. 50 (1997), p.333.

Google Scholar

[7] B. Gabriel and F.R. Jiang: Applied Mathematics and Mechanics Vol. 19 (1998), p.937.

Google Scholar

[8] L.S. Ramachandra and D.A. Roy: Journal of Applied Mechanics, ASME Vol. 68 (2001), p.814.

Google Scholar

[9] Q.S. Li, J. Liu and H.B. Xiao: International Journal of Mechanical Sciences Vol. 46 (2004), p.173.

Google Scholar

[10] J.J. Zheng, X.Y. Liu and X.Z. Zhou: The Boundary Element Method and Its Applications in Structural Analysis (Anhui Science and Technology Press, China 2006).

Google Scholar