Li Nong, Fu Bao-lian. The Symmetrical Bending of an Elastic Circular Plate Supported at k Internal Points[J]. Applied Mathematics and Mechanics, 1991, 12(11): 1023-1028.
 Citation: Li Nong, Fu Bao-lian. The Symmetrical Bending of an Elastic Circular Plate Supported at k Internal Points[J]. Applied Mathematics and Mechanics, 1991, 12(11): 1023-1028.

# The Symmetrical Bending of an Elastic Circular Plate Supported at k Internal Points

• Publish Date: 1991-11-15
• This paper treats the symmetrical bending of a uniformly loaded circular plate supported at k internal points. The boundary displacement and slope are expanded in Fourier seriesr. The method proposed by [6] is applied. As both the governing differential equation and boundary conditions are satisfied exactly, we therefore obtain the analytic expression of the transverse deflectionul equation of the circular plate. This is an easy and effective methed.
•  [1] Bassali,W.A.,The transverse flexure of thin elastic plates supported at several points.Proc.Cambridge Phil.Soc.53(1957) 728-743. [2] Yu.J.C.L.,and H.H.Pan,Uniformly loaded circular plate supported at discrete points.Int.J.Mech.Sci.,8(1966) 333-340. [3] Leissa,W.and L.T.Wells,On a direct Fourier solution for circular plates loaded bysingularities,The Journal of the Industrial Mathematics Society.20,part 1,(1970). [4] Timoshenk,S and S.Woinowsky-Krieger,Theory of Plates and Shells,2nd edition(1959). [5] 付宝连,应用功的互等定理求解具有复杂边界条件的矩形板的挠曲面方程,应用数学和力学,3(3) (1982). [6] 李农、付宝连,应用功的互等定理计算弹性圆薄板挠曲面方程,应用数学和力学.9(9)1988.

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