Cublic Spline Solutions of Axisymmetrical Nonlinear Bending and Buckling of Circular Sandwich Plates

HOU Chao-sheng; ZHANG Shou-kai; LIN Feng

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(1): 120-126

HOU Chao-sheng, ZHANG Shou-kai, LIN Feng. Cublic Spline Solutions of Axisymmetrical Nonlinear Bending and Buckling of Circular Sandwich Plates[J]. Applied Mathematics and Mechanics, 2005, 26(1): 120-126.

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Cublic Spline Solutions of Axisymmetrical Nonlinear Bending and Buckling of Circular Sandwich Plates

Department of Civil Engineering, Tianjin University, Tianjin 300072, P. R. China

Received Date: 2003-12-22
Rev Recd Date: 2004-08-22
Publish Date: 2005-01-15

Abstract

Abstract

Cubic B-spline taken as trial function,the nonlinear bending of a circular sandwich plate was calculated by the method of point collocation.The support could be elastic.A sandwich plate was assumed to be Reissner Model.The formulae were developed for the calculation of a circular sandwich plate subjected to polynomial distributed loads,uniformly distributed moments,radial pressure or radial prestress along the edge and their combination.Buckling load was calculated for the first time by nonlinear theory.Under action of uniformly distributed loads,results were compared with that obtained by the power series method.Excellences of the program written by the spline collocation method are wide convergent range,high precision and universal.
- circular sandwich plate,
- large deflection,
- buckling,
- spline collocation method

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References(11)

References

[1]	Bruun E R.Thermal deflection of a circular sandwich plate[J].AIAA J,1963,1(5)：1213—1215. doi: 10.2514/3.1767
[2]	Huang J C，Ebcioglu I K.Circular sandwich plates under radial compression and thermal gradient[J].AIAA J,1965,3(6)：1146—1148. doi: 10.2514/3.3072
[3]	Wang C M.Buckling of polygonal and circular sandwich plates[J].AIAA J,1995,33(5)：962—964. doi: 10.2514/3.12664
[4]	刘人怀.夹层圆板的非线性弯曲[J].应用数学和力学，1981，2(2)：173—179.
[5]	刘人怀、施云芳.夹层圆板大挠度问题的精确解[J], 应用数学和力学,1982,3(1)：11—28.
[6]	刘人怀.在边缘力矩作用下夹层圆板的非线性轴对称弯曲问题[J].中国科技大学学报，1980,10(2)：1—12.
[7]	LIU Ren-huai.Nonlinear bending of circular sandwich plates under the action of axisymmetric uniformly distributed line loads[A].In:YEH Kai-yuan,Ed.Progress in Applied Mechanics[C].Dordrecht:Martinus Nijhoff Publishers,1987, 293—321.
[8]	刘人怀,朱高秋.夹层圆板大挠度问题的进一步研究[J].应用数学和力学，1989，10(12)：1041—1047.
[9]	刘人怀,朱金福，张小果.夹层环形板的非线性弯曲[J].暨南大学学报，1997,18(1)：2—10.
[10]	徐加初，王乘，刘人怀.变厚度夹层环形板的非线性弯曲[J].工程力学，2001，18(4)：28—37.
[11]	Reissner E. Finite deflection of sandwich plates[J].J Aero Sci,1948,15(7):435—440;1950,17(2)：125—130.