The Problems of the Nonlinear Unsymmetrical Bending for Cylindrically Orthotropic Circular Plate(Ⅱ)

Huang Jiayin; Qin Shengli; Xia Yunjie; Xu Xiaoping; Kong Xianghe

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(11): 1003-1016

Huang Jiayin, Qin Shengli, Xia Yunjie, Xu Xiaoping, Kong Xianghe. The Problems of the Nonlinear Unsymmetrical Bending for Cylindrically Orthotropic Circular Plate(Ⅱ)[J]. Applied Mathematics and Mechanics, 1995, 16(11): 1003-1016.

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The Problems of the Nonlinear Unsymmetrical Bending for Cylindrically Orthotropic Circular Plate(Ⅱ)

Qufu Nortnal University, Qufu, Shandong 273165

Received Date: 1994-02-01
Publish Date: 1995-11-15

Abstract

Abstract

In this Paper we study the recursive equations under the recursive boundary conditions for W_nm,nm,v_nm and ψ_nm(n=0.1.2...N:m=1.2...M.which derivedby the two-variable method ^[3] in the preceding paper^[1].We then solve these problems by using the method of regular perturbation^[2].and the uniformly valid asymptotic solution is obtained.Lastly we consider a particular example i.e the bending problems of the axisymmetrical circular plate by using the mixed perurbation method and compare our results with the exact solution found in Ret[5].They are similarly coincided.
- orthotropic circular plate,
- whole core,
- perturbation

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References(6)

References

[1]	秦圣立、黄家寅,国柱型正义各向异性圆形薄板的非线比非对称弯曲问题(I),应用数学和力学,15(8)(1994),779-796.
[2]	Jung Furu,On the boundary layer method,Alpliocl Mcrth.and Meth.(English Ed.),2,5(1981).461-473.
[3]	R.E.,O’Malley,Introduction to Singular Perturbations,Academic Press,New York(1974).
[4]	Qin Shengli.and Zheang Aishu.On the jumping problems of a circular thin plate with initial deflection,Appliesd Math and Meth.(English Ed.),8,5(1987).447-458.
[5]	Fan Fuqun and Dong Wanlin,Bending of circular plate of non-homogeneous cylindrically orthotropic composites,Aotcr Mechanica Sinica.17,5(1985),461-471.
[6]	A.H.Nayfeh,Introduction to Perturbation Technique John Wiley & Sons(1981).