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.
Citation:
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.
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.
Citation:
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.
In this Paper we study the recursive equations under the recursive boundary conditions for Wnm,nm,vnm and ψnm(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.
Jung Furu,On the boundary layer method,Alpliocl Mcrth.and Meth.(English Ed.),2,5(1981).461-473.
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R.E.,O’Malley,Introduction to Singular Perturbations,Academic Press,New York(1974).
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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.
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Fan Fuqun and Dong Wanlin,Bending of circular plate of non-homogeneous cylindrically orthotropic composites,Aotcr Mechanica Sinica.17,5(1985),461-471.
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A.H.Nayfeh,Introduction to Perturbation Technique John Wiley & Sons(1981).