THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE（II）

ＴＨＥＰＲＯＢＬＥＭＳＯＦＴＨＥＮＯＮＬＩＮＥＡＲＵＮＳＹＭＭＥＴＲＩＣＡＬ．ＢＥＮＤＩＮＧＦＯＲＣＹＬＩＮＤＲＩＣＡＬＬＹＯＲＴＨＯＴＲＯＰＩＣＣＩＲＣＵＬＡＲＰＬＡＴＥ（ＩＩ）ＨｕａｎｇＪｉａｙｉｎ（黄家寅）；ＱｉｎＳｈｅｎｇｌｉ（秦圣立）；Ｘｉ...

The problems of the nonlinear unsymmetrical bending for cylindrically orthotropic circular plate (II)

In this paper, we study the recursive equations under the recursive boundary conditions forW _nm , ϕ _nm ,v _nm and ψ _nm (n=0, 1, 2....N: m=1, 2....M), which derived by 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 perturbation method”^4], and compare our results with the exact solution found in Ref. 5]. They are similarly coincided.