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The problems of the nonlinear unsymmetrical bending for cylindrically orthotropic circular plate. II. (English) Zbl 0843.73044
Summary: We study the recursive equations under the recursive boundary conditions for \(W_{nm}, \varphi_{nm}, v_{nm}\) and \(\psi_{nm} (n=0,1,2,\cdots,N; m=1,2,\cdots, M)\), which are derived by the “ two-variable method” in part I [ibid. 15, No. 8, 779-796 (1994)]. We solve these problems by the method of regular perturbations, and the uniformly valid asymptotic solution is obtained. Finally, we consider a particular example, i.e. the bending problems of the axisymmetrical circular plate by using the “mixed perturbation method”.

MSC:
74K20 Plates
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[1] Qin Shengli and Huang Jiayin, The problems of the nonlinear unsymmetrical bending for cylindrically orthotropic circular plate (I),Applied Math. and Mech. (English Ed.),15, 8 (1994), 779–796. · Zbl 0925.73254 · doi:10.1007/BF02451628
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