Li Dong. Application of the Modified iteration Method to Nonlinear Postbuckling Analysis of Thin Circular Plates[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1075-1080.
 Citation: Li Dong. Application of the Modified iteration Method to Nonlinear Postbuckling Analysis of Thin Circular Plates[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1075-1080.

# Application of the Modified iteration Method to Nonlinear Postbuckling Analysis of Thin Circular Plates

• Publish Date: 1991-12-15
• In this paper, the modified iteration method is further generalized to the study of axisymmetrical postbuckling of thin circular plates and hereby a new approximate analytic solution of the problem is obtained. Further utilizations of this method to postbuckling analyses of plates of more complicated structure are expected.
•  [1] Chia,C.Y.,Nonlinear Analysis of Plates,McGraw-Hill,New York(1980). [2] Rao,G.V.and K.K.Raju,A reinvestigation of post-buckling behaviour of elastic circular plate using a simple finite element formulation,Comput.Struct.,17,2(1983),233. [3] Rao,G.V.and K.K.Raju,et al.,Post-buckling behaviour of cylindrically orthotropic annular plates with uniform internal radial load,Comput.Struct.,31,6(1989),1057. [4] 叶开沅、刘人怀等,在对称线布载荷作用下的圆底扁薄球壳的非线性稳定问题,科学通报,(2)(1965),142. [5] 叶开沅、刘人怀等,圆底扁薄球壳在边缘力矩作用下的非线性稳定问题,科学通报,(2)(1965),145. [6] 刘人怀,在内边缘均布力矩作用下中心开孔圆底扁球壳的非线性稳定问题,科学通报,(3)(1965).253 [7] Liu Ren-huai,Nonlinear bending of corrugated annular plates,Scient.Sin.,Ser.A.,27,6(1984),640. [8] Liu Ren-huai,Nonlinear thermal stability of bimetallic shallow shells of revolution,Internat.J.Non-Linear Mech.,18,5(1983),409. [9] 李东、刘人怀,修正迭代法在波纹圆板非线性振动中的应用,应用数学和力学,11(1)(1990),13-21. [10] Li Dong and Liu Ren-huai,Nonlinear vibration of thin circular plates,Adv.Appl.Math.Mech.China,International Academic Publishers,Beijing,3(1990).

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