修正迭代法在薄圆板非线性后屈曲分析中的应用

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

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, Shanghai

摘要: 本文进一步将修正迭代法推广到薄圆板轴对称后屈曲分析中,由此获得该问题的一种新的近似解析解.作者期望将此方法应用于更为复杂结构的板的后屈曲分析中去.
- 薄圆板 /
- 几何非线性 /
- 后屈曲 /
- 修正迭代法
Abstract: 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.
- thin circular plate /
- geometrical nonlinearity /
- postbuckling /
- modified iteration method

[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).