## 留言板

 引用本文: 李东. 修正迭代法在薄圆板非线性后屈曲分析中的应用[J]. 应用数学和力学, 1991, 12(12): 1075-1080.
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

• 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.
•  [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).
##### 计量
• 文章访问数:  1938
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##### 出版历程
• 收稿日期:  1990-11-08
• 刊出日期:  1991-12-15

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