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| Modeling initial geometrical imperfections of thin cylindrical shells by random field with perimeter constraints |
| Received:February 16, 2020 Revised:May 27, 2020 |
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| DOI：10.7511/jslx20200216001 |
| KeyWord:thin cylindrical shell initial geometrical imperfection 2D Gaussian random field perimeter invariant constraint buckling analysis |
| Author | Institution |
| 李建宇 |
天津科技大学 机械工程学院, 天津市轻工与食品工程机械装备集成设计与在线监控重点实验室, 天津 |
| 魏凯杰 |
天津科技大学 机械工程学院, 天津市轻工与食品工程机械装备集成设计与在线监控重点实验室, 天津 |
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| Abstract: |
| A novel random field approach is proposed to model the initial geometrical imperfections of thin cylindrical shell structures,based on which a stochastic analysis method for buckling analysis of thin cylindrical shells with initial geometrical imperfections is proposed.Firstly,it is pointed out that the existing method to characterize the initial geometrical imperfections of thin cylindrical shells as 2D Gaussian random field would lead to the initial geometrical imperfections inconsistent with the actual situation,for example,the cylinder circumference significantly increased or decreased geometrical imperfections.Secondly,a random field modeling method considering the perimeter invariant constraint is proposed to eliminate random geometrical imperfections which do not correspond to the reality.Finally,based on the initial imperfections random field model,a non-intrusive polynomial chaos expansion method is proposed for the stochastic buckling analysis of thin cylindrical shells,and the probability distribution results of critical buckling loads are given.Numerical results show that the initial geometrical imperfections modeling method based on random field theory can effectively describe the influence of the geometrical imperfections on the bearing capacity of structures,while the proposed constrained random field modeling method can reduce the dispersion of analysis results caused by random field model. |
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