基于凸方法的含不确定初始几何缺陷复杂结构的临界屈曲分析

ritical buckling problem of complex structures with uncertain initial geometric imperfection was studied based on the non-probabilistic convex methods. By virtue of the Taylor series expansion, interval analysis and convex models were proposed to predict the worst critical buckling load and the weakest shape of the initial geometric imperfection for complex structures, which may overcome the limitation of the analytical or series solutions of critical buckling load that is viable only for simple structures. The non-probabilistic convex methods and probabilistic method were compared critically. Composite stiffened plate and cylindrical shell were used to illustrate the feasibility and validity of the proposed methods.