Buckling Analysis Of Stiffened Plate And Shell With Topology Optimization Of The Structure Of The Granular Material

As one of the most important engineering structure,shell and plate are widely used in projects.Finite element analysis is widely applied to the buckling analysis and its structural optimization of shell structures become attractive topics in mechanics.However,there is a lack of rational guidance in shell structure design,and this structure is not fully explored.The unstable failure has begun before strength failure when external load applies on the structure.And reinforcement can effectively improve the bearing capacity of the structure.Meanwhile,in order to optimize of shell on the topological,it is necessary to apply the topology optimization method to the design of shell structures.Material's microstructure has important influence on the performance of the tension and compression,this article is based on gel particle materials microstructure,the asymmetry of tension and compression constitutive model was established,which laid a foundation for design of plate and shell type structure.The research topics are given as follows:1 ? Stability analysis of stiffened plates structure.Obtain the relative optimum reinforcement angel by the eigenvalue buckling analysis of stiffened plates structure in different boundary conditions with different reinforcement angels,and the modal analysis of the structure is conducted through finite element method.Compared with flat plate with the same weight,the structure is more stable and with better performance in dynamic characteristics.2?The biggest target in the stability analysis of stiffened cylindrical shell structure is the buckling bearing capacity.The cross-sectional dimension of the skin thickness and stiffener are taken as the design variables,and the optimization model is established with the objective function of the maximum buckling bearing capacity and constraint under the gross mass.3?The mathematical formulation and computational algorithm of structure topology optimization of cohesive granular material is proposed,in which the tension-compression asymmetry of the grain-interactions to the macro-scale is considered.The objective function is to minimize the mean compliance of the structure.Numerical examples are calculated and the final topology presented to validate the effectiveness of the proposed algorithm.Additionally,the influences of the degree of asymmetry and mesh refinement on the final structure topology are discussed.