Internal Force Analysis Of Plane Thin Plate Based On Adaptive Finite Element Method And Improved Lion Swarm Algorithm

The finite element method needs to be used to analyze the internal force of the thin plate under complex constraints.It is easy to decompose complex components into simple units,and the standardized classical methods are structured and programmed to facilitate the analysis of internal forces.Due to the non-convexity and complexity of the stress distribution after a force,how to find a reasonable finite element meshing has always been the goal pursued by people.It is planned to use Lion swarm optimization to find a reasonable grid division plan.In order to explore the convergence characteristics of the Lion swarm optimization,this thesis analyzes the convergence process of the Lion swarm optimization in a visual way based on the numerical simulation of the algorithm,and analyzes the advantages and disadvantages of it.The strategy of improvement is proposed.In order to overcome the slow convergence speed caused by the long periodicity of Lion King replacement in the basic lion swarm optimization,the insufficient earlier ergodicity due to the blind selection strategy of young lion,and the slow local convergence speed in the later stage of the algorithm,the replacement strategy of Lion King and the selection probability of lion cubs were improved based on the original lion swarm optimization.The information entropy was introduced to control the step length of different lion cubs,the Lion King Stabilizer factor was introduced to solve the blindness of lion cubs’ later selection,and the overall composition of lion group was adjusted appropriately.The value of information entropy was used to measure the uncertainty of young lion selection in the lion swarm optimization.Different disturbance factors were set to achieve the moving range of different young lions in the control algorithm,so as to realize the adaptive adjustment of the algorithm and increase the robustness of the algorithm.The effectiveness of the improved algorithm was verified by simulation,TSP and truss optimization.This study provides a new idea and method for solving structural optimization problems.In order to discuss the problem of reasonable meshing of flat thin plates,under the premise of achieving controllable mesh quality with a stable floating node function,a method of generating a total density function by the density subunit is designed to achieve controllable degrees of freedom.The different grids generated by the density subfunctions of different variables are used as the basis for division,which is substituted into the finite element calculation model to solve the problem.After the numerical solution of the displacement of the force point is obtained,the external force work is calculated.Taking the degree of freedom of the density element as the position information,and the obtained external force as a fitness function,it is substituted into the improved lion swarm optimization,and the optimal solution of the density element is reversed to obtain a reasonable meshing method.It compares whether the density distribution information is similar in the case of different node sizes,that is,whether the information about the reasonableness of the grid density can be effectively transmitted in a structured way.It provides a new method for the adaptive division of the posterior finite element mesh.