Static/Dynamic Multi Objective Topology Optimization Design Of Compliant Compliant Mechanism Based On Planar Three Degree Of Freedom Distribution

With a variety of precision manufacturing and micro-nano ultra-precision positioning and other cutting-edge areas continue to develop,the required products on the process parameters and operational accuracy and other comprehensive performance requirements continue to improve,distributed flexible compliance mechanism as a new type of super Precision positioning mechanism,the rational integration of the advantages of parallel institutions and compliant institutions,based on the distribution of flexible compliant flexible mechanism of ultra-precision positioning platform not only carrying capacity,high precision,fewer components,but also to achieve sub-Micron level positioning accuracy.Therefore,it is widely used in all kinds of aerospace and micro-nano manufacturing and other cutting-edge areas.In this paper,the three-degree-of-freedom softness and softness of the plane is considered as the object of study.Through the static topology optimization of the threeDynamic topology optimization and multi-objective topology optimization.By means of optimization,the three-degree-of-freedom distributive flexibility system is obtained.Finally,the static and dynamic characteristics of distributed flexible compliant mechanism are compared and analyzed.Specific research work is as follows:Firstly,the optimization technology is reviewed,and the topology optimization design theory is introduced.Two optimization algorithms based on the SIMP material interpolation model moving asymptote(MMA)and the optimization criterion(OC algorithm)are deduced,and the sensitivity filtering method Eliminate the numerical ill-posed problems in the process of topology optimization.Secondly,the input-output relationship of the traditional three-degree-of-freedom parallel prototype is solved by using the micro-displacement method.Based on the input-output relationship,the optimal interpolation model of the topological optimization of the flexible compliant compliant mechanism is constructed.,The static flexibility is minimized as the objective function of the topology optimization of the mechanism,and the static topology optimization of the softness of the three-degree-of-freedom softening mechanism is carried out.Then the modeling of the distributed flexible compliance mechanism is carried out,and the static and dynamic characteristics are analyzed.Thirdly,the principle of modal analysis and the significance of modal analysis are studied.The three-degree-of-freedom softening mechanism is used to maximize the low-ordernatural frequency as the objective function.The constraint condition is the dynamics of the volume ratio before and after the optimization Topology optimization.Finally,based on the compromise planning method and the square weighting method to construct the multi-objective topology optimization of the mechanism,the weight coefficient of each sub-target is solved by the hyperplane method.The constraint condition is the volume ratio before and after the optimization,and the multi-objective topology optimization SIMP material interpolation Model,and then the multi-objective topology optimization of the mechanism is carried out to model and analyze the static and dynamic characteristics of the distributed flexible compliant flexible mechanism.Through the comparison between the simulation results and the theoretical values,it can be seen that the natural frequency of the mechanism is improved greatly by improving the stability of the flexible body by the multi-objective topology optimization.At the same time,the motion of the traditional parallel prototype Learning characteristics of the corresponding relationship,which also verify the feasibility of multi-objective topology optimization and correctness.Which lays the foundation for the optimization design of the engineering application.