Topology Optimization Method Of MMC Based On Smoothing Technology

Since the continuous development of topology optimization research,various design methods in this field have provided guiding schemes for a large number of major engineering and industrial structures.However,with the continuously upgrading of the industry's requirements for structural detail design and the enhancement of manufacturability,the structural topology design obtained by the original topology optimization design framework is sometimes difficult to meet some actual production requirements in detail,such as There are many problems such as uneven structure boundary and local stress concentration.The topology optimization method based on the mobile deformable component(MMC)explicitly represents the topology information of the structure through the topology description function,which has the advantages of less design variables and direct docking with CAD system.However,in the MMC framework,the formation of the optimal topology is achieved by overlapping,overlapping and crossing of multiple components that can rotate and deform arbitrarily in the design domain,and the corresponding topology description function of each component is independent,so the geometric boundary of the structure will appear unsmooth.The main purpose of this paper is through the mobile deformation,the specific research content is mainly through the following two aspects:Firstly,the convolution operator is combined with the topology optimization method based on the mobile deformable components to obtain the smoother optimal topology optimization result.The convolution is used to establish the connection between the topology description functions of the independent components to form a more integral structure boundary.The smoothed topology optimization results obtained by this method will not affect the structure of the optimal solution too much,and the smoothing effect can be controlled by convolution radius.Secondly,the Kreisselmeier Steinhauser function is used to replace the max function in the original framework to integrate the topology description function.The topological description of the structure integrated by KS function will be more smoothly,and the computational efficiency of the smoothing method will not be affected much by the size of the background grid.In this paper,a large number of examples are used to verify the feasibility and effectiveness of the above two methods,and the relationship between the smoothing effect of the two methods and the relevant parameters is also discussed.It provides a scheme for designing topology optimization results with smooth boundary based on the framework of removable deformable components.