Topology Optimization Of Multiphase Material Structure Based On Joint Connection

Topology optimization design aims to pursue the best distribution of materials in a specific design area under certain constraints.In recent decades,with its advantages of low cost,high efficiency and high profitability,it has become an important part of innovative design methods and is widely used in aerospace,automotive,shipbuilding and machinery manufacturing fields.With the intensification of resource competition,the traditional single material structure can no longer meet the various comprehensive properties required in engineering.In recent years,many scholars at home and abroad have carried out research on the topology optimization of multiphase material structure.The multi-phase material structure can make more reasonable use of materials with different properties,and share the structural forces to meet different design requirements.However,the current research on the topology optimization of multi-material structures is still relatively simple,and most of them are based on implicit topology optimization technology.There are problems such as difficulty in manufacturing inclusions,too many design variables,and difficulty in extracting geometric boundary information.Regarding these problems,this paper,based on the framework of the explicit description of the movable deformable component method(MMC),is based on the consideration of the manufacturability of the structure,and proposes the topology optimization method of the multiphase material structure based on the joint connection.The specific research content is as follows:Redefine the traditional components in the MMC method into a new internal/external component form,and introduce the "joint" model.In order to meet different design requirements,circular joints and B-Splines joints are used.This article describes in detail the geometric definition of components and joints,the mechanism of movement and deformation,and their topology descriptions,and defines the constraints on the intersection area between components and components,and between components and joints to ensure that components cannot intersect and can only be connected through joints to build a structure,So as to avoid the problem of material inclusion.In order to ensure a reasonable connection between the joint and the component,manufacturability conditions such as joint connection constraints and joint distance constraints are defined.Combined with numerical analysis and theoretical derivation,the validity and stability of the "single material-joint" model are verified through a series of two-dimensional and three-dimensional numerical examples.On the basis of the "single material-joint" model,an interpolation model of multiphase materials is introduced,and the parameter that determines the component material category is regarded as one of the design variables of the component.In addition to the position and geometry of the component,the material properties of the component can also be changed.The optimization process is carried out for optimal selection,and the effectiveness and limitations of "multi-material-joint" are discussed with numerical examples.This paper expands the method of multiphase material structure optimization based on the MMC framework by studying the above-mentioned problems.A large number of numerical examples show the multiple advantages of this method,and it has great application value in engineering practice.