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Structural and Multidisciplinary Optimization

Topological configuration analysis and design for foam filled multi-cell tubes

Element-Free Galerkin Method を用いた粘性流れの並列計算に関する検討

The computational model of thermo-mechanical coupling analysis for orthotropic structures was established based on the element-free Galerkin (EFG) method. The computational method and programs was verified through engineering thermoelastic problems of complex orthotropic structures. The influence of off-angle and the orthotropic material factors including thermal conductivity orthotropic factor, thermal expansion orthotropic factor, Poisson's ratio factor on the thermal deformation and thermal stress was investigated, and the reasonable range of these parameters was provided. A group of these preferred parameters were used to finish the thermo-mechanical coupling analysis of the orthotropic structure by using the proposed model and the results show that the maximum value of thermal deformation and thermal stress for orthotropic structure is reduced by 11% and 24% compared with the isotropic structure, respectively. The EFG solutions show a higher calculation precision than the finite element method (FEM) solutions in practical orthotropic thermoelastic problems. The off-angle affects the magnitude and direction of total thermal deformation displacement and the magnitude of Mises stress, while orthotropic materials factors only affect the magnitude of total thermal deformation displacement and the Mises stress without affecting the direction. The reasonable off-angle and orthotropic material factors can effectively improve thermal deformation and thermal stress.

Thermo-mechanical coupling analysis of the orthotropic structures by using element-free Galerkin method

Solving heat conduction problems with phase-change under the heat source term approach and the element-free Galerkin formulation

Transient heat transfer analysis of anisotropic material by using Element-Free Galerkin method

Steady heat transfer analysis of orthotropic structure based on Element-Free Galerkin method

A numerical model of topology optimization for isotropic and anisotropic thermal structures was established by combining the element-free Galerkin (EFG) method and the rational approximation of mat...

Topology optimization of thermal structure for isotropic and anisotropic materials using the element-free Galerkin method

The invention discloses a topological optimization method based on a meshfree RKPM (reproducing kernel particle method) for a thermal structure of an anisotropic material. The method comprises a step of establishing a meshfree RKPM thermal stiffness matrix of the structure of the anisotropic material with a transformation matrix method, and the step comprises the following sub-steps: (1) solving dynamic influence domain radius of each calculation point according to coordinate information of input nodes and Gaussian points; (2) solving relative density of each RKPM node according to an RAMP (rational approximation of material properties) material interpolation model; (3) searching Gaussian points in a design domain, and establishing thermal conductivity tensor of each node according to the thermal conductivity of the anisotropic material, an orthotropic factor and a material direction angle; (4) taking a dot product of a thermal conductivity coefficient matrix and a geometric matrix of each node as an RKPM thermal stiffness matrix of the node; (5) forming the integral RKPM thermal stiffness matrix in the design domain. According to the method, topological optimization of the thermal structure of the anisotropic material is performed on the basis of the meshfree RKPM, the transformation matrix method and the RAMP material interpolation model, and the numerical stability is high.

Shusen Wang

Papers

Transient heat transfer analysis of anisotropic material by using Element-Free Galerkin method

Thermo-mechanical coupling analysis of the orthotropic structures by using element-free Galerkin method

Steady heat transfer analysis of orthotropic structure based on Element-Free Galerkin method

Topology optimization of thermal structure for isotropic and anisotropic materials using the element-free Galerkin method

Topological optimization method based on meshfree RKPM (reproducing kernel particle method) for thermal structure of anisotropic material