| Author | Krit Damrongrat |
| Call Number | AIT Thesis no. ST-03-28 |
| Subject(s) | Structural optimization
|
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology |
| Publisher | Asian Institute of Technology |
| Series Statement | Thesis ; no. ST-03-28 |
| Abstract | The application of the Element Free Galerkin (EFG) method to the analysis of topology optimization in the framework of the Solid Isotropic Material with Penalization (SIMP) method is the main focus of this study. The mathematical formulation for the analysis of the topology optimization based on the SIMP approach with an application of the EFGM was derived and successfully implemented in linear, elastic plane stress and axisymmetric solid topology optimization problems. The present formulation is general for linear elastostatics problems and can be straightforwardly extended to three dimensional cases. The essence of the proposed method is that instead of updating element stiffness matrices, as in topology optimization based on the Finite Element Method (FEM), the present approach updated the system stiffness matrix calculated from numerical integration points in the background cells. The nodal points can be simply placed in the design domain without the need for element connectivity due to the flexibility of the EFGM. Furthermore, it is shown through numerical test problems that the proposed approach can optimize the structural compliance while satisfying static equilibrium conditions as well as the material volume constraint and gives a good resolution of the optimized topology of the design domain subject to prescribed force and displacement boundary conditions. |
| Year | 2003 |
| Corresponding Series Added Entry | Asian Institute of Technology. Thesis ; no. ST-03-28 |
| Type | Thesis |
| School | School of Engineering and Technology |
| Department | Department of Civil and Infrastucture Engineering (DCIE) |
| Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
| Chairperson(s) | Barry, William; |
| Examination Committee(s) | Worsak Kanok-Nukulchai;Pichai Nimityongskul; |
| Scholarship Donor(s) | Royal Thai Government Scholarship; |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 2003 |