Shape Optimal Design for the Leg Parts of Chair
In this study, a chair with 5 or 6 legs was designed using the commercial program CATIA V5 in order to efficiently design considering the load conditions. In addition, the stress analysis and shape optimization were carried out using ANSYS Workbench for the chair consisting of stainless steel, aluminum alloys, magnesium alloys and structural steel. As a result, a chair with five legs showed the maximum equivalent stress at the end of the edge of the wheel parts and on the other hand, a chair with six legs showed the maximum equivalent stress at the corner of the connecting parts of the pillar and leg. In addition, the material and the weight was reduced by shape optimization for the chair model with 5 legs and maximum equivalent stress for stainless steel was found that greatly relaxed, compared with that of before shape optimization model.
Complicated meshes used in numerical simulations on complex geometries often limit the applicability of multilevel techniques for fast solvers. We propose a way how this limitation can be circumvented if domain adaptation is used. We represent the geometry implicitly by its signed distance function and solve the problem on a larger domain taking account of the complex shape by adaptive refinement and subelement assembling routines. The software concepts of AMDiS [1] allow to deal with this situation in a nearly standard way. An example is shown which allows a detailed convergence analysis by comparing the numerical solution with an analytical solution.