| This thesis is aimed at the development and implementation of an integrated geometric modeling in boundary element method for shape optimization of three dimensional mechanical parts.;A B-spline boundary element is developed, using the geometric concepts of B-spline shape function and control vertices and applied in a boundary element formulation and analysis of elasto-static problems. The performance of this B-spline element is demonstrated in static beam analysis and crank shaft analysis.;Due to its flexibility in representing both geometrical and physical variable, this element is used also in shape optimization. The control vertices are then used as design variable in a sequential quadratic optimization. Numerical results are presented to show the efficiency of the new integrated approach in design analysis and shape optimization of three dimensional mechanical parts. |
