Mathematical elements for computer graphics (2nd ed.)
Mathematical elements for computer graphics (2nd ed.)
Computer Graphics and Geometric Modeling for Engineers
Computer Graphics and Geometric Modeling for Engineers
Numerical Recipes in FORTRAN: The Art of Scientific Computing
Numerical Recipes in FORTRAN: The Art of Scientific Computing
A B-spline-based approach to heterogeneous objects design and analysis
Computer-Aided Design
Finite Elements in Analysis and Design
Computational procedure for optimum shape design based on chained Bezier surfaces parameterization
Engineering Applications of Artificial Intelligence
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An efficient shape optimization scheme has been developed for designing axis symmetric structures. The sequential linear programming and Simplex method are coupled with finite element analysis. Selected sets of master nodes on design boundaries are employed as design variables and assigned to move towards their normal directions. By interpolating the repositioned master nodes, B-spline curves are constructed so that the remaining nodes on the design boundaries efficiently settle on the B-spline curves. A mesh smoothing scheme is also applied to interior nodes to maintain the finite elements in good quality. Applying these techniques a numerical implementation is presented to obtain the optimum design of an automobile torque converter clutch disk subjected to a hydraulic pressure and centrifugal force loads. The results give the optimum shape of the disk showing weight saving up to 13% after the shape optimization.