Multi-disciplinary shape optimization of notches in 2-D machine components
Abstract
A multi-disciplinary, numerical approach to shape optimization of notches is presented. The design of the optimal shape of notches in 2-D elastic machine (structural) components is formulated using the Fictitious Stress Method. The design objective is to minimize the maximum effective stress for a given load. Formulation is based on constant stress boundary element. A special concept of segmented Bezier interpolants is adopted for defining geometry of the machine component, and the Sequential Linear Programming is used as optimization procedure.
References
[2] J .F.M. Barthelemy, R.T. Haftka. Approximation concepts for optimum structural design - a review. Struct. Optimiz., 5: 129-144, 1993.
[3] O.K. Bedair, J .C. Thompson. Shape sensitivity analysis using the indirect boundary element method. Struct. Optimiz., 6: 116-122, 1993.
[4] S.S. Bhavikatti, C.V. Ramakrishnan. Optimum design of fillets in flat bar and round tension bars. ASME Paper 77-DET-45, 1- 8, 1978.
[5] S.S. Bhavikatti, C.V. Ramakrishnan. Optimum design of rotating disks. Comput. Struct., 11: 397- 401 , 1980.