Mest 16888 Shape Optimization ESD.J7 Design variables control the shape Size optimization is a special case of shape optimization Various approaches to represent the shape Zolesio(1981), Haug and Choi et al. (1986)-Univ of lowa A general method of shape sensitivity analysis using the material derivative method adjoint variable method Radius of a circl Ellipsoid Bezier curve Etc Nodal positions Basis function when the fem is use0)∑a(xy) (control points Ndv:10~100 o Massachusetts Institute of Technology-Dr Il Yong Kim10 © Massachusetts Institute of Technology – Dr. Il Yong Kim Shape Optimization Zolesio (1981), Haug and Choi et al. (1986) – Univ. of Iowa - A general method of shape sensitivity analysis using the material derivative method & adjoint variable method - Design variables control the shape - Size optimization is a special case of shape optimization - Various approaches to represent the shape Nodal positions (when the FEM is used) Basis functions B-spline (control points) Radius of a circle Ellipsoid Bezier curve Etc… Ndv: 10~100 1 (, ,) n i i i D I xyz ¦