Mlesd Shape Optimization Example 16888 E77 B-spline(2-Dim) minimize f(x) subject g(x)≤0 h(x)=0 X∈ Design variables(x) fx): compliance x: control points of the B-spline g(x): mass (position of control points h(x): state equation Number of design variables (ndv ndy 8 o Massachusetts Institute of Technology-Dr Il Yong Kim6 © Massachusetts Institute of Technology – Dr. Il Yong Kim Shape Optimization Example • Design variables (x) x : control points of the B-spline (position of control points) • Number of design variables (ndv) ndv = 8 B-spline (2-Dim) minimize ( ) subject to ( ) 0 () 0 f g h S d  x x x x f(x) : compliance g(x) : mass h(x) : state equation