M 168g esd Isoperformance Analogy ESD.J7 Non-Uniqueness of Design if n>z Analogy: Sea Level Pressure [mbar Chart: 1600 Z, Tue 9 May 2000 Performance: Buckling load Constants: 1=15 m), c=2.05 P- CTT EI Isobars= Contours of Equal Pressure Parameters Longitude and latitude Variable Parameters: E,I(r) Requirement L E, REQ 1000 metric tons L Solution 1: V2 ,[=10cm,E=19.1e+10 008 Solution 2 ,r=128cm,E=7.1e+10 012 d 2r EI Isoperformance Contours= Locus of constant system performance Bridge- Column多 Parameters=e.g Wheel Imbalance Us Support Beam Ix, Control Bandwidth o o Massachusetts Institute of Technology -Prof de Weck and Prof Willcox Engineering Systems Division and Dept of Aeronautics and AstronauticsIsoperformance Analogy Isoperformance Analogy Non-Uniqueness of Design if n > z Analogy: Sea Level Pressure [mbar] Chart: 1600 Z, Tue 9 May 2000 Performance: Buckling Load 2 c EI π P = Isobars = Contours of Equal Pressure Constants: l=15 [m], c=2.05 E l 2 Parameters = Longitude and Latitude Variable Parameters: E, I(r) Requirement: PE REQ = 1000 metric tons , Solution 1: V2A steel, r=10 cm , E=19.1e+10 Solution 2: Al(99.9%), r=12.8 cm, E=7.1e+10 L L L H 1008 1008 1012 1008 1008 1008 1012 1016 1012 1012 1012 1016 1012 1004 1016 1012 1012 l 2r PE E,I c Bridge-Column Isoperformance Contours = Locus of constant system performance Parameters = e.g. Wheel Imbalance Us, Support Beam Ixx, Control Bandwidth ω c 8 © Massachusetts Institute of Technology - Prof. de Weck and Prof. Willcox Engineering Systems Division and Dept. of Aeronautics and Astronautics