Mesd Quantitative vs Qualitative 16888 ESD.J7 Qualitative effort stream Qualitative effort stream 0oocoom o3 00≥000 ①Q0 Quantitative disciplinary models Quantitative multidisciplinary model MDo is a way of formalizing the quantitative tool to apply the best trade-offs. The question provides a metric; the answer accounts for both disciplinary and interaction information o Massachusetts Institute of Technology -Prof de Weck and Prof Willcox
11 © Massachusetts Institute of Technology - Prof. de Weck and Prof. Willcox Quantitative vs. Qualitative Quantitative vs. Qualitative Qualitative effort stream Quantitative disciplinary models high or low aspect ratio wing? aero=high, structures=low ? Qualitative effort stream Quantitative multidisciplinary model high or low aspect ratio wing for min weight? overall best aspect ratio MDO is a way of formalizing the quantitative tool to apply the best trade-offs. The question provides a metric; the answer accounts for both disciplinary and interaction information
M esd Optimization Aspects of Design ES.7 Optimization methods have been combined with design synthesis and parametric analysis for ca 40 years Traditionally used graphical methods to find maximum or minimum of a multivariate function ("carpet plot ), but Graphics break down peaks above 3-4 dimensions ×> Where is max J(x)? Caution local extrema i Design variable X2 Where is min J(x? Design variable x1 o Massachusetts Institute of Technology -Prof de Weck and Prof. Willcox
12 © Massachusetts Institute of Technology - Prof. de Weck and Prof. Willcox Optimization Aspects of Design Optimization Aspects of Design • Optimization methods have been combined with design synthesis and parametric analysis for ca. 40 years • Traditionally used graphical methods to find maximum or minimum of a multivariate function (“carpet plot”), but…. Graphics break down above 3-4 dimensions Objective J(x) Design variable x2 Design variable x1 Where is max J(x) ? Caution: local extrema ! “peaks” Where is min J(x) ?