7 RELIABILITY-BASED DESIGN OPTIMIZATION USING DETERMINISTIC OPTIMIZATION AND MULTI-FIDELITY TECHNIQUE .............. ...................80 Introducti on ................ ....... .. ... ... .. .. .. ........ .........8 Reliability-Based Design Optimization Using Sequential Deterministic Optimization with Probabilistic Sumfciency Factor. ................... ............. .... .. .... ..... .........8 Reliability-Based Design Optimization Using Multi-Fidelity Technique with Probabilistic Sumfciency Factor............... ...............82. Beam Design Example ............... ...... ... ........ .....................8 Reliability-Based Design Optimization Using Sequential Deterministic Optimization with Probabilistic Sumfciency Factor. ................. ......... ....... ................... .........8 Reliability-Based Design Optimization Using Coarse MCS with Probabilistic Suffciency Factor ................. ...............87................. Summary ................. ...............88................. 8 RELIABILITY-BASED DESIGN OPTIMIZATION OF STIFFENED PANELS USING PROBABILISTIC SUFFICIENCY FACTOR ................. ............. .......90 Introducti on ............... .. ... ... ..... ...............90....... Aluminum Isogrid Panel Design Example .............. ...............92.... Reliability-Based Design Problem Formulation .............. ....................9 U ncertainti es .................. ... ........ .... ...............94... Analysis Response Surface Approximation .............. ...............95.... Design Response Surfaces............... ...............97 Optimum Panel Design............... ...............98 Composite Isogrid Panel Design Example .............. ...............98.... Deterministic Design ................. .......... .... ...............100.... Analysis Response Surface Approximation ................ .. .. .......... ...............101 Reliability-Based Design Optimization Using Sequential Deterministic Optimization with Probabilistic Sumfciency Factor .............. ...................103 Reliability-Based Design Optimization using DIRECT Optimization.....................106 DIRECT Global Optimization Algorithm ................ .............. .... ............... 106 Reliability-Based Design Optimization Using Direct Optimization with Safety F actor C orrected by Prob abili sti c Sumfici ency Factor ................. ................10 8 Sum m ary ................. ...............108.............. APPENDIX A MATERIAL PROPERTIES OF IM600/133 ................. .............................110 B CONTOUR PLOTS OF THREE DESIGN RESPONSE SURFACE APPROXIMATIONS AND TEST POINTS ALONG THE CURVE OF TARGET RELIABILITY ................. ...............113......... ...... LIST OF REFERENCES ................. ...............115................ BIOGRAPHICAL SKETCH ................. ...............120......... ......