ACKNOWLEDGMENTS I want to thank Dr. Raphael T. Haftka for offering me the opportunity to complete my Ph.D. study under his exceptional guidance. He provided the necessary funding to complete my doctoral studies and support me to attend many academic conferences. Without his patience, guidance, knowledge, and constant encouragement, this work would not have been possible. Dr. Haftka made an immense contribution to this dissertation and my academic growth, as well as my professional and personal life. I would also like to thank the members of my supervisory committee: Dr. Peter G. Ifju, Dr. Theodore F. Johnson, Dr. Andre I. Khuri, and Dr. Bhavani V. Sankar. I am grateful for their willingness to review my research and provide constructive comments that helped me to complete this dissertation. Special thanks go to Dr. David Bushnell for his help with the PANDA2 program and stiffened panel analysis and design. Special thanks go to Dr. Vicente J. Romero for many helpful discussions and collaboration in wntmig papers. Financial support provided by grant NAG-1-2177, contract L-9889 and grant URETI from NASA is gratefully acknowledged. My colleagues in the Structural and Multidisciplinary Optimization Research Group at the University of Florida also deserve thanks for their help and many fruitful discussions. Special thanks go to Palaniappan Ramu, Thomas Singer, and Dr. Satchi Venkataraman for their collaboration in publishing papers. My parents deserve my deepest appreciation for their constant love and support.