Info-gap Robust Design with Load and Model Uncertainties Izuru Takewaki, 1 and Yakov Ben-Haim 2 Keywords: Earthquake excitation, building design, information-gap decision theory, uncertainty, robustness. Contents 1 Introduction 2 2 Preview of Info-gap Robustness Analysis 3 3 Info-gap Uncertainty Models 4 4 The Info-gap Robustness Function 4 5 Illustrative Examples 5 5.1 Heavily Damped SDOF System ............................... 5 5.1.1 Formulation ...................................... 5 5.1.2 Trade-off Between Performance and Robustness to Uncertainty ......... 5 5.2 Lightly-Damped Low-Frequency SDOF System ...................... 7 5.2.1 Performance and Robustness ............................ 7 5.2.2 Trade-off Between Performance and Robustness .................. 8 5.2.3 Optimal Robust-satisficing Design ......................... 9 5.3 2-Story Shear Building .................................... 9 5.3.1 Formulation ...................................... 9 5.3.2 Trade-off Between Robustness, Performance and Weight ............. 10 6 Relation between Robust-satisficing Optimal Design and Performance Optimal Design 11 7 Load and Model Uncertainties: Generalization 12 7.1 Robustness function ..................................... 13 7.2 Info-gap Models of Spectral Uncertainty .......................... 13 8 Example: 6-story Shear Building with Load and Model Uncertainties 14 8.1 Formulation .......................................... 14 8.2 Trade-off Between Performance and Robustness to Uncertainty ............. 15 9 Conclusion 15 10 References 17 1 Dept. of Urban and Environmental Engineering, Graduate School of Engineering, Kyoto University, Sakyo, Kyoto 606-8501, Japan, takewaki@archi.kyoto-u.ac.jp. 2 Yitzhak Moda’i Chair in Technology and Economics, Faculty of Mechanical Engineering, Technion — Israel Institute of Technology, Haifa 32000 Israel, yakov@technion.ac.il. Corresponding author. 1