CONTENTS Message from EERI President v Message from NICEE vii Foreword ix Preface xi Acknowledgments xv 1 Introduction 1 1.1 Energy Dissipation Devices 2 1.2 Effect of Viscous Damping on Dynamic Response 8 1.3 Damper-Added Structure versus Traditional Structure 19 1.4 Design and Analysis . 21 2 Characterization and Applicability of Dampers 23 2.1 Metallic Yielding and Friction Devices 23 2.2 VE SolidDevices 30 2.3 Viscous Fluid Devices 35 2.4 Summary of Equivalent Damping and Stiffness 39 2.5 Applicability 39 3 Analysis of Damper-Added Structures 45 3.1 Nonlinear Structure/Nonlinear Damper (NS/ND) Procedure 45 3.2 Nonlinear Structure/Linearized Damper (NS/LD) Procedure 47 3.3 Linear Structure/Nonlinear Damper (LS/ND) Procedure 53 3.4 Linear Structure/Linearized Damper (LS/LD) Procedure 54 4 Damper Design for Structural Applications 57 4.1 General Considerations 57 4.2 Design Procedure 59 4.3 Design Examples 60 4.4 Application Examples 78 References 101 Appendix A: Nonproportional Damping Eigenvalue Solution 109 A.I SDOF-Undamped System 110 A.2 SDOF-Viscous Damped System 112 A.3 MDOF-Undamped System 112 A.4MDOF-Proportionally Damped System 114 A.5 MDOF-Nonproportionally Damped System 116 Appendix B: Code Development 127 B.I Background 127 B.2 Appendix 13 for FEMA 368 128