Rocking Response and Overturning of Anchored Equipment under Seismic Excitations

..................................................................................................................................iii PROLOGUE....................................................................................................................................v TABLE OF CONTENTS..............................................................................................................vii LIST OF FIGURES........................................................................................................................ ix LIST OF TABLES ........................................................................................................................xv ACKNOWLEDGMENTS...........................................................................................................xvii CHAPTER 1: INTRODUCTION ................................................................................................1 CHAPTER 2: REVIEW OF THE ROCKING RESPONSE OF A FREE-STANDING BLOCK.................................................................................................................5 2.1 Condition for Initiation of Rocking Motion .........................................................5 2.2 Governing Equations under Rocking Motion.....................................................10 2.3 Rocking Response to a One-Sine (Type-A) Pulse..............................................12 2.3.1 Linear Formulation .................................................................................12 2.3.2 Nonlinear Formulation............................................................................21 2.4 Rocking Response to a One-Cosine (Type-B) Pulse ..........................................24 CHAPTER 3: ROCKING RESPONSE OF A FREE-STANDING BLOCK UNDER HORIZONTAL AND VERTICAL EXCITATION ...........................................31 3.1 Numerical Formulation and Solution .................................................................31 3.2 Response Spectra and Effect of the Coefficient of Restitution ..........................41 CHAPTER 4 ROCKING RESPONSE OF ANCHORED EQUIPMENT TO ONE-SINE (TYPE-A) PULSE...........................................................................45 4.1 Elastic-Brittle Behavior ......................................................................................45 4.1.1 Nonlinear Formulation............................................................................45 4.1.2 Linear Formulation .................................................................................54 4.2 Ductile Behavior .................................................................................................57 4.2.1 Elasto-Plastic Behavior...........................................................................60 CHAPTER 5: ROCKING RESPONSE OF ANCHORED EQUIPMENT TO EARTHQUAKE EXCITATIONS......................................................................69 CHAPTER 6: CONCLUSIONS ................................................................................................79 REFERENCES ............................................................................................................................81