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x CHAPTER 1: INTRODUCTION  1 1.1 Overview  1 1.2 Free Rocking  3 1.3 Controlled Rocking  7 1.4 Scope of Research  10 1.5 Thesis Layout  10 1.6 References  12 CHAPTER 2: LITERATURE REVIEW  14 2.1 Impact Mechanics  14 2.2 Free Rocking of Rigid Blocks  22 2.2.1 Housner’s simple rocking model  22 2.2.2 Other rigid body models and validation of SRM  26 2.2.3 Dynamics of rigid blocks  28 2.2.4 Free rocking response and stability under ground excitation  31 2.2.5 Rocking block connected with secondary structural elements  39 2.2.6 Chaotic free rocking behavior  40 2.3 Flexible Free Rocking Systems  41 2.4 Controlled Rocking of Rigid Blocks  44 2.5 Finite Element Analysis of Rocking Motion 46 2.6 Dynamic Decay of Structures  48 2.6.1 Role of damping in precast controlled rocking members  50 2.7 Rocking in Design Practice  53 2.7.1 Free rocking in design practice  53 2.7.2 Controlled rocking in design practice  54 2.8 Summary and Conclusions  55 2.9 References  57

Dynamic decay of motion of rocking concrete members