Mechanics of Rubber Bearings for Seismic and Vibration Isolation

Mechanics of Rubber Bearings for\nSeismic and Vibration Isolation......Page 3
Contents......Page 7
About the Authors......Page 11
Preface......Page 15
1 History of Multilayer Rubber Bearings......Page 19
2.2 Pure Compression of Bearing Pads with Incompressible Rubber......Page 37
2.2.1 Infinite Strip Pad......Page 42
2.2.2 Circular Pad......Page 43
2.2.3 Rectangular Pad (with Transition to Square or Strip)......Page 44
2.2.4 Annular Pad......Page 45
2.3 Shear Stresses Produced by Compression......Page 48
2.4.1 Infinite Strip Pad......Page 51
2.4.2 Circular Pad......Page 54
2.4.3 Rectangular Pad......Page 57
2.4.4 Annular Pad......Page 58
3.1 Bending Stiffness of Single Pad with Incompressible Rubber......Page 63
3.1.1 Infinite Strip Pad......Page 65
3.1.2 Circular Pad......Page 66
3.1.3 Rectangular Pad......Page 67
3.1.4 Annular Pad......Page 69
3.2.1 Infinite Strip Pad......Page 70
3.2.2 Circular Pad......Page 72
3.2.3 Rectangular Pad......Page 75
3.2.4 Annular Pad......Page 76
4 Steel Stress in Multilayer Rubber Bearings under Compression and Bending......Page 81
4.1 Review of the Compression and Bending of a Pad......Page 82
4.2 Steel Stresses in Circular Bearings with Incompressible Rubber......Page 83
4.2.1 Stress Function Solution for Pure Compression......Page 86
4.2.2 Stress Function Solution for Pure Bending......Page 89
4.3.1 Stress Function Solution for Pure Compression......Page 91
4.3.2 Stress Function Solution for Pure Bending......Page 94
4.4.1 Yielding of Steel Shims for the Case of Incompressible Rubber......Page 96
4.4.2 Yielding of Steel Shims for the Case of Compressible Rubber......Page 97
5.1 Stability Analysis of Bearings......Page 101
5.2 Stability Analysis of Annular Bearings......Page 108
5.3 Influence of Vertical Load on Horizontal Stiffness......Page 109
5.4 Downward Displacement of the Top of a Bearing......Page 113
5.5 A Simple Mechanical Model for Bearing Buckling......Page 118
5.5.1 Postbuckling Behavior......Page 122
5.5.2 Influence of Compressive Load on Bearing Damping Properties......Page 124
5.6 Rollout Stability......Page 126
5.7 Effect of Rubber Compressibility on Buckling......Page 128
6.1 Introduction......Page 131
6.2 Influence of a Tensile Vertical Load on the Horizontal Stiffness......Page 133
6.3 Vertical Displacement under Lateral Load......Page 135
6.4.1 Modelling Details......Page 138
6.4.2 Critical Buckling Load in Compression and Tension......Page 140
7.1 Introduction......Page 147
7.2 Shearing Deformations of Short Beams......Page 148
7.3 Buckling of Short Beams with Warping Included......Page 157
7.4 Buckling Analysis for Bearing......Page 164
7.5 Computation of Buckling Loads......Page 171
8.1 Introduction......Page 177
8.2 Compression of Long Strip Pad with Frictional Restraint......Page 178
8.3 The Effect of Surface Slip on the Vertical Stiffness of an Infinite Strip Pad......Page 181
8.4 The Effect of Surface Slip on the Vertical Stiffness of a Circular Pad......Page 187
9 Effect of Friction on Unbonded Rubber Bearings......Page 195
9.1 Introduction......Page 196
9.3 Ultimate Displacement of Unbonded Bearings......Page 198
9.4 Vertical Stiffness of Unbonded Rubber Bearings with Slip on their Top and Bottom Supports......Page 202
Appendix: Elastic Connection Device for One or More Degrees of Freedom......Page 211
References......Page 227
Photograph Credits......Page 231
Author Index......Page 233
Subject Index......Page 235