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Summary
Summary
Widely used in civil, mechanical and automotive engineering since the early 1980s, multilayer rubber bearings have been used as seismic isolation devices for buildings in highly seismic areas in many countries. Their appeal in these applications comes from their ability to provide a component with high stiffness in one direction with high flexibility in one or more orthogonal directions. This combination of vertical stiffness with horizontal flexibility, achieved by reinforcing the rubber by thin steel shims perpendicular to the vertical load, enables them to be used as seismic and vibration isolators for machinery, buildings and bridges.
Mechanics of Rubber Bearings for Seismic and Vibration Isolation collates the most important information on the mechanics of multilayer rubber bearings. It explores a unique and comprehensive combination of relevant topics, covering all prerequisite fundamental theory and providing a number of closed-form solutions to various boundary value problems as well as a comprehensive historical overview on the use of isolation.
Many of the results presented in the book are new and are essential for a proper understanding of the behavior of these bearings and for the design and analysis of vibration or seismic isolation systems. The advantages afforded by adopting these natural rubber systems is clearly explained to designers and users of this technology, bringing into focus the design and specification of bearings for buildings, bridges and industrial structures.
This comprehensive book:
includes state of the art, as yet unpublished research along with all required fundamental concepts; is authored by world-leading experts with over 40 years of combined experience on seismic isolation and the behavior of multilayer rubber bearings; is accompanied by a website at www.wiley.com/go/kellyThe concise approach of Mechanics of Rubber Bearings for Seismic and Vibration Isolation forms an invaluable resource for graduate students and researchers/practitioners in structural and mechanical engineering departments, in particular those working in seismic and vibration isolation.
Author Notes
James M Kelly & Dimitrios A Konstantinidis, University of California at Berkeley, USA
James M Kelly is a Professor in the Graduate School, Department of Civil and Environmental Engineering, Division of Structural Engineering Mechanics and Materials at the University of California at Berkeley, and a Participating Faculty Member at the Earthquake Engineering Research Center, University of California at Berkeley. He has authored over 300 refereed journal papers and 2 books, Earthquake-Resistant Design with Rubber 2nd ed 1996 (Springer Verlag) and Design of Seismic Isolated Structures, 1999, Wiley. He has led the way in experimental investigations of elastomeric seismic isolation bearings by conducting many pioneering studies of seismically isolated structures and structures with energy dissipators. In testing hundreds of bearings he achieved numerous advances, including the application of high-damping rubber for seismic isolation bearings - used in the first U.S. isolated building and in more than 100 structures around the world and the understanding of the dynamic and ultimate behavior of elastomeric seismic isolation at large deformation.
Dimitrios A Konstantinidis is a Postdoctoral Researcher on health monitoring at University of California, Berkeley, working on the development and testing of a reliable scheme for monitoring the health of fluid viscous dampers in bridges via wireless communication.
Table of Contents
About The Authors | p. ix |
Preface | p. xiii |
1 History of Multilayer Rubber Bearings | p. 1 |
2 Behavior of Multilayer Rubber Bearings under Compression | p. 19 |
2.1 Introduction | p. 19 |
2.2 Pure Compression of Bearing Pads with Incompressible Rubber | p. 19 |
2.2.1 Infinite Strip Pad | p. 24 |
2.2.2 Circular Pad | p. 25 |
2.2.3 Rectangular Pad (with Transition to Square or Strip) | p. 26 |
2.2.4 Annular Pad | p. 27 |
2.3 Shear Stresses Produced by Compression | p. 30 |
2.4 Pure Compression of Single Pads with Compressible Rubber | p. 33 |
2.4.1 Infinite Strip Pad | p. 33 |
2.4.2 Circular Pad | p. 36 |
2.4.3 Rectangular Pad | p. 39 |
2.4.4 Annular Pad | p. 40 |
3 Behavior of Multilayer Rubber Bearings under Bending | p. 45 |
3.1 Bending Stiffness of Single Pad with Incompressible Rubber | p. 45 |
3.1.1 Infinite Strip Pad | p. 47 |
3.1.2 Circular Pad | p. 48 |
3.1.3 Rectangular Pad | p. 49 |
3.1.4 Annular Pad | p. 51 |
3.2 Bending Stiffness of Single Pads with Compressible Rubber | p. 52 |
3.2.1 Infinite Strip Pad | p. 52 |
3.2.2 Circular Pad | p. 54 |
3.2.3 Rectangular Pad | p. 57 |
3.2.4 Annular Pad | p. 58 |
4 Steel Stress in Multilayer Rubber Bearings under Compression and Bending | p. 63 |
4.1 Review of the Compression and Bending of a Pad | p. 64 |
4.2 Steel Stresses in Circular Bearings with Incompressible Rubber | p. 65 |
4.2.1 Stress Function Solution for Pure Compression | p. 68 |
4.2.2 Stress Function Solution for Pure Bending | p. 71 |
4.3 Steel Stresses in Circular Bearings with Compressible Rubber | p. 73 |
4.3.1 Stress Function Solution for Pure Compression | p. 73 |
4.3.2 Stress Function Solution for Pure Bending | p. 76 |
4.4 Yielding of Steel Shims under Compression | p. 78 |
4.4.1 Yielding of Steel Shims for the Case of Incompressible Rubber | p. 78 |
4.4.2 Yielding of Steel Shims for the Case of Compressible Rubber | p. 79 |
5 Buckling Behavior of Multilayer Rubber Isolators | p. 83 |
5.1 Stability Analysis of Bearings | p. 83 |
5.2 Stability Analysis of Annular Bearings | p. 90 |
5.3 Influence of Vertical Load on Horizontal Stiffness | p. 91 |
5.4 Downward Displacement of the Top of a Bearing | p. 95 |
5.5 A Simple Mechanical Model for Bearing Buckling | p. 100 |
5.5.1 Postbuckling Behavior | p. 104 |
5.5.2 Influence of Compressive Load on Bearing Damping Properties | p. 106 |
5.6 Rollout Stability | p. 108 |
5.7 Effect of Rubber Compressibility on Buckling | p. 110 |
6 Buckling of Multilayer Rubber Isolators in Tension | p. 113 |
6.1 Introduction | p. 113 |
6.2 Influence of a Tensile Vertical Load on the Horizontal Stiffness | p. 115 |
6.3 Vertical Displacement under Lateral Load | p. 117 |
6.4 Numerical Modelling of Buckling in Tension | p. 120 |
6.4.1 Modelling Details | p. 120 |
6.4.2 Critical Buckling Load in Compression and Tension | p. 122 |
7 Influence of Plate FIexibility"on"the Buckling Load of Murtilayer Rubber Isolators | p. 129 |
7.1 Introduction | p. 129 |
7.2 Shearing Deformations of Short Beams | p. 130 |
7.3 Buckling of Short Beams with Warping Included | p. 139 |
7.4 Buckling Analysis for Bearing | p. 146 |
7.5 Computation of Buckling Loads | p. 153 |
8 Frictional Restraint on Unbonded Rubber Pads | p. 159 |
8.1 Introduction | p. 159 |
8.2 Compression of Long Strip Pad with Frictional Restraint | p. 160 |
8.3 The Effect of Surface Slip on the Vertical Stiffness of an Infinite Strip Pad | p. 163 |
8.4 The Effect of Surface Slip on the Vertical Stiffness of a Circular Pad | p. 169 |
9 Effect of Friction on Unbonded Rubber Bearings177 | |
9.1 Introduction | p. 178 |
9.2 Bearing Designs and Rubber Properties | p. 180 |
9.3 Ultimate Displacement of Unbonded Bearings180 | |
9.4 Vertical Stiffness of Unbonded Rubber Bearings with Slip on their Top and Bottom Supports | p. 184 |
Appendix Elastic Connection Device for One or More Degrees of Freedom | p. 193 |
References | p. 209 |
Photograph Credits | p. 213 |
Author Index | p. 215 |
Subject-Index | p. 217 |