2007
DOI: 10.1061/(asce)0733-9445(2007)133:9(1227)
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Vertical Stiffness of Elastomeric and Lead–Rubber Seismic Isolation Bearings

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Cited by 123 publications
(95 citation statements)
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“…The axial (i.e., vertical) stiffness K v of the HDRB model is obtained from the two-spring model of Koh and Kelly (1987), which has been validated experimentally by Warn et al (2007). The coupling of horizontal and vertical behaviour is due to: (1) the variation of the shear stiffness with axial load and (2) the dependence of axial stiffness on the magnitude of the lateral displacement (Kumar et al 2014).…”
Section: High Damping Rubber Isolators Model Descriptionmentioning
confidence: 99%
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“…The axial (i.e., vertical) stiffness K v of the HDRB model is obtained from the two-spring model of Koh and Kelly (1987), which has been validated experimentally by Warn et al (2007). The coupling of horizontal and vertical behaviour is due to: (1) the variation of the shear stiffness with axial load and (2) the dependence of axial stiffness on the magnitude of the lateral displacement (Kumar et al 2014).…”
Section: High Damping Rubber Isolators Model Descriptionmentioning
confidence: 99%
“…The material, geometric and mechanical properties of the elastomeric bearings for this reference bridge configuration are reported in Table 3; calculations of properties from the primary parameters have been carried out in accordance with the formulae reported in Kumar et al (2014). Reference has been made to Kelly (1997) for the evaluation of the critical buckling load and adjusted (effective) bearing geometrical properties, and to Warn et al (2007), with reference mainly to the horizontal-vertical behaviour interaction. Figure 7 reports the time history of the deck horizontal displacement, d hd , and of the pier cap displacement, d hp , for the first record (#1) considered in this study.…”
Section: Seismic Response Of the Reference Bridge With Emphasis On Thmentioning
confidence: 99%
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“…However, according to Equation 5, this range of shape factors results in vertical stiffness that ranges from one to several thousand times greater than the horizontal stiffness. As a result, isolation systems composed of bearings detailed with high shape factors (15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)(29)(30) typically have vertical isolation periods ranging from 0.03 to 0.15 second. Consequently, the vertical isolation frequencies can align with the dominant frequencies of the vertical spectrum, leading to significant amplification of the vertical acceleration.…”
Section: Rubber Covermentioning
confidence: 99%
“…Therefore, isolation systems composed of elastomeric bearings detailed with high shape factors, e.g., 15-30, provide only horizontal isolation. Figure 2 presents the shear force-horizontal deformation and vertical force-vertical deformation response of a low-damping natural rubber bearing [23]. While damping in natural rubber bearings is neither hysteretic nor viscous the shear force-horizontal deformation relationship is often modeled using either: (1) a linear viscous representation; or (2) a bilinear hysteretic representation.…”
Section: Rubber Covermentioning
confidence: 99%