Earthquake-Resistant Design with Rubber

Kelly, James M.

doi:10.1007/978-1-4471-0971-6

Cited by 434 publications

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“…Since the high-damping rubber compound is known to possess elasticity, plasticity, and viscosity [27], HDRB show a highly nonlinear behavior combining both hysteresis and rate dependence. Nevertheless, for the sake of simplicity, a Kelvin-Voigt linear visco-elastic model was adopted in the design phase [28]. For a target shear strain of 100-150%, the equivalent damping ratio of HDRB is experimentally found to range from 0.10 to 0.15 [29].…”

Section: Optimizationmentioning

confidence: 99%

Dynamic response and optimal design of structures with large mass ratio TMD

Angelis

Perno

Reggio

2011

Earthq Engng Struct Dyn

193

116

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This paper investigates the dynamic behavior and the seismic effectiveness of a non-conventional Tuned Mass Damper (TMD) with large mass ratio. Compared with conventional TMD, the device mass is increased up to be comparable with the mass of the structure to be protected, aiming at a better control performance. In order to avoid the introduction of an excessive additional weight, masses already present on the structure are converted into tuned masses, retaining structural or architectural functions beyond the mere control function. A reduced order model is introduced for design purposes and the optimal design of a large mass ratio TMD for seismic applications is then formulated. The design method is specifically developed to implement High-Damping Rubber Bearings (HDRB) to connect the device mass to the main structure, taking advantage of combining stiffness and noticeable damping characteristics. Ground acceleration is modeled as a Gaussian random process with white noise power spectral density. A numerical searching technique is used to obtain the optimal design parameter, the frequency ratio alpha, which minimizes the root-mean-square displacement response of the main structure. The study finally comprises shaking table tests on a 1:5 scale model under a wide selection of accelerograms, both artificial and natural, to assess the seismic effectiveness of the proposed large mass ratio TMD. Copyright (C) 2011 John Wiley & Sons, Ltd

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Section: Optimizationmentioning

confidence: 99%

Dynamic response and optimal design of structures with large mass ratio TMD

Angelis

Perno

Reggio

2011

Earthq Engng Struct Dyn

193

116

View full text Add to dashboard Cite

show abstract

“…with p = 0 at r = R. The solution involves I 0 and K 0 , the modified Bessel functions of the first and second kind [Kelly 1997]. Because the solution is bounded at r = 0, the term in K 0 is excluded and the general solution for p(r ) is given by…”

Section: Compression Stiffness For Circular Pads With Large Shape Facmentioning

confidence: 99%

“…However, the bending stiffness plays an essential role in the determination of the buckling load of a bearing. It has been shown [Kelly 1997] that bulk compressibility in the rubber has a surprisingly large effect on both the compression stiffness and bending stiffness of a bearing even for shape factors as low as 10. The buckling load P cr of a bearing is given by [Kelly 1997]…”

Section: Influence Of Compressibility On Buckling Of Bearingsmentioning

confidence: 99%

“…The expression 1 3 E c I in (4-2) is the effective bending stiffness (E I ) eff of a pad when the material is assumed to be incompressible and we will denote it by (E I ) inc = 2G S 2 I . We assume that the buckling load is given by the solution in (4-1), but substitute for (E I ) eff the expression [Kelly 1997]…”

Section: Influence Of Compressibility On Buckling Of Bearingsmentioning

confidence: 99%

“…Thus the critical pressures are 38.7 MPa for RB2 and 35.4 MPa for RB3. The interaction between the horizontal stiffness and the vertical load in an elastomeric bearing is given by the expression [Kelly 1997]…”

Section: Influence Of Compressibility On Buckling Of Bearingsmentioning

confidence: 99%

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Untitled

2011

SIAPS

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Time-Domain Analysis of Linear Hysteretic Damping

Inaudi

Makris

1996

Earthquake Engng. Struct. Dyn.

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SUMMARYTwo linear-hysteretic-damping models that provide energy dissipation independent of the deformation frequency, are studied in this paper: a hysteretic Kelvin element and a hysteretic Maxwell element. Both models use the Hilbert transform and yield integro-differential equations for the equations of motion of structures when real-valued signals are utilized in the formulation. It is shown that the use of analytic (complex-valued) signals allows the transformation of these integro-differential equations into differential equations with analytic input signals and complex-valued coefficients. These differential equations show both stable and unstable poles. A technique for the solution of these differential equations is presented; it consists of a conventional modal decomposition of the state-space equations and the integration of the differential equations forward in time for the modal co-ordinates associated with stable poles, and backwards in time for the modal co-ordinates associated with unstable poles. Some numerical examples are presented to illustrate the characteristics of the models and the proposed analysis technique.

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Earthquake-Resistant Design with Rubber

Cited by 434 publications

References 0 publications

Dynamic response and optimal design of structures with large mass ratio TMD

Dynamic response and optimal design of structures with large mass ratio TMD

Untitled

Time-Domain Analysis of Linear Hysteretic Damping

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