Abstract
This paper deals with the behavior of a rubber-layer roller bearing (RLRB) isolation system. This system consists of steel cylinders interposed between steel plates padded with high damping rubber layers. When the cylinders start to roll, a partial decoupling is achieved between the superstructure response and the ground motion. However, the presence of rubber layers in RLRB isolators aims at dissipating part of the seismic energy, thus reducing the relative motion between the base and the superstructure (building). To better understand this phenomenon, we proceeded to a mechanistic study of the viscoelastic contact interaction between the rolling cylinders and the rubber layers. The analysis is led in the framework of continuum mechanics and linear viscoelasticity by means of a numerical strategy, belonging to the class of boundary element methods, able to take into account the viscoelastic layer thickness. The results show that, depending on the design parameters, a strong reduction of the viscoelastic friction can be achieved, useful to uncouple the motion of the superstructure from the motion of the base and then of the ground, without negatively affecting the amount of energy dissipation per unit time. The simulations allow determining the optimal sizes and dimensions to the component parts of the isolator.
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Notes
The official earthquake spectra data are available at http://itaca.mi.ingv.it/.
References
Butterworth JW (2006) Seismic response of a non-concentric rolling isolator system. Adv Struct Eng 9(1):39–54
Carbone G, Mangialardi L (2004) Adhesion and friction of an elastic half-space in contact with a slightly wavy rigid surface. J Mech Phys Solids 52(6):1267–1287
Carbone G, Mangialardi L (2008) Analysis of the adhesive contact of confined layers by using a Green’s function approach. J Mech Phys Solids 56(2):684–706
Carbone G, Putignano C (2013) A novel methodology to predict sliding and rolling friction of viscoelastic materials: theory and experiments. J Mech Phys Solids 61(8):1822–1834
Carbone G, Scaraggi M, Tartaglino U (2009) Adhesive contact of rough surfaces: comparison between numerical calculations and analytical theories. Eur Phys J E 30(1):65–74
Charmet JC, Barquins M (1996) Adhesive contact and rolling of a rigid cylinder under the pull of gravity on the underside of a smooth-surfaced sheet of rubber. Int J Adhes Adhes 16(4):249–254
Christensen RM (1982) Theory of viscoelasticity. Academic Press, New York
Ciavarella M, Menga N (2015) A note on wear of elastic sliding parts with varying contact area. J Mech Mater Struct 10(3):255–264
Code UB (1997) Uniform building code. In: International conference of building officials, Whittier
Cui S (2012) Integrated design methodology for isolated floor systems in single-degree-of-freedom structural fuse systems. State University of New York at Buffalo
Dapp WB, Lücke A, Persson BN, Müser MH (2012) Self-affine elastic contacts: percolation and leakage. Phys Rev Lett 108(24):244,301
Diaferio M, Foti D (2015) On the nonlinear behavior of rc buildings in near-field areas. Int J Math Models Methods Appl Scie 9:607–613
Dimaki A, Dmitriev AI, Menga N, Papangelo A, Ciavarella M, Popov VL (2016) Fast high-resolution simulation of the gross slip wear of axially symmetric contacts. Tribol Trans 59(1):189–194
Foti D (2014a) On the seismic response of protected and unprotected middle-rise steel frames in far-field and near-field areas. Shock Vib 2014:11. doi:10.1155/2014/393870
Foti D (2014b) Response of frames seismically protected with passive systems in near-field areas. Int J Struct Eng 5(4):326–345
Foti D (2015) Local ground effects in near-field and far-field areas on seismically protected buildings. Soil Dyn Earthq Eng 74:14–24
Foti D, Kelly J (1996) Experimental study of a reduced scale model seismically base isolated with rubber-layer roller bearings (RLRB). Seismic Engineering Monographs, Centro Internacional de Metodos Numericos en Ingenieria
Foti D, Mongelli M (2011) Isolatori sismici per edifici esistenti e di nuova costruzione. Dario Flaccovio Editore, Palermo
Foti D, Diaferio M, Nobile R (2010) Optimal design of a new seismic passive protection device made in aluminium and steel. Struct Eng Mech 35(1):119–122
Foti D, Diaferio M, Nobile R (2013) Dynamic behavior of new aluminum–steel energy dissipating devices. Struct Control Health Monit 20(7):1106–1119
Guerreiro L, Azevedo J, Muhr AH (2007) Seismic tests and numerical modeling of a rolling-ball isolation system. J Earthq Eng 11(1):49–66
Harvey PS, Gavin HP (2013) The nonholonomic and chaotic nature of a rolling isolation system. J Sound Vib 332(14):3535–3551
Harvey PS, Kelly KC (2016) A review of rolling-type seismic isolation: historical development and future directions. Eng Struct 125:521–531
Harvey P Jr (2015) Vertical accelerations in rolling isolation systems: Experiments and simulations. J Eng Mech 142:04015091
Hunter S (1961) The rolling contact of a rigid cylinder with a viscoelastic half space. J Appl Mech 28(4):611–617
Hyun S, Pei L, Molinari JF, Robbins MO (2004) Finite-element analysis of contact between elastic self-affine surfaces. Phys Rev E 70(2):026,117
Jangid R, Kelly J (2001) Base isolation for near-fault motions. Earthq Eng Struct Dyn 30(5):691–707
Jeon BG, Chang SJ, Kim SW, Kim NS (2015) Base isolation performance of a cone-type friction pendulum bearing system. Struct Eng Mech 53(2):227–248
Kani N (2009) Current state of seismic-isolation design. J Dis Res 4(3):175–181. doi:10.20965/jdr.2009.p0175
Kelly JM (1986) Aseismic base isolation: review and bibliography. Soil Dyn Earthq Eng 5(4):202–216
Kelly JM (1990) Base isolation: linear theory and design. Earthq Spectra 6(2):223–244
Kelly JM (1997) Seismic isolation for earthquake-resistant design. In: Earthquake-resistant design with rubber. Springer, London, pp 1–18. doi:10.1007/978-1-4471-0971-6_1
Kemeny ZA (1997) Ball-in-cone seismic isolation bearing. US Patent 5,599,106
Le Tallec P, Rahler C (1994) Numerical models of steady rolling for non-linear viscoelastic structures in finite deformations. Int J Numer Methods Eng 37(7):1159–1186
Lin IK, Ou KS, Liao YM, Liu Y, Chen KS, Zhang X et al (2009) Viscoelastic characterization and modeling of polymer transducers for biological applications. J Microelectromech Syst 18(5):1087–1099
Lin TW, Hone CC (1993) Base isolation by free rolling rods under basement. Earthq Eng Struct Dyn 22(3):261–273
Melkumyan M (2011) New solutions in seismic isolation. LUSABATS, Yerevan
Menga N, Ciavarella M (2015) A winkler solution for the axisymmetric hertzian contact problem with wear and finite element method comparison. J Strain Anal Eng Des 50(3):156–162
Menga N, Putignano C, Carbone G, Demelio G (2014) The sliding contact of a rigid wavy surface with a viscoelastic half-space. Proc R Soc A 470:20140392. doi:10.1098/rspa.2014.0392
Menga N, Afferrante L, Carbone G (2016a) Adhesive and adhesiveless contact mechanics of elastic layers on slightly wavy rigid substrates. Int J Solids Struct 88:101–109
Menga N, Afferrante L, Carbone G (2016b) Effect of thickness and boundary conditions on the behavior of viscoelastic layers in sliding contact with wavy profiles. J Mech Phys Solids 95:517–529
Myslimaj B, Gamble S, Chin-Quee D, Davies A (2003) Base isolation technologies for seismic protection of museum artifacts. In: The 2003 IAMFA Annual Conference in San Francisco
Naeim F, Kelly JM (1999) Design of seismic isolated structures: from theory to practice. Wiley, New York
Nagarajaiah S (2006) Structural control benchmark problem: smart base isolated building subjected to near fault earthquakes. Struct Control Health Monit 13(2–3):571–572
Nasdala L, Kaliske M, Becker A, Rothert H (1998) An efficient viscoelastic formulation for steady-state rolling structures. Comput Mech 22(5):395–403
Ordonez D, Foti D, Bozzo L (2003) Comparative study of the inelastic response of base isolated buildings. Earthq Eng Struct Dyn 32(1):151–164
Padovan J (1987) Finite element analysis of steady and transiently moving/rolling nonlinear viscoelastic structure—I. Theory. Comput Struct 27(2):249–257
Padovan J, Paramadilok O (1985) Transient and steady state viscoelastic rolling contact. Comput Struct 20(1):545–553
Padovan J, Kazempour A, Tabaddor F, Brockman B (1992) Alternative formulations of rolling contact problems. Finite Elem Anal Des 11(4):275–284
Putignano C, Carbone G, Dini D (2016) Theory of reciprocating contact for viscoelastic solids. Phys Rev E 93(4):043,003
Shull KR, Ahn D, Mowery CL (1997) Finite-size corrections to the JKR technique for measuring adhesion: soft spherical caps adhering to flat, rigid surfaces. Langmuir 13(6):1799–1804
Tirca LD, Foti D, Diaferio M (2003) Response of middle-rise steel frames with and without passive dampers to near-field ground motions. Eng Struct 25(2):169–179
Tsai C (2015) Seismic isolation devices: History and recent developments. In: ASME 2015 pressure vessels and piping conference, American Society of Mechanical Engineers, p V008T08A035
Tsai C, Tsou CP, Lin YC, Chen MJ, Chen WS (2006) The material behavior and isolation benefits of ball pendulum system. In: ASME 2006 pressure vessels and piping/ICPVT-11 conference, American Society of Mechanical Engineers, pp 19–25
VanLandingham MR, Chang NK, Drzal P, White C, Chang SH (2005) Viscoelastic characterization of polymers using instrumented indentation. I. Quasi-static testing. J Polym Sci Part B: Polym Phys 43(14):1794–1811
Warn GP, Ryan KL (2012) A review of seismic isolation for buildings: historical development and research needs. Buildings 2(3):300–325
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Menga, N., Foti, D. & Carbone, G. Viscoelastic frictional properties of rubber-layer roller bearings (RLRB) seismic isolators. Meccanica 52, 2807–2817 (2017). https://doi.org/10.1007/s11012-016-0612-y
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DOI: https://doi.org/10.1007/s11012-016-0612-y