Numerical modeling of elastomeric seismic isolators for determining force–displacement curve from cyclic loading

Majid Saedniya1, Sayed Behzad Talaeitaba2
1Islamic Azad University of Khomein, Khomein, Iran
2Islamic Azad University of Khomein, Khomeinishahr Branch of Azad University, Khomeyni Shahr, Iran

Tóm tắt

The ideal performance of seismic isolating systems during the past earthquakes has proved them to be very useful in protecting structures against earthquakes. The cyclic loading experimental tests are an important part in the process of completing the design of the isolators, yet they are very expensive and time consuming. Using the accurate analytical modeling of hysteresis tests and knowing the limitations and the amount of error of the finite elements model and its effect on designing the isolated structure make it possible to reduce the financial and time expenses involved in designing seismic isolators along with experimental tests. In the present study, the cyclic loading of two different isolating systems, namely, the high damping rubber bearing (HDRB) and lead rubber bearing (LRB) have been modeled and analyzed in ABAQUS and the outcomes were compared with the experimental results attained by other researchers. Regarding the fact that the most important and complicated component of the elastomeric isolating system is rubber, it was modeled using various strain energy functions. Other factors affecting the finite elements models of elastomeric isolators were also studied. After comparing the effective stiffness of the experimental sample with the analytical model of HDRB, the Yeoh function had the best performance in determining the effective stiffness of the isolating system with an error of less than 7%. In studying LRBs, too, three types of bearings with different dimensions and lateral strain values were studied; the polynomial function in shear strain value of 150% had the best performance in estimating effective stiffness and damping with errors of less than 3% and 18%, respectively.

Tài liệu tham khảo

APASmith M (2007) ABAQUS/Standard user’s manual, version 6.7. Simulia, Providence, RI Asl MJ, Rahman MM, Karbakhsh A (2014) Numerical analysis of seismic elastomeric isolation bearing in the base-isolated buildings. Open J Earthq Res 3:1–4 Bergstrom JS (2002) Determination of material parameters for the 8-chain model for use with ABAQUS, LS-DYNA and ANSYS. https://polymerfem.com/polymer_files/eightChain_findProperties.pdf Bradley GL, Chang PC, McKenna GB (2001) Rubber modeling using uniaxial test data. J Appl Polym Sci 81(4):837–848 Busfield JJC, Muhr AH (2003) Constitutive models for rubber. In: Proceeding of third European conference on constitutive models for rubber, 15–17 September, London, UK Charlton DJ, Yang J, Teh KK (1993) A review of methods to characterize rubber elastic behavior for use in finite element analysis. In: Department of Mechanical Engineering, Curtin University of Technology, Perth, Western Australian, vol 67, pp 481–503 Doudoumis IN, Gravalas F, Doudoumis NI (2005) Analytical modeling of elastomeric lead-rubber bearings with the use of finite element micro models. In: 5th GRACM international congress on computational mechanics, Limassol Forni M, La Grotteria M, Martelli A (2002) Verification and improvement of analytical modeling of seismic isolation bearings and isolated structures. In: Verification of analysis methods for predicting the behaviour of seismically isolated nuclear structures, final report of a coordinated research project, IAEA-TECDOC-1288, pp 105–130 Garcia R, Manuel J, Ruiz S, Oscar E, Lopez C (2005) Technical report hyperelastic material modeling. In: Departamento de Ingenier´ıa Mec´anica, Universidad EAFIT Guo Z, Sluys J (2008) Constitutive modelling of hyperelastic rubber-like materials. HERON 53(3):109–132 Imbimbo M, De Luca A (1998) FE stress analysis of rubber bearings under axial loads. Comput Struct 68:31–39 Martelli A, Indirli M, Spadoni B (1992) Experimental on seismic isolation bearings. In: Earthquake engineering tenth world conference, Rotterdam, pp 2385–2390 Mishra HK, Igarashi A, Matsushima H (2013) Finite element analysis and experimental verification of the scrap tire rubber pad isolator. Bull Earthq Eng 11:687–707 Mori A, Moss PJ, Carr AJ (1996) The seismic behavior of elastomeric and lead-rubber bearings. In: Elsevier science Ltd, eleventh world conference on earthquake engineering, paper no. 1692 Naeim F, Kelly JM (1999) Design of seismic isolated structures from theory to practice. Wiley, New York Nersessyan T, Hovhannisyan G, Tonoyan A (2001) Investigations on stiffness-damping interaction for rubber bearings. J Struct Control 8(2):219–233 Ohsaki M, Miyamura T, Kohiyama M, Yamashita T, Yamamoto M, Nakamura N (2015) Finite-element analysis of laminated rubber bearing of building frame under seismic excitation. Earthq Eng Struct Dyn 4:1881–1898 Salomon O, Oller S, Barbat A (1999) Finite element analysis of base isolated buildings subjected to earthquake loads. Int J Numer Methods Eng 46:1741–1761 Suhara J, Takeda M, Tamura T (1992) Dynamic ultimate analysis of base-isolated system. In: Earthquake engineering tenth world conference, Rotterdam, pp 2395–2400 Talaeitaba SB, Pourmasoud MM, Jabbari M (2019) An innovative base isolator with steel rings and a rubber core. Asian J Civ Eng 20(3):313–325 Trevor EK (2001) Base isolation of structure. Holmes Consulting Group Ltd, Wellington Tun Abdul Razak Research Centre (2002) Analysis methods for predicting the behaviour of isolators and formulation of simplified models for use in predicting response of structures to earthquake type input. In: Verification of analysis methods for predicting the behaviour of seismically isolated nuclear structures, final report of a coordinated research project, IAEA-TECDOC-1288, pp 29–78 Venkatesh K, Srinivasa Murthy PL (2012) Experimental validation and data acquisition for hyper elastic material models in finite element analysis. Int J Mech Ind Eng (IJMIE) 2(4):72–76 Yoo B, Lee JH, Koo GH (2002) Development of analysis methods for seismically isolated nuclear structures. In: Verification of analysis methods for predicting the behaviour of seismically isolated nuclear structures, Final report of a coordinated research project, IAEA-TECDOC-1288, pp 167–190