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http://dx.doi.org/10.12652/Ksce.2016.36.3.0361

Finite Element Analysis of Lead Rubber Bearing by Using Strain Energy Function of Hyper-Elastic Material  

Cho, Sung Gook (Innose Tech)
Park, Woong Ki (Innose Tech)
Yun, Sung Min (Innose Tech)
Publication Information
KSCE Journal of Civil and Environmental Engineering Research / v.36, no.3, 2016 , pp. 361-374 More about this Journal
Abstract
The material property of the rubber has been studied in order to improve the reliability of the finite element model of a lead rubber bearing (LRB) which is a typical base isolator. Rubber exhibits elastic behaviour even within the large strain range, unlike the general structural material, and has a hyper-elastic characteristics that shows non-linear relationship between load and deformation. This study represents the mechanical characteristics of the rubber by strain energy function in order to develop a finite element (FE) model of LRB. For the study, several strain energy functions were selected and mechanical properties of the rubber were estimated with the energy functions. A finite element model of LRB has been developed by using material properties of rubber and lead which were identified by stress tests. This study estimated the horizontal and vertical force-displacement relationship with the FE model. The adequacy of the FE model was validated by comparing the analytical results with the experimental data.
Keywords
Isolation bearing; Lead Rubber Bearing (LRB); Hyper-elastic; Strain energy function; Finite element model;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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1 ABAQUS (2012). ABAQUS Analysis User's Manual Volume III : Materials, Hibbit, Karlesson & Sorenson, Inc.
2 Arruda, E. M. and Boyce, M. C. (1993). "A three-dimensional Model for the large stretch behavior of rubber elastic materials." Journal Mech. Phys. Solids, Vol. 42, No. 2, pp. 389-412.
3 Baek, U. C., Cho, M. H. and Hawong, J. S. (2011). "Material properties for reliability improvement in the FEA results for rubber parts." Journal of the Korean Society of Mechanical Engineers A, Vol. 35, No. 11, pp. 1521-1528 (in Korean).   DOI
4 Furukawa, S., Sato, E., Shi, Y., Becker, T. and Nakashima, M. (2013). "Full-Scale shaking table test of a base-isolated medical facility subjected to vertical motions." Earthquake Engineering & Structural Dynamics, Vol. 42, pp. 1931-1949.   DOI
5 International Organization for Standardization (2010). Elastomeric seismic-protection isolator. ISO 22762, Geneva.
6 Japan Electric Association (2013). Seismic Design Guideline for Base-Isolated Structures of Nuclear Power Plant. JEAG-4614 (in Japanese).
7 Kalpakidis, I. V. and Constantinou, M. C. (2008). Effects of Heating and Load History on the Behavior of Lead-Rubber Bearings, Technical Report MCEER-08-0027, Multidisciplinary Center for Earthquake Engineering Research, University at Buffalo, State University of New york.
8 Kim, H. Y., Choi, C., Bang, W. J. and Kim, J. S. (1993). "Large deformation finite element analysis for automotive rubber component." Journal of the Korean Society of Automotive Engineers, Vol. 15, No. 1, pp. 107-119 (in Korean).
9 Kim, W. D., Kim, W. S., Kim, D. J., Woo, C. S. and Lee, H. J. (2004). "Mechanical testing and nonlinear material properties for finite element analysis of rubber components." Journal of the Korean Society of Mechanical Engineers A, Vol. 28, No. 6, pp. 848-859 (in Korean).   DOI
10 Korea Institute of Machinery & Materials (KIMM) (2004). Development of Integrated Design System for Mechanical Rubber Components, Chapter 2, No. M1-9911-00-0014 (in Korean)
11 Lee, H. Y., Kim, D. W., Lee, J. H. and Nahm, S. H. (2004). "Software and hardware development of micro-indenter for material property evaluation of hyper-elastic rubber." Journal of The Korean Society of Mechanical Engineers, A Book, Vol. 28, No. 6, pp. 816-825 (in Korean).   DOI
12 Lee, J. H., Yoo, B. and Koo, G. H. (1996). "Finite element analysis of seismic isolation bearing." Journal of the Computational Structural Engineering Institute of Korea, pp. 45-51 (in Korean).
13 Ogden, R. W. (1972). "Large deformation isotropic elasticity ; On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids." Proc. of Royal Society of London, Series A. Mathematical and Physical Sciences, Vol. 326, No. 1567, pp. 565-584.   DOI
14 Park, K. S. (2001). Finite Element Analysis of Seismic Isolation Rubber Bearing, Master's Thesis, Korea Advanced Institute of Science and Technology, Korea (in Korean)
15 Park, S. H., Lee, B. U., Hong, M. P. and Ryu, B. R. (2000). "FEM Analysis of alternatively laminated structure constructed of rubber and reinforced aluminium layers." Journal of the Korean Society of Mechanical Engineers A, pp. 402-406 (in Korean).
16 Rivlin, R. S. (1948). Large elastic deformations of isotropic materials. I. Fundamental Concepts, Philosophical Transactions of the Royal Society of London, Series A, Mathematical and Physical Sciences, Vol. 240, No. 822, pp. 459-490.   DOI
17 Seki, W., Fukahori, Y., Iseda, Y. and Matsunaga, T. (1987). "A large deformation finite element analysis for multilayer elastomeric bearings." Transaction of the Meeting of the Rubber Division, pp. 856-870.
18 Rivlin, R. S. (1948). Large elastic deformations of isotropic materials. IV. Further developments of the general theory, Philosophical Transactions of the Royal Society of London, Series A, Mathematical and Physical Sciences, Vol. 241, No. 835, pp. 379-397.   DOI
19 Rivlin, R. S. (1951). Large elastic deformations of isotropic materials. VII. Experimental on the Deformation of Rubber, Philosophical Transactions of the Royal Society of London, Series A, Mathematical and Physical Sciences, Vol. 243, No. 865, pp. 251-288.   DOI
20 Satoshi, H., Keigo, M., Taichi, M., Takayuki, N. and Chiaki, O. (2007). "Dynamic and static restoration behaviors of pure lead and tin in the ambient temperature range." Journal of Materials Transactions, Vol. 48, No. 10, pp. 2665-2673.   DOI
21 Warn, G. P. and Whittaker, A. S. (2006). "A study of the coupled horizontal-vertical behavior of elastomeric and lead-rubber seismic isolation bearings." Technical Report MCEER-06-0011.
22 Warn, G. P. and Whittaker, A. S. (2008). "Vertical earthquake load on seismic isolation systems in bridges." Journal of Structural Engineering, ASCE 1696-1704.   DOI
23 Warn, G. P., Whittaker, A. S. and Constansinou, M. C. (2007). "Vertical stiffness of elastomeric and lead-rubber seismic isolation bearings." Journal of Structural Engineering, ASCE 1227-1236.   DOI
24 Woo, C. S., Kim, W. D., Kim, K. S. and Kwon, J. D. (2002). "An experimental study on the dynamic characteristics of rubber isolator." Journal of Elastomer, Vol. 37, No. 3, pp. 183-191 (in Korean).
25 Zhou, Z., Wong, J. and Mahin, S. (2013). "Vertical and 3D isolation system: A Review with Emphasis on Their Use in Nuclear Structures." SMiRT-22, San Francisco, California, USA, August 18-23.
26 Yeoh, O. H. (1993). "Some forms of the strain energy function for rubber." Rubber Chemistry and Technology (ISSN 0035-9475), Vol. 63, No. 5, pp. 754-771.
27 Yoshida, J., Masato, A., Yozo, F. and Hiroshi, W. (2004). "Threedimensional finite-element analysis of high damping rubber bearings." Journal of Engineering Mechanics, Vol. 130, pp. 607-620.   DOI