KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
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Finite Element Analysis of Lead Rubber Bearing by Using Strain Energy Function of Hyper-Elastic Material

초탄성 재료의 변형률에너지함수를 이용한 LRB받침의 유한요소해석

  • Received : 2015.05.13
  • Accepted : 2016.04.03
  • Published : 2016.06.01
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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.

이 연구는 대표적인 면진장치인 납고무베어링(LRB)의 유한요소모델의 신뢰성을 향상시키기 위하여 주재료인 고무의 재료특성에 대하여 연구하였다. 고무는 일반적인 탄성재료와는 달리 대변형, 비선형특성을 가지는 초탄성 재료이다. 본 연구에서는 고무를 초탄성 재료로 가정하고 그의 재료특성을 변형률에너지함수로 표현하여 LRB의 유한요소모델을 개발하였다. 연구를 위하여 여러 변형률에너지함수 중 몇 가지를 선별하고 이를 이용하여 고무의 재료특성을 예측하였다. 변형률에너지함수를 이용하여 결정된 고무의 재료특성과 표준적인 납의 재료특성을 이용하여 LRB의 유한요소모델을 개발하고, 수평방향과 수직방향의 힘-변위 관계를 해석하였다. LRB의 유한요소모델을 통하여 해석으로 예측한 수평과 수직방향 강성을 실험결과와 비교함으로써 개발된 유한요소모델의 적합성을 검증하였다.

Keywords

References

  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). https://doi.org/10.3795/KSME-A.2011.35.11.1521
  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. https://doi.org/10.1002/eqe.2305
  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). https://doi.org/10.3795/KSME-A.2004.28.6.848
  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). https://doi.org/10.3795/KSME-A.2004.28.6.816
  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. https://doi.org/10.1098/rspa.1972.0026
  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. https://doi.org/10.1098/rsta.1948.0002
  17. 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. https://doi.org/10.1098/rsta.1948.0024
  18. 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. https://doi.org/10.1098/rsta.1951.0004
  19. 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. https://doi.org/10.2320/matertrans.MRA2007078
  20. 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.
  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. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:11(1696)
  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. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:9(1227)
  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. 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.
  26. 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. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:5(607)
  27. 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.

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