Coupled Bilateral Hysteretic Behavior of High-damping Rubber Bearings under Non-proportional Plane Loading

References

• Abe, M., J. Yoshida, and Y. Fujino. 2004a. Multiaxial behaviors of laminated rubber bearings and their Modeling. I: Experimental study. Journal of Structural Engineering, ASCE 130 (8): 1119–32.
   Web of Science ®Google Scholar
• Abe, M., J. Yoshida, and Y. Fujino. 2004b. Multiaxial behaviors of laminated rubber bearings and their Modeling. II: Modeling. Journal of Structural Engineering, ASCE 130 (8): 1133–44.
   Web of Science ®Google Scholar
• Bueche, F. 1960. Molecular basis for the Mullins effect. Journal of Applied Polymer Science 4 (10): 107–14.
   Google Scholar
• Dafalias, Y. F., and E. P. Popov. 1976. Plastic internal variables formalism of cyclic plasticity. Journal of Applied Mechanics 43 (4): 645–51.
   Web of Science ®Google Scholar
• Dafalias, Y. F. and E. P. Popov. 1975. A model for nonlinearly hardening materials for complex loading. Acta Mechanica 21 (3): 173–92.
   Web of Science ®Google Scholar
• Graesser, E. J., and F. A. Cozzarelli A multi-dimensional hysteretic model for energy absorbing devices. Technical Report, State University of New York at Buffalo 1991; NCEER- 91–0006.
   Google Scholar
• Grant, D. N., G. L. Fenves, and A. S. Whittaker. 2004. Bidirectional modelling of high-damping rubber bearings. Journal of Earthquake Engineering 8 (1): 161–85.
   Google Scholar
• Haupt, P., and K. Sedlan. 2001. Viscoplasticity of elastomeric materials: Experimental facts and constitutive modeling. Archive of Applied Mechanics 71 (2–3): 89–109.
   Web of Science ®Google Scholar
• Huang, W. H. Bi-directional testing, modeling, and system response of seismically isolated bridges. Ph.D. Dissertation, University of California, Berkeley 2002.
   Google Scholar
• Huang, W. H., G. L. Fenves, A. S. Whittaker, and S. A. Mahin Characterization of seismic isolation bearings for bridges from bi-directional testing. Proceedings of the 12th World Conference on Earthquake Engineering, Auckland, New Zealand, 2000.
   Google Scholar
• Hwang, J. S., J. D. Wu, T. C. Pan, and G. Yang. 2002. A mathematical hysteresis model for elastomeric isolation bearings. Earthquake Engineering & Structural Dynamics 31 (4): 771–89.
   Web of Science ®Google Scholar
• Jankowski, R. 2003. Nonlinear rate dependent model of high damping rubber bearing. Bulletin of Earthquake Engineering 1 (3): 397–403.
   Web of Science ®Google Scholar
• Kato, H., T. Mori, N. Murota, and M. Kikuchi. 2015. Analytical model for elastoplastic and creep-like behavior of high-damping rubber bearings. Journal of Structural Engineering, ASCE 141 (9): 04014213–1-04014213–9.
   Web of Science ®Google Scholar
• Kikuchi, M., and I. D. Aiken. 1997. An analytical hysteresis model for elastomeric seismic isolation bearings. Earthquake Engineering & Structural Dynamics 26 (2): 215–31.
   Web of Science ®Google Scholar
• Kraus, G., C. W. Childers, and K. W. Rollmann. 1966. Stress softening in carbon black-reinforced vulcanizates, strain rate and temperature effects. Journal of Applied Polymer Science 10 (2): 229–44.
   Web of Science ®Google Scholar
• Marquardt, D. W. 1963. An algorithm for least-squares estimation of nonlinear parameters. Journal of the Society for Industrial and Applied Mathematics 11 (2): 431–41.
   Google Scholar
• Moré, J. J. 1978. The Levenberg-Marquardt algorithm: Implementation and theory. Lecture Notes in Mathematics 630: 105–16.
   Google Scholar
• Mori, T., H. Kato, and N. Murota. 2010. FEM analysis of high damping laminated rubber bearings using an elastic-plastic constitutive law of the deformation history integral type. Journal of Construction and Structural Engineering, Architectural Institute of Japan 75 (658): 2171–78. (in Japanese).
   Google Scholar
• Mullins, L. 1969. Softening of rubber by deformation. Rubber Chemistry and Technology 42 (1): 339–62.
   Google Scholar
• Nakamura, T., O. Kouchiyama, and M. Kikuchi Behaviors of lead rubber bearing under horizontal bi-directional loading test. Proceedings of the 15th World Conference on Earthquake Engineering, Lisbon, Portugal, 2012.
   Google Scholar
• Ozdemir, H. 1976. Nonlinear transient dynamic analysis of yielding structures. Ph.D. Dissertation, University of California, Berkeley.
   Google Scholar
• Pan, T. C., and G. Yang Nonlinear analysis of base-isolated MDOF structures. Proceedings of the 11th World Conference on Earthquake Engineering 1996, Acapulco, Mexico, 1996.
   Google Scholar
• Tsai, C. S., T. C. Chiang, B. J. Chen, and S. B. Lin. 2003. An advanced analytical model for high damping rubber bearings. Earthquake Engineering & Structural Dynamics 32 (9): 1373–87.
   Web of Science ®Google Scholar
• Wang, S. J., W. C. Lin, Y. S. Chiang, and J. S. Hwang. 2019. Mechanical behavior of lead rubber bearings under and after non-proportional plane loading. Earthquake Engineering & Structural Dynamics 48 (13): 1508–31.
   Web of Science ®Google Scholar
• Wen, Y. K. 1976. Method for random vibration of hysteretic systems. Journal of the Engineering Mechanics Division, ASCE 102 (2): 249–63.
   Web of Science ®Google Scholar
• Yamamoto, M., S. Minewaki, H. Yoneda, and M. Higashino. 2012. Nonlinear behavior of high‐damping rubber bearings under horizontal bidirectional loading: Full-scale tests and analytical modeling. Earthquake Engineering & Structural Dynamics 41 (13): 1845–60.
   Web of Science ®Google Scholar