322 K. Erazo and S. Nagarajaiah Acknowledgments The first author was partially supported by the Instituto Tecnológico de Santo Domingo (INTEC) and the Ministerio de Educación Superior Ciencia y Tecnología (MESCYT) through the FONDOCYT program. The support is gratefully acknowledged. References 1. Kerschen, G., Worden, K., Vakakis, A., Golinval, J.-C.: Past, present and future of nonlinear system identification in structural dynamics. Mech. Syst. Signal Process. 20, 505–592 (2006) 2. Julier, S., Uhlmann, J.: A New Extension of the Kalman Filter to Nonlinear Systems. The Robotic Research Group Report. The University of Oxford (1994) 3. Doucet, A., Godsill, S., Andrieu, C.: On sequential Monte Carlo sampling methods for Bayesian filtering. Stat. Comput. 10, 197–208 (2000) 4. Worden, K., Hensman, J.J.: Parameter estimation and model selection for a class of hysteretic systems using Bayesian inference. Mech. Syst. Signal Process. 32, 153–169 (2012) 5. Chatzi, E., Smyth, A.: The unscented Kalman filter and particle filter methods for nonlinear structural system identification with non-collocated heterogeneous sensing. Struct. Control Health Monitor. https://doi.org/10.1002/stc.290 (2009) 6. Ching, J., Beck, J., Porter, K., Shaikhutdinov, R.: Bayesian state estimation method for nonlinear systems and its application to recorded seismic response. J. Eng. Mech. ASCE132, 396–410 (2006) 7. Erazo, K., Nagarajaiah, S.: Bayesian structural identification of a hysteretic negative stiffness earthquake protection system using unscented Kalman filtering. Struct. Control Health Monit. 25, e2203 https://doi.org/10.1002/stc.2203 (2018) 8. Erazo, K., Nagarajaiah, S.: An offline approach for output-only Bayesian identification of stochastic nonlinear systems using unscented Kalman filtering. J. Sound Vib. 397(9), 222–240 (2017) 9. Erazo, K., Moaveni, B., Nagarajaiah, S.: Bayesian seismic strong-motion response and damage estimation with application to a full-scale seven story shear wall structure. Eng. Struct. 186(1), 146–160 (2019) 10. Lei, Y., Xia, D., Erazo, K., Nagarajaiah, S.: A novel unscented Kalman filter for recursive state-input-system identification of nonlinear systems Mech. Syst. Signal Process. 127(15), 120–135 (2019) 11. Kerschen, G., Lenaerts, V., Golinval, J.-C.: Identification of a continuous structure with geometrical non-linearity. Part I: conditioned reverse path method J. Sound Vib. 262, 889–906 (2003) 12. Kerschen, G., Lenaerts, V., Golinval, J.-C.: Identification of a continuous structure with geometrical non-linearity. Part II: Proper orthogonal decomposition J. Sound Vib. 262, 907–919 (2003) 13. Pasala, D.T.R., Sarlis, A.A., Nagarajaiah, S., Reinhorn, A.M., Constantinou, M.C., Taylor, D.: Adaptive negative stiffness: new structural modification approach for seismic protection. J. Struct. Eng. 139(7), 1112–1123 (2013) Dr. Kalil Erazo is a research professor at the Instituto Tecnológico de Santo Domingo (INTEC). His research is centered in the development and application of robust probabilistic methods for monitoring and identification of nonlinear structural and mechanical systems.
RkJQdWJsaXNoZXIy MTMzNzEzMQ==