Reliability-based design optimization of adaptive sliding base isolation system for improving seismic performance of structures

Abstract The reliability-based design optimization (RBDO) of base-isolated structures by means of the state-of-the-art methods has been confronted with the high computational cost because the base isolation system often exhibits intrinsic nonlinearities and has to be modelled using a number of parameters in practice. In this regard, the present study aims at developing an efficient scheme for the RBDO of base isolation systems by integrating the probability density evolution method (for global reliability solution) and the variance-based sensitivity analysis (for design parameter reduction).To attain an adaptive seismic mitigation, the newly developed sliding implant-magnetic bearings are employed for constituting the base isolation system. It is shown that although the deployment of sliding implant-magnetic bearings allows a safer structure, the base isolation system still suffers from an unexpected failure probability of deflection under the rarely-occurring earthquake. As a result, the design optimization for strengthening the reliability of the base isolation system needs to be carried out. For identification of the critical design parameters to be optimized, the variance-based sensitivity analysis is performed, showing that the parameters of the exponential function that represents the Coulomb sliding friction associated with the sliding implant-magnetic bearing are mostly of concern. Furthermore, the RBDO of the base isolation system is carried out by employing the genetic algorithm. It is revealed that the global reliability of the base-isolated structure after optimization gains a significant improvement compared to that before optimization.

[1]  Saltelli Andrea,et al.  Global Sensitivity Analysis: The Primer , 2008 .

[2]  Mariapia Marchi,et al.  Reliability-based design optimization of reinforced concrete structures with elastomeric isolators , 2017 .

[3]  Qiao-Yun Wu,et al.  Theoretical and Experimental Study on Critical Separation Distance of Adjacent Buildings Based on Seismic Pounding Fragility , 2019 .

[4]  Andrea Dall'Asta,et al.  Seismic risk sensitivity of structures equipped with anti-seismic devices with uncertain properties , 2019 .

[5]  Yongbo Peng,et al.  Sliding implant‐magnetic bearing for adaptive seismic mitigation of base‐isolated structures , 2019, Structural Control and Health Monitoring.

[6]  Chia-Ling Huang A particle-based simplified swarm optimization algorithm for reliability redundancy allocation problems , 2015, Reliab. Eng. Syst. Saf..

[7]  S. H. Crandall First-crossing probabilities of the linear oscillator , 1970 .

[8]  Xiaoshu Zeng,et al.  Serviceability‐based damping optimization of randomly wind‐excited high‐rise buildings , 2017 .

[9]  Jianbing Chen,et al.  A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters , 2016 .

[10]  Yongbo Peng,et al.  A Stochastic Semi-Physical Model of Seismic Ground Motions in Time Domain , 2018, Journal of Earthquake and Tsunami.

[11]  Dario De Domenico,et al.  Adaptive isolation system combining low-friction sliding pendulum bearings and SMA-based gap dampers , 2020 .

[12]  Vincenzo Piluso,et al.  Partial safety factors and overstrength coefficient evaluation for the design of connections equipped with friction dampers , 2019 .

[13]  Blas Galván,et al.  Optimization of constrained multiple-objective reliability problems using evolutionary algorithms , 2006, Reliab. Eng. Syst. Saf..

[14]  Ersin Aydin Optimal damper placement based on base moment in steel building frames , 2012 .

[15]  P. H. Madsen,et al.  An Integral Equation Method for the First-Passage Problem in Random Vibration , 1984 .

[16]  D. V. Likhachev,et al.  Parametric sensitivity analysis as an essential ingredient of spectroscopic ellipsometry data modeling: An application of the Morris screening method , 2019, Journal of Applied Physics.

[17]  Heungseob Kim,et al.  Sequence optimization in reliability problems with a mixed strategy and heterogeneous backup scheme , 2020, Reliab. Eng. Syst. Saf..

[18]  Lawrence F. Shampine,et al.  The MATLAB ODE Suite , 1997, SIAM J. Sci. Comput..

[19]  Yongbo Peng,et al.  Performance evaluation of base‐isolated structures with sliding hydromagnetic bearings , 2018, Structural Control and Health Monitoring.

[20]  Leandro Fleck Fadel Miguel,et al.  A second order SAP algorithm for risk and reliability based design optimization , 2019, Reliab. Eng. Syst. Saf..

[21]  Yan-Gang Zhao,et al.  Moment methods for structural reliability , 2001 .

[22]  Jianbing Chen,et al.  The equivalent extreme-value event and evaluation of the structural system reliability , 2007 .

[23]  Jianbing Chen,et al.  The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters , 2007 .

[24]  Zhenzhou Lu,et al.  An efficient method for moment-independent global sensitivity analysis by dimensional reduction technique and principle of maximum entropy , 2019, Reliab. Eng. Syst. Saf..

[25]  James L. Beck,et al.  Structural protection using MR dampers with clipped robust reliability-based control , 2007 .

[26]  Xin Chen,et al.  Efficient method for variance-based sensitivity analysis , 2019, Reliab. Eng. Syst. Saf..

[27]  Jianbing Chen,et al.  Stochastic Dynamics of Structures , 2009 .

[28]  Roger Ghanem,et al.  Generalized optimal control policy for stochastic optimal control of structures , 2013 .

[29]  J. Beck,et al.  Estimation of Small Failure Probabilities in High Dimensions by Subset Simulation , 2001 .

[30]  A. Saltelli,et al.  Importance measures in global sensitivity analysis of nonlinear models , 1996 .

[31]  Henri P. Gavin,et al.  Reliability of base isolation for the protection of critical equipment from earthquake hazards , 2005 .

[32]  Roberto Villaverde,et al.  Base isolation with sliding hydromagnetic bearings: concept and feasibility study , 2017 .

[33]  Tong Zhou,et al.  An efficient reliability method combining adaptive global metamodel and probability density evolution method , 2019, Mechanical Systems and Signal Processing.

[34]  James L. Beck,et al.  Reliability‐based control optimization for active base isolation systems , 2006 .

[35]  Tong Zhou,et al.  Structural reliability analysis via dimension reduction, adaptive sampling, and Monte Carlo simulation , 2020, Structural and Multidisciplinary Optimization.

[36]  Subrata Chakraborty,et al.  Robust optimum design of base isolation system in seismic vibration control of structures under random system parameters , 2015 .

[37]  James T. P. Yao,et al.  CONCEPT OF STRUCTURAL CONTROL , 1972 .

[38]  Roberto Villaverde,et al.  Experimental Study of Sliding Hydromagnetic Isolators for Seismic Protection , 2019, Journal of Structural Engineering.

[39]  Tong Zhou,et al.  Adaptive Bayesian quadrature based statistical moments estimation for structural reliability analysis , 2020, Reliab. Eng. Syst. Saf..

[40]  Yongbo Peng,et al.  Simulation of multivariate stationary stochastic processes using dimension-reduction representation methods , 2018 .

[41]  Zhenzhou Lu,et al.  Variable importance analysis: A comprehensive review , 2015, Reliab. Eng. Syst. Saf..

[42]  Ding Wang,et al.  Physical random function model of ground motions for engineering purposes , 2011 .

[43]  Chang-Hee Won,et al.  Reliability-based measures of structural control robustness , 1994 .

[44]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[45]  B. F. Spencer,et al.  Reliability of uncertain linear and nonlinear systems , 1988 .

[46]  James L. Beck,et al.  Reliability-Based Performance Objectives and Probabilistic Robustness in Structural Control Applications , 2008 .

[47]  Jeong-Hoi Koo,et al.  Seismic Performance Analysis of A Smart Base-isolation System Considering Dynamics of MR Elastomers , 2011 .

[48]  Emanuele Borgonovo,et al.  A new uncertainty importance measure , 2007, Reliab. Eng. Syst. Saf..

[49]  Yongbo Peng,et al.  Cluster Analysis of Earthquake Ground-Motion Records and Characteristic Period of Seismic Response Spectrum , 2020 .

[50]  Jie Li,et al.  Stochastic Optimal Control of Structures , 2019 .

[51]  Bijan Kumar Roy,et al.  Reliability-based-design-optimization of base isolated buildings considering stochastic system parameters subjected to random earthquakes , 2013 .

[52]  Michael C. Constantinou,et al.  Assessment of Performance of Seismic Isolation System of Bolu Viaduct , 2003 .