Seismic reliability-based design of inelastic base-isolated structures with lead-rubber bearing systems

Abstract In this paper, a seismic reliability-based approach is proposed to design inelastic steel moment frame structures isolated by lead-rubber bearing (LRB) systems. An equivalent two-degree-of-freedom system is assumed in which a bilinear behaviour is assigned to both the superstructure and the base. Furthermore, uncertainties associated with the equivalent superstructure mass, stiffness, and yield properties are taken into account by employing proper probability density functions. The proposed design approach is twofold: 1) Reliability curves that return the key design parameters of the inelastic base-isolated structure including: the period of the superstructure, the target base displacement, and the ductility-dependent strength reduction factor for a given target reliability. 2) Regression equations, which estimate the displacement ductility demand of the inelastic superstructure and the optimal design properties of the lead-rubber bearing system including: the total initial stiffness and the total yield force. These regression equations are calibrated against a large set of optimally-designed base-isolated buildings using Genetic Algorithm.

[1]  Mohamed Ichchou,et al.  Reliability based robust design optimization for tuned mass damper in passive vibration control of deterministic/uncertain structures , 2013 .

[2]  Giuseppe Carlo Marano,et al.  Robust optimization of base isolation devices under uncertain parameters , 2016 .

[3]  Zhao-Dong Xu,et al.  Study of the properties of a multi-dimensional earthquake isolation device for reticulated structures , 2013 .

[4]  R. S. Jangid.  Optimum lead–rubber isolation bearings for near-fault motions , 2007 .

[5]  Bruno Briseghella,et al.  Improved equivalent viscous damping model for base-isolated structures with lead rubber bearings , 2014 .

[6]  Paolo Castaldo,et al.  Seismic reliability of base-isolated structures with friction pendulum bearings , 2015 .

[7]  Michele Barbato,et al.  Probabilistic seismic demand model for pounding risk assessment , 2016 .

[8]  Gordon J. Savage,et al.  Optimal probabilistic design of the dynamic performance of a vibration absorber , 2007 .

[9]  Parham Shoaei,et al.  A combined control strategy using tuned liquid dampers to reduce displacement demands of base-isolated structures: a probabilistic approach , 2019, Frontiers of Structural and Civil Engineering.

[10]  Eduardo Miranda,et al.  Probability-based seismic response analysis , 2005 .

[11]  Giuseppe Mancini,et al.  Seismic reliability-based robustness assessment of three-dimensional reinforced concrete systems equipped with single-concave sliding devices , 2018 .

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

[13]  Steven R. Winterstein,et al.  Probabilistic seismic demand analysis of controlled steel moment‐resisting frame structures , 2002 .

[14]  Terje Haukaas,et al.  Computer Program for Multimodel Reliability and Optimization Analysis , 2013, J. Comput. Civ. Eng..

[15]  Donato Cancellara,et al.  Assessment and dynamic nonlinear analysis of different base isolation systems for a multi-storey RC building irregular in plan , 2017 .

[16]  Enrico Tubaldi,et al.  Influence of ground motion characteristics on the optimal single concave sliding bearing properties for base-isolated structures , 2018 .

[17]  T. Jordan,et al.  OpenSHA: A Developing Community-modeling Environment for Seismic Hazard Analysis , 2003 .

[18]  Armen Der Kiureghian,et al.  Probabilistic Capacity Models and Fragility Estimates for Reinforced Concrete Columns based on Experimental Observations , 2002 .

[19]  W. H. Robinson,et al.  A LEAD-RUBBER SHEAR DAMPER , 1977 .

[20]  Andrew S. Whittaker,et al.  Modeling strength degradation in lead–rubber bearings under earthquake shaking , 2010 .

[21]  Michael C. Constantinou,et al.  Quintuple Friction Pendulum Isolator: Behavior, Modeling, and Validation , 2016 .

[22]  Erik H. Vanmarcke,et al.  Reliability-based evaluation of design and performance of steel self-centering moment frames , 2011 .

[23]  G. Warn,et al.  Stability of Elastomeric and Lead-Rubber Seismic Isolation Bearings , 2012 .

[24]  Subrata Chakraborty,et al.  Performance assessment of buildings isolated by shape‐memory‐alloy rubber bearing: Comparison with elastomeric bearing under near‐fault earthquakes , 2014 .

[25]  R. S. Jangid,et al.  Stochastic response of building frames isolated by lead–rubber bearings , 2010 .

[26]  Paolo Castaldo,et al.  Influence of the strength reduction factor on the seismic reliability of structures with FPS considering intermediate PGA/PGV ratios , 2017 .

[27]  Donatello Cardone,et al.  Inelastic response of RC frame buildings with seismic isolation , 2013 .

[28]  Donato Cancellara,et al.  A base isolation system for structures subject to extreme seismic events characterized by anomalous values of intensity and frequency content , 2016 .

[29]  F. Haight.  Handbook of the Poisson Distribution , 1967 .

[30]  C. Cornell,et al.  Record Selection for Nonlinear Seismic Analysis of Structures , 2005 .

[31]  James M. Kelly,et al.  Aseismic base isolation: review and bibliography , 1986 .

[32]  Christopher R. Houck,et al.  A Genetic Algorithm for Function Optimization: A Matlab Implementation , 2001 .

[33]  Michael C. Constantinou,et al.  Behaviour of the double concave Friction Pendulum bearing , 2006 .

[34]  J. K. Ord,et al.  Handbook of the Poisson Distribution , 1967 .

[35]  Paolo Castaldo,et al.  Optimal design of friction pendulum system properties for isolated structures considering different soil conditions , 2016 .

[36]  Donato Cancellara,et al.  A Novel Seismic Base Isolation System Consisting of a Lead Rubber Bearing in Series with a Friction Slider. Part II: Application to a Multi-Storey RC Building and Comparison with Traditional Systems , 2012 .

[37]  Jun Chen,et al.  Damage-based strength reduction factor for nonlinear structures subjected to sequence-type ground motions , 2017 .

[38]  Faramarz Khoshnoudian,et al.  Seismic Fragility Assessment of Asymmetric Structures Supported on TCFP Bearings Subjected to Near-field Earthquakes , 2018 .

[39]  Robert G. Drysdale,et al.  Testing and modeling of square carbon fiber‐reinforced elastomeric seismic isolators , 2008 .

[40]  Enrico Tubaldi,et al.  Influence of FPS bearing properties on the seismic performance of base‐isolated structures , 2015 .

[41]  Paolo Castaldo,et al.  Seismic fragility and reliability of structures isolated by friction pendulum devices: seismic reliability‐based design (SRBD) , 2017 .

[42]  Donato Cancellara,et al.  A Novel Seismic Base Isolation System Consisting of a Lead Rubber Bearing in Series with a Friction Slider. Part I: Nonlinear Modeling of the System , 2012 .

[43]  Theodore L. Karavasilis,et al.  Seismic structural and non-structural performance evaluation of highly damped self-centering and conventional systems , 2011 .

[44]  M. V. Sivaselvan,et al.  Hysteretic models for deteriorating inelastic structures , 2000 .

[45]  Paolo Castaldo,et al.  Life-cycle cost and seismic reliability analysis of 3D systems equipped with FPS for different isolation degrees , 2016 .

[46]  Paolo Castaldo,et al.  Seismic reliability-based ductility demand evaluation for inelastic base-isolated structures with friction pendulum devices , 2017 .

[47]  Weiqing Liu,et al.  Stochastic Seismic Response and Reliability Analysis of Base-Isolated Structures , 2007 .

[48]  Mustafa Erdik,et al.  A comparative evaluation of design provisions for seismically isolated buildings , 2016 .

[49]  Deepak R. Pant,et al.  Structural performance of a base‐isolated reinforced concrete building subjected to seismic pounding , 2012 .

[50]  Donato Cancellara,et al.  Seismical Protection Properties of High Damping Rubber Bearing and Lead Rubber Bearing Base Isolation Systems for Multi-Storey RC Buildings , 2012 .