Seismic design method for multi-story SMA braced frames based on inelastic displacement ratio

Abstract Superelastic shape memory alloys (SMAs) can recover large inelastic deformation meanwhile dissipating energy under loading reversals. This property makes them an attractive alternative for developing structures with desirable self-centering (SC) capability. For SMA braced frames (SMABFs), which have not been codified in current seismic provisions, their deformation demand under earthquakes needs to be estimated with confidence in the phase of seismic design, retrofit or upgrade. In this work, the inelastic displacement ratio, i.e. CR, is explored to address current issue. The fundamental behavior of SMABFs is understood by analyzing the equivalent single-degree-of-freedom (SDOF) systems, with the purpose of evaluating and discussing the influence of fundamental period (T), strength reduction ratio (R) and hysteretic parameters of systems (including the secondary stiffness ratio α and the hysteresis width β) on CR. The regression of CR is further conducted to be a function of T, R, α, and β. Subsequently, a CR-based seismic design procedure is developed for multi-story SMABFs. Two frame structures of 3 and 6 stories are utilized to verify the proposed design procedure. The seismic analysis results indicate that the mean responses of designed structures agree well with prescribed performance targets. Although SMABFs are focused in this study, the proposed method could also shed light on the other types of SC structures.

[1]  Subhash C. Goel,et al.  A Seismic Design Lateral Force Distribution Based on Inelastic State of Structures , 2007 .

[2]  Songye Zhu,et al.  Seismic Analysis of Concentrically Braced Frame Systems with Self-Centering Friction Damping Braces , 2008 .

[3]  Hyunhoon Choi,et al.  Residual Drift Response of SMRFs and BRB Frames in Steel Buildings Designed according to ASCE 7-05 , 2011 .

[4]  Reginald DesRoches,et al.  CYCLIC PROPERTIES OF SUPERELASTIC SHAPE MEMORY ALLOY WIRES AND BARS , 2004 .

[5]  Zhongxian Li,et al.  Seismic performance of bridge with unbonded posttensioned self-centering segmented concrete-filled steel-tube columns: An underwater shaking table test , 2020 .

[6]  Songye Zhu,et al.  Shake table test and numerical study of self‐centering steel frame with SMA braces , 2017 .

[7]  Y. Song,et al.  Self-centering cable brace with friction devices for enhancing seismic performance of RC frame structures , 2020 .

[8]  Eduardo Miranda,et al.  Inelastic displacement ratios for evaluation of existing structures , 2003 .

[9]  Robert Tremblay,et al.  Design and Testing of an Enhanced-Elongation Telescoping Self-Centering Energy-Dissipative Brace , 2015 .

[10]  Brendon A. Bradley,et al.  A critical examination of seismic response uncertainty analysis in earthquake engineering , 2013 .

[11]  A. Veletsos,et al.  Effect of Inelastic Behavior on the Response of Simple Systems to Earthquake Motions , 1975 .

[12]  Wei Wang,et al.  Self-Centering Beam-to-Column Connections with Combined Superelastic SMA Bolts and Steel Angles , 2017 .

[13]  K. Ishida,et al.  Ferrous Polycrystalline Shape-Memory Alloy Showing Huge Superelasticity , 2010, Science.

[14]  Sutanu Bhowmick,et al.  Ferrous SMA (FNCATB) based Superelastic Friction Bearing Isolator (S-FBI) subjected to pulse type ground motions , 2017 .

[15]  Cheng Chen,et al.  Energy-Based Seismic Design Methodology of SMABFs Using Hysteretic Energy Spectrum , 2020 .

[16]  L. Wiebe,et al.  Design-level estimation of seismic displacements for self-centering SDOF systems on stiff soil , 2018, Engineering Structures.

[17]  Canxing Qiu,et al.  Characterization of cyclic properties of superelastic monocrystalline Cu–Al–Be SMA wires for seismic applications , 2014 .

[18]  Tong Guo,et al.  Seismic response of self-centering prestressed concrete moment resisting frames with web friction devices , 2015 .

[19]  Xiaowei Fan,et al.  Seismic design and behavior of self-centering energy dissipation braced steel frame , 2020, Bulletin of Earthquake Engineering.

[20]  K. Tsai,et al.  Optimization Approach to Uniformly Distributed Peak Interstory Drifts along Building Heights , 2019, Journal of Structural Engineering.

[21]  Richard Sause,et al.  Posttensioned Seismic-Resistant Connections for Steel Frames , 2001 .

[22]  Hetao Hou,et al.  Seismic performance of Concentrically Braced Frames with non-buckling braces: A comparative study , 2018 .

[23]  Faramarz Khoshnoudian,et al.  Effects of inertial soil–structure interaction on inelastic displacement ratios of SDOF oscillators subjected to pulse-like ground motions , 2015, Bulletin of Earthquake Engineering.

[24]  Tong Guo,et al.  Seismic Resilience Upgrade of RC Frame Building Using Self-Centering Concrete Walls with Distributed Friction Devices , 2017 .

[25]  Osman E. Ozbulut,et al.  Influence of shape memory alloy brace design parameters on seismic performance of self‐centering steel frame buildings , 2019, Structural Control and Health Monitoring.

[26]  Songye Zhu,et al.  Performance-based seismic design of self-centering steel frames with SMA-based braces , 2017 .

[27]  Jingbo Liu,et al.  Constant ductility inelastic displacement ratios for the design of self-centering structures with flag-shaped model subjected to pulse-type ground motions , 2020, Soil Dynamics and Earthquake Engineering.

[28]  Md Arman Chowdhury,et al.  Improving the seismic performance of post-tensioned self-centering connections using SMA angles or end plates with SMA bolts , 2019, Smart Materials and Structures.

[29]  Zhong-Xian Li,et al.  Cyclic behavior and failure mechanism of self‐centering energy dissipation braces with pre‐pressed combination disc springs , 2017 .

[30]  Ying Zhou,et al.  Experimental study and parameter analysis on the seismic performance of self-centering hybrid reinforced concrete shear walls , 2019, Soil Dynamics and Earthquake Engineering.

[31]  Minjuan He,et al.  Seismic design and performance evaluation of self-centering timber moment resisting frames , 2019, Soil Dynamics and Earthquake Engineering.

[32]  G. Francesco.  Constant‐ductility inelastic displacement ratios for displacement‐based seismic design of self‐centering structures , 2019 .

[33]  Canxing Qiu,et al.  High-mode effects on seismic performance of multi-story self-centering braced steel frames , 2016 .

[34]  Abdolreza S. Moghadam,et al.  Inelastic displacement ratios of fully self-centering controlled rocking systems subjected to near-source pulse-like ground motions , 2016 .

[35]  S. M. Zahrai,et al.  Seismic performance of simple steel frames with buckling-restrained knee braces & SMA to reduce residual displacement , 2020 .

[36]  Reginald DesRoches,et al.  SHAPE MEMORY ALLOYS IN SEISMIC RESISTANT DESIGN AND RETROFIT: A CRITICAL REVIEW OF THEIR POTENTIAL AND LIMITATIONS , 2004 .

[37]  Shuang Li,et al.  Nonlinear displacement ratio for seismic design of self-centering buckling-restrained braced steel frame considering trilinear hysteresis behavior , 2018 .

[38]  Reginald DesRoches,et al.  Sensitivity of Seismic Applications to Different Shape Memory Alloy Models , 2008 .

[39]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[40]  Anil K. Chopra,et al.  Dynamics of Structures: Theory and Applications to Earthquake Engineering , 1995 .

[41]  Matthew R. Eatherton,et al.  Development and experimental validation of a nickel–titanium shape memory alloy self-centering buckling-restrained brace , 2012 .

[42]  Hao Wu,et al.  Input energy spectra for self-centering SDOF systems , 2019, Soil Dynamics and Earthquake Engineering.

[43]  A. Chopra,et al.  Inelastic Deformation Ratios for Design and Evaluation of Structures: Single-Degree-of- Freedom Bilinear Systems , 2004 .

[44]  Stefan Hurlebaus,et al.  Seismic assessment of bridge structures isolated by a shape memory alloy/rubber-based isolation system , 2010 .

[45]  M. Shahria Alam,et al.  Superelastic shape memory alloy flag-shaped hysteresis model with sliding response from residual deformation: Experimental and numerical study , 2019, Journal of Intelligent Material Systems and Structures.

[46]  Andre Filiatrault,et al.  Seismic response of self‐centring hysteretic SDOF systems , 2002 .

[47]  Robert Tremblay,et al.  Self-Centering Energy Dissipative Bracing System for the Seismic Resistance of Structures: Development and Validation , 2008 .

[48]  Anas Salem Issa,et al.  Comparative seismic fragility assessment of buckling restrained and self-centering (friction spring and SMA) braced frames , 2020 .

[49]  Eduardo Miranda,et al.  Evaluation of site-dependent inelastic seismic design spectra , 1993 .

[50]  Donatello Cardone,et al.  Implementation and testing of passive control devices based on shape memory alloys , 2000 .

[51]  Anas Salem Issa,et al.  Experimental and numerical study on the seismic performance of a self-centering bracing system using closed-loop dynamic (CLD) testing , 2019, Engineering Structures.