Inelastic displacement ratios for design of structures with constant damage performance

Abstract This paper summarizes the comprehensive statistical results of constant damage inelastic displacement ratios which allow the evaluation of maximum inelastic displacement demand for structures with constant damage performance. The inelastic displacement ratios are calculated with modified Park-Ang damage index and inelastic single-degree-of-freedom systems subjected to 573 ground motions. The influences of period of vibration, levels of damage, site conditions, earthquake magnitude, rupture distance, post-yield stiffness, stiffness degradation, strength deterioration, parameter β and ultimate ductility factor μ u in damage index model are evaluated and discussed statistically. It is found that the effect of site conditions is not very significant. Specifically, coefficients of variation are approximately period-independent and site-independent. The degrading systems with short period of vibration would experience larger inelastic displacement than non-degrading systems. The effects of parameter β and ultimate ductility factor μ u are moderate in short period region. A simplified expression is proposed for the application of constant damage inelastic displacement ratios.

[1]  Andreas J. Kappos,et al.  Extension of direct displacement-based design methodology for bridges to account for higher mode effects , 2013 .

[2]  J. S. Hwang,et al.  Direct displacement-based design for building with passive energy dissipation systems , 2003 .

[3]  Anil K. Chopra,et al.  Direct Displacement-Based Design: Use of Inelastic vs. Elastic Design Spectra , 2001 .

[4]  Sashi K. Kunnath,et al.  Analytical Modeling of Inelastic Seismic Response of R/C Structures , 1990 .

[5]  K. Campbell,et al.  NGA Ground Motion Model for the Geometric Mean Horizontal Component of PGA, PGV, PGD and 5% Damped Linear Elastic Response Spectra for Periods Ranging from 0.01 to 10 s , 2008 .

[6]  Phaiboon Panyakapo.  Evaluation of site‐dependent constant‐damage design spectra for reinforced concrete structures , 2004 .

[7]  D. J. Laurie Kennedy,et al.  Displacement-based seismic design of buildings—theory , 2000 .

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

[9]  Joan R. Casas,et al.  A direct displacement-based method for the seismic design of bridges on bi-linear isolation devices , 2006 .

[10]  Peter Fajfar,et al.  Equivalent ductility factors, taking into account low‐cycle fatigue , 1992 .

[11]  Eduardo Miranda,et al.  AMPLIFICATION FACTORS TO ESTIMATE INELASTIC DISPLACEMENT DEMANDS FOR THE DESIGN OF STRUCTURES IN THE NEAR FIELD , 2000 .

[12]  Eduardo Miranda,et al.  Influence of stiffness degradation on strength demands of structures built on soft soil sites , 2002 .

[13]  Lawrence L. Kupper,et al.  Probability, statistics, and decision for civil engineers , 1970 .

[14]  Paolo Negro.  EXPERIMENTAL ASSESSMENT OF THE GLOBAL CYCLIC DAMAGE OF FRAMED R/C STRUCTURES , 1997 .

[15]  Ahmed Y. Elghazouli,et al.  Inelastic displacement demands in steel structures and their relationship with earthquake frequency content parameters , 2012 .

[16]  S. Mahin,et al.  Nonlinear Seismic Response of a Coupled Wall System , 1976 .

[17]  Sameh S. F. Mehanny,et al.  Variability in inelastic displacement demands: Uncertainty in system parameters versus randomness in ground records , 2008 .

[18]  Zhai Changhai,et al.  Study on Inelastic Displacement Ratio Spectra for Near-fault Pulse-type Ground Motions , 2007 .

[19]  Pennung Warnitchai,et al.  CONSTANT-DAMAGE DESIGN SPECTRA , 1999 .

[20]  E. Miranda,et al.  Inelastic Displacement Ratios for Design of Structures on Soft Soils Sites , 2004 .

[21]  Vinay K. Gupta,et al.  Scaling of ductility and damage-based strength reduction factors for horizontal motions , 2000 .

[22]  A. Wada,et al.  SEISMIC DRIFT OF REINFORCED CONCRETE STRUCTURES , 1993 .

[23]  A S Veletsos,et al.  Deformation Spectra for Elastic and Elastoplastic Systems Subjected to Ground Shock and Earthquake Motions , 1965 .

[24]  David M. Boore,et al.  Peak horizontal acceleration and velocity from strong motion records including records from the 1979 Imperial Valley, California, earthquake , 1981 .

[25]  E. Miranda.  INELASTIC DISPLACEMENT RATIOS FOR STRUCTURES ON FIRM SITES , 2000 .

[26]  George D. Hatzigeorgiou,et al.  Inelastic displacement ratios for SDOF structures subjected to repeated earthquakes , 2009 .

[27]  A. Ang,et al.  Seismic Damage Analysis of Reinforced Concrete Buildings , 1985 .

[28]  Iunio Iervolino,et al.  Inelastic displacement ratio of near‐source pulse‐like ground motions , 2012 .

[29]  Y. K. Wen,et al.  Damage-Limiting Aseismic Design of Buildings , 1987 .

[30]  E. Miranda,et al.  Inelastic displacement ratios for evaluation of structures built on soft soil sites , 2006 .

[31]  Qiang Xue,et al.  Performance-based seismic design of structures: a direct displacement-based approach , 2003 .

[32]  Yong Lu,et al.  Damage-based inelastic response spectra for seismic design incorporating performance considerations , 2008 .

[33]  J. P. Moehle,et al.  Displacement-Based Design of RC Structures Subjected to Earthquakes , 1992 .

[34]  Changhai Zhai,et al.  Damage spectra for the mainshock–aftershock sequence-type ground motions , 2013 .

[35]  M. S. Medhekar,et al.  Displacement-based seismic design of buildings-application , 2000 .

[36]  E. Miranda.  Estimation of Inelastic Deformation Demands of SDOF Systems , 2001 .

[37]  John W. Wallace,et al.  Displacement-Based Design of Slender Reinforced Concrete Structural Walls—Experimental Verification , 2004 .

[38]  Andrew S. Whittaker,et al.  Displacement estimates for performance-based seismic design , 1998 .

[39]  Gaetano Manfredi,et al.  Damage indices and damage measures , 2000 .

[40]  A. Ang,et al.  Mechanistic Seismic Damage Model for Reinforced Concrete , 1985 .

[41]  F. Mollaioli,et al.  Role of Damage Functions in Evaluation of Response Modification Factors , 2004 .

[42]  Gaetano Manfredi,et al.  The use of damage functionals in earthquake engineering: A comparison between different methods , 1993 .

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

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

[45]  Douglas M. Bates,et al.  Nonlinear Regression Analysis and Its Applications , 1988 .

[46]  Qiang Xue,et al.  Preliminary detailing for displacement-based seismic design of buildings , 2006 .

[47]  Xie Lili,et al.  Effects of Hanging Wall and Forward Directivity in the 1999 Chi-Chi Earthquake on Inelastic Displacement Response of Structures , 2007 .

[48]  Eduardo Miranda,et al.  Evaluation of approximate methods to estimate maximum inelastic displacement demands , 2002 .