Inelastic seismic demand of low-rise buildings with soil-flexibility

Abstract Relying on the ductile behaviour of structures during earthquake, building codes introduce response reduction factors ( R ) to reduce design forces in earthquake resistant design. However, applicability of such factors has not been systematically explored for low-rise buildings with stiff periods. Present study is an attempt to address this issue. Both elasto-plastic and degrading hysteresis behaviour for lateral load-resisting structural elements are considered herein, while sub-soil is idealized as linear and elasto-plastic in parallel. The study recognizes that inelastic response for short period systems is very sensitive to R and may be phenomenally amplified even for small R due to soil–structure interaction implying restrictive applicability of dual-design philosophy. Limited study on the plan-asymmetric low-rise buildings depicts that inelastic response of the asymmetric structure relative to its symmetric counterpart is not appreciably influenced due to soil–structure interaction (SSI). The study also confirms that equivalent single story model characterized by the lowest period rather than the fundamental one of the real system tends to yield conservative estimation of inelastic demand at least for the short-period systems.

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

[2]  George Gazetas,et al.  Analysis of machine foundation vibrations: state of the art , 1983 .

[3]  F. E. Richart,et al.  DYNAMIC RESPONSE OF FOOTINGS TO VERTICAL LOADING , 1966 .

[4]  Ryoji Iwasaki,et al.  ON DYNAMIC SHEAR MODULI AND POISSON'S RATIOS OF SOIL DEPOSITS , 1973 .

[5]  Rakesh K. Goel Seismic Response of Asymmetric Systems: Energy-Based Approach , 1997 .

[6]  Anil K. Chopra,et al.  Earthquake response analysis of multistorey buildings including foundation interaction , 1974 .

[7]  Akira Mita,et al.  Dynamic response of a square foundation embedded in an elastic half-space , 1989 .

[8]  M. Nuray Aydınoğlu Consistent formulation of direct and substructure methods in nonlinear soil-structure interaction , 1993 .

[9]  John P. Wolf,et al.  Some cornerstones of dynamic soil-structure interaction , 2002 .

[10]  George Gazetas,et al.  Horizontal Stiffness of Arbitrarily Shaped Embedded Foundations , 1987 .

[11]  J. E. Luco,et al.  Tables of impedance functions for square foundations on layered media , 1985 .

[12]  S. C. Dutta,et al.  Seismic torsional vibration in elevated tanks , 2000 .

[13]  J. W. Meek,et al.  Dynamic behaviour of building‐foundation systems , 1974 .

[14]  Jose M. Roesset,et al.  DYNAMIC STIFFNESSES OF SURFACE FOUNDATIONS: AN EXPLICIT SOLUTION , 2004 .

[15]  J. Wolf Soil-structure-interaction analysis in time domain , 1988 .

[16]  W. J. Hall,et al.  Structural and Geotechnical Mechanics , 1978 .

[17]  Sekhar Chandra Dutta Effect of strength deterioration on inelastic seismic torsional behaviour of asymmetric RC buildings , 2001 .

[18]  Anil K. Chopra,et al.  Torsional Coupling and Earthquake Response of Simple Elastic and Inelastic Systems , 1981 .

[19]  Sekhar Chandra Dutta,et al.  Validity and Applicability of Two Simple Hysteresis Models to Assess Progressive Seismic Damage in R/c Asymmetric Buildings , 2002 .

[20]  Jacobo Bielak,et al.  Dynamic behaviour of structures with embedded foundations , 1974 .

[21]  S. C. Dutta,et al.  Response of low-rise buildings under seismic ground excitation incorporating soil-structure interaction , 2004 .

[22]  J. W. Meek,et al.  CONE MODELS FOR EMBEDDED FOUNDATION , 1994 .

[23]  Sekhar Chandra Dutta,et al.  Seismic Design Aids for Buildings Incorporating Soil-flexibility Effect , 2006 .

[24]  W. K. Tso,et al.  Seismic torsional provisions for dynamic eccentricity , 1980 .

[25]  S. C. Dutta,et al.  Effect of soil-flexibility on dynamic behaviour of building frames on raft foundation , 2004 .

[26]  G. Gazetas FORMULAS AND CHARTS FOR IMPEDANCES OF SURFACE AND EMBEDDED FOUNDATIONS , 1991 .

[27]  R. Dobry,et al.  Effect of Soil Plasticity on Cyclic Response , 1991 .

[28]  J. Avilés,et al.  Evaluation of interaction effects on the system period and the system damping due to foundation embedment and layer depth , 1996 .

[29]  Sekhar Chandra Dutta,et al.  Seismic Behavior of Code-Designed Bidirectionally Eccentric Systems , 2005 .

[30]  Joseph E. Bowles,et al.  Foundation analysis and design , 1968 .

[31]  E. Rosenblueth The 1985 earthquake : Causes and effects in Mexico City , 1986 .

[32]  Wen-Hwa Wu,et al.  Efficient modal analysis for structures with soil‐structure interaction , 1995 .

[33]  Kenneth H. Stokoe,et al.  Closure of "Dynamic Response of Arbitrarily Shaped Foundations: Experimental Verification" , 1986 .

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

[35]  Wen-Hwa Wu,et al.  Equivalent fixed-base models for soil-structure interaction systems , 1997 .

[36]  Roberto Meli,et al.  The 1985 Mexico Earthquake , 1986 .

[37]  J. Enrique Luco,et al.  Soil-Structure Interaction and Identification of Structural Models , 1980 .

[38]  Sekhar Chandra Dutta,et al.  Effect of Flexibility of Foundations on its Seismic Stress Distribution , 2008 .

[39]  Yukio Tamura,et al.  Damping Evaluation Using Full-Scale Data of Buildings in Japan , 2003 .

[40]  Polat Gülkan,et al.  Developments in Dynamic Soil-Structure Interaction , 1993 .

[41]  H. Shakib,et al.  Evaluation of dynamic eccentricity by considering soil–structure interaction: a proposal for seismic design codes , 2004 .

[42]  B. C. Lin,et al.  Demonstration of Torsional Coupling Caused by Closely Spaced Periods—1984 Morgan Hill Earthquake Response of the Santa Clara County Building , 1989 .

[43]  W. K. Tso,et al.  A strength distribution criterion for minimizing torsional response of asymmetric wall‐type systems , 2002 .

[44]  David J. Dowrick Earthquake resistant design : a manual for engineers and architects , 1977 .

[45]  Adrian M. Chandler Building damage in Mexico City earthquake , 1986, Nature.

[46]  W. K. Tso,et al.  A yield displacement distribution‐based approach for strength assignment to lateral force‐resisting elements having strength dependent stiffness , 2003 .

[47]  A. M. Chandler,et al.  Inelastic seismic response of code‐designed multistorey frame buildings with regular asymmetry , 1993 .

[48]  Anil K. Chopra,et al.  Dual-Level Approach for Seismic Design of Asymmetric-Plan Buildings , 1994 .

[49]  George Gazetas,et al.  FREE-VIBRATION OF EMBEDDED FOUNDATIONS - THEORY VERSUS EXPERIMENT - CLOSURE , 1991 .

[50]  René Tinawi,et al.  Damage to buildings due to the 1989 Loma Prieta earthquake — a Canadian code perspective , 1990 .

[51]  Jacobo Bielak,et al.  Dynamics of building-soil interaction , 1973, Bulletin of the Seismological Society of America.

[52]  W. K. Tso,et al.  STATIC ECCENTRICITY CONCEPT FOR TORSIONAL MOMENT ESTIMATIONS , 1990 .

[53]  O. A. Pekau,et al.  Dynamic response of bilinear asymmetric structures , 1985 .

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

[55]  Anestis S. Veletsos,et al.  Torsional Vibration of Viscoelastic Foundations , 1974 .

[56]  F. T. Kokkinos,et al.  Assessment of Computational Practices in Dynamic Soil‐Structure Interaction , 1989 .

[57]  J. Wolf Dynamic soil-structure interaction , 1985 .

[58]  Anestis S. Veletsos,et al.  LATERAL AND ROCKING VIBRATION OF FOOTINGS , 1971 .

[59]  S. Kramer Geotechnical Earthquake Engineering , 1996 .

[60]  Luis Esteva,et al.  Earthquake engineering research and practice in Mexico after the 1985 earthquakes , 1987 .

[61]  Anestis S. Veletsos,et al.  Seismic Interaction of Structures on Hysteretic Foundations , 1975 .

[62]  R. Sharpe Tentative Provisions for the Development of Seismic Regulations for Buildings , 1994 .

[63]  James J. Johnson,et al.  Soil-Structure Interaction (SSI): Observations, Data, and Correlative Analysis , 1993 .

[64]  Sekhar Chandra Dutta,et al.  Seismic safety of structures: Influence of soil-flexibility, asymmetry and ground motion characteristics , 2007 .

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

[66]  Ricardo Dobry,et al.  Dynamic Response of Arbitrarily Shaped Foundations , 1986 .

[67]  Sekhar Chandra Dutta,et al.  Assessing lateral period of building frames incorporating soil-flexibility , 2004 .

[68]  Vitelmo V. Bertero,et al.  An Evaluation of Inelastic Seismic Design Spectra , 1981 .