Earthquake Stability of Columns and Statues

The seismic vulnerability of statues mounted on monolithic or multidrum columns is presented in this article. Emphasis is given to the procedure that should be followed for the assessment of the stability to future earthquakes, which is presented through the case study of the statue of Apollo at the Academy of Athens. The earthquake of 1999 (MW = 5.9), at a source distance of about 10 km, caused the base of the statue to slide on the column capital and rotate, with no evidence of any damage having been done to the column or to the Academy Building proper. Earthquake damage of monuments of this type is rarely noticed and, even if observed, is not reported in any detail. This particular case, therefore, offered the opportunity to investigate the stability of statues mounted on multi-drum columns, and also to present critical issues related to the assessment of their vulnerability, as the selection of the ground motions that should be used in the analysis, the determination of the parameters of the numerical models and the correct interpretation of the numerical results. Comments on the validity of the various methods currently in use by practicing engineers are also presented.

[1]  J. Douglas,et al.  Equations for the Estimation of Strong Ground Motions from Shallow Crustal Earthquakes Using Data from Europe and the Middle East: Vertical Peak Ground Acceleration and Spectral Acceleration , 2005 .

[2]  Pol D. Spanos,et al.  Rocking of Rigid Blocks Due to Harmonic Shaking , 1984 .

[3]  Antonio Scalia,et al.  DYNAMICS OF RIGID BLOCK DUE TO HORIZONTAL GROUND MOTION , 1998 .

[4]  Ioannis N. Psycharis,et al.  Experimental investigation of the earthquake response of a model of a marble classical column , 2002 .

[5]  Yuji Ishiyama,et al.  Motions of rigid bodies and criteria for overturning by earthquake excitations , 1982 .

[6]  D. Deere,et al.  Frictional Characteristics of Minerals , 1962 .

[7]  I. Psycharis.  Dynamic behaviour of rocking two-block assemblies , 1990 .

[8]  P. Komodromos,et al.  Planar investigation of the seismic response of ancient columns and colonnades with epistyles using a custom-made software , 2009 .

[9]  Fumio Yamazaki,et al.  Response of rigid body assemblies to dynamic excitation , 1995 .

[10]  A. Sinopoli,et al.  Kinematic Approach in the Impact Problem of Rigid Bodies , 1989 .

[11]  J. Douglas,et al.  Equations for the Estimation of Strong Ground Motions from Shallow Crustal Earthquakes Using Data from Europe and the Middle East: Horizontal Peak Ground Acceleration and Spectral Acceleration , 2005 .

[12]  G. Giani.  Rock Slope Stability Analysis , 1992 .

[13]  M. Popescu.  Engineering behaviour of rocks , 1983 .

[14]  P. C. Jennings,et al.  Upthrow of Objects Due to Horizontal Impulse Excitation , 1985 .

[15]  Anil K. Chopra,et al.  Dynamics of Structures on Two‐Spring Foundation Allowed to Uplift , 1984 .

[16]  G. Housner.  The behavior of inverted pendulum structures during earthquakes , 1963 .

[17]  Ioannis N. Psycharis,et al.  Rocking of slender rigid bodies allowed to uplift , 1983 .

[18]  J. Lemos,et al.  Numerical prediction of the earthquake response of classical columns using the distinct element method , 2002 .

[19]  I. Psycharis,et al.  Verification of numerical models used for the analysis of ancient temples , 2009 .

[20]  J. Penzien,et al.  Rocking response of rigid blocks to earthquakes , 1980 .

[21]  W. K. Tso,et al.  Steady state rocking response of rigid blocks part 1: Analysis , 1989 .

[22]  Y. Mabuchi,et al.  Static Shear Friction Tests On The ModelMarble Columns Of The Parthenon For TheAseismic Retrofitting , 1970 .

[23]  Pacific Earthquake,et al.  Rocking Response and Overturning of Equipment under Horizontal Pulse-Type Motions , 1998 .

[24]  Ragnar Sigbjörnsson,et al.  Uncertainty Analysis of Strong-Motion and Seismic Hazard , 2003 .

[25]  Ioannis N. Psycharis,et al.  Numerical investigation of the seismic response of Parthenon, Greece , 2009 .

[26]  I. Oppenheim,et al.  On the dynamic response of rigid body assemblies , 1986 .

[27]  José V. Lemos,et al.  Numerical study of the seismic behaviour of a part of the Parthenon Pronaos , 2003 .

[28]  Stavros Kourkoulis,et al.  Restaurierung antiker Tempel: Experimentelle Untersuchungen zum Ausziehverhalten von Verankerungen im Marmor , 2008 .

[29]  Stavros K. Kourkoulis,et al.  Bending of Fragmented Architraves Restored With Bolted Titanium Bars: a Numerical Analysis , 2008 .

[30]  A. Sinopoli.  Dynamic Analysis of a Stone Column Excited by a Sine Wave Ground Motion , 1991 .

[31]  Pol D. Spanos,et al.  HARMONIC ROCKING OF RIGID BLOCK ON FLEXIBLE FOUNDATION , 1986 .

[32]  James Jackson,et al.  The continuity of active fault systems in Greece , 2001 .

[33]  Nicos Makris,et al.  Seismic response analysis of multidrum classical columns , 2005 .

[34]  E. Rutter.  Experimental Rock Deformation—the Brittle Field , 1979 .

[35]  Harry W. Shenton,et al.  CRITERIA FOR INITIATION OF SLIDE, ROCK, AND SLIDE-RoCK RIGID-BODY MODES , 1996 .

[36]  M. Šilhavý.  The Dynamic Response , 1997 .

[37]  James Jackson,et al.  Faulting associated with historical and recent earthquakes in the Eastern Mediterranean region , 1998 .

[38]  Ioannis N. Psycharis,et al.  Parametric investigation of the stability of classical columns under harmonic and earthquake excitations , 2000 .