Seismic analysis and strengthening design of a masonry monument by a rigid body spring model: The “Maniace Castle” of Syracuse

Abstract The seismic analysis of a large monument subjected to strong earthquakes is the object of the present paper. As a case study, the response of the “Maniace Castle” of Syracuse has been investigated by a multi-level approach which adopts traditional finite element modelling as well as a specific mechanistic computational model for the final non-linear seismic analyses. At first, the linear behaviour of the monument was studied by means of two 3D FE models in order to understand the global response of the building, its points of weakness, and the kinematics of the corresponding collapse mechanisms. Then, these results were used to calibrate a mechanistic 2D plane rigid body and spring model, RBSM, specifically formulated with the aim of approximating the macroscopic behaviour of masonry walls with reduced degrees of freedom, and taking into account the influence of the masonry texture and energy dissipation capacity of the material. Given the uncertainties and the variability of the material characteristics, an extensive parametric non-linear static analysis and the dynamic analyses, with artificial and natural accelerograms, were made in accord with the EC8 seismic code, and compared together. These results were then used to formulate and verify a simple proposal for the restoration design.

[1]  F. Sabetta,et al.  Estimation of response spectra and simulation of nonstationary earthquake ground motions , 1996, Bulletin of the Seismological Society of America.

[2]  Siro Casolo,et al.  Rigid element model for in‐plane dynamics of masonry walls considering hysteretic behaviour and damage , 2007 .

[3]  Gian Michele Calvi,et al.  In‐plane seismic response of brick masonry walls , 1997 .

[4]  P. Franchetti,et al.  Static and dynamic analyses of "Maniace Castle" in Siracusa-Sicily , 2001 .

[5]  José V. Lemos,et al.  Discrete Element Modeling of Masonry Structures , 2007 .

[6]  Peter Fajfar,et al.  A Nonlinear Analysis Method for Performance-Based Seismic Design , 2000 .

[7]  Sachchidanand Sinha,et al.  Cyclic Behavior of Brick Masonry Under Biaxial Compression , 1991 .

[8]  Martin Ostoja-Starzewski,et al.  Lattice models in micromechanics , 2002 .

[9]  Tadahiko Kawai,et al.  New discrete models and their application to seismic response analysis of structures , 1978 .

[10]  Siro Casolo,et al.  Models for Vulnerability Analysis of Monuments and Strengthening Criteria , 1999 .

[11]  S. Casolo Macroscale modelling of microstructure damage evolution by a rigid body and spring model , 2009 .

[12]  S.-Y. Chen,et al.  A macroelement for the nonlinear analysis of in-plane unreinforced masonry piers , 2008 .

[13]  C. Uang,et al.  Evaluation of seismic energy in structures , 1990 .

[14]  Siro Casolo,et al.  Macroscopic modelling of structured materials: Relationship between orthotropic Cosserat continuum and rigid elements , 2006 .

[15]  Bernard Amadei,et al.  Response of Masonry Bed Joints in Direct Shear , 1989 .

[16]  Eser Durukal,et al.  Strong Ground Motion , 2004 .

[17]  Siro Casolo,et al.  Modelling in-plane micro-structure of masonry walls by rigid elements , 2004 .

[18]  Giuseppe Oliveto Innovative Approaches to Earthquake Engineering , 2002 .

[19]  D. V. Griffiths,et al.  Modelling of elastic continua using a grillage of structural elements based on discrete element concepts , 2001 .

[20]  Peter Fajfar,et al.  Capacity spectrum method based on inelastic demand spectra , 1999 .

[21]  Paulo B. Lourenço,et al.  Computations on historic masonry structures , 2002 .