Poster Recent Advances on Optimization, Toulouse (France) July 24-26 2013
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Geometric survey Recent Advances on Optimization, Toulouse, July 24-26 2013 On the numerical solution of constrained eigenvalue problems in structural engineering Margherita Porcelli Istituto di Scienza e Tecnologie dell’Informazione “A. Faedo” – CNR Vincenzo Binante, Maria Girardi, Cristina Padovani, Giuseppe Pasquinelli Istituto di Scienza e Tecnologie dell’Informazione “A. Faedo” – CNR Daniele Pellegrini Dipartimento di Ingegneria Civile e Ambientale - UNIFI Finite element mesh Modal analysis Visualization of results N O S A I T A C A N O S A I T A C A SPARSEKIT A tool for sparse matrix computations Saad, 1990 ARPACK Implicity restarted Lanczos method Lehoucq, Sorensen, 1998 Mat-vec products Storage Mat-vec products Eigensolver ICFS An incomplete Cholesky factorization with limited memory Lin, Moré, 1999 PCG Form the condensed problem Solve the sdp eigenvalue problem Case study: the “Voltone”, Piazza della Repubblica, Livorno, Italy The “Voltone” is a large underground vaulted masonry structure (thick 0,43 meters) located beneath Piazza della Repubblica in Livorno, Italy; it extends for a total length of 220 meters and is constituted by two longitudinal walls (thick 2,32 meters) with variable height, on which the vault is placed. The aim of the research is the application of the NOSA-ITACA code to this real case for assessing its static safety and seismic vulnerability; in particular, the modal analysis is used for a preliminary study on the dynamic response of the structure, as recommended by the Italian Technical Regulations. The structure’s geometry was obtained by a 3D digital survey. The finite element mesh is constituted by 43084 thick shell elements and by 45379 nodes. The modal frequencies calculated by NOSA-ITACA mainly involve the vaulted structure, which is much more slender than the lateral walls. The activity is carried-out within the project “Tools for the modelling and assessment of the structural behaviour of ancient construction: the NOSA-ITACA code”, funded by Region of Tuscany, 2011-2013. www.nosaitaca.it 3D digital acquisition Mechanical characterization of materials FE mesh K Zoom K Z T KZ
Transcript of Poster Recent Advances on Optimization, Toulouse (France) July 24-26 2013
Geometric survey
Recent Advances on Optimization, Toulouse, July 24-26 2013
On the numerical solution of constrained eigenvalue problems in structural engineering
Margherita Porcelli Istituto di Scienza e Tecnologie dell’Informazione “A. Faedo” – CNR
Vincenzo Binante, Maria Girardi, Cristina Padovani, Giuseppe Pasquinelli Istituto di Scienza e Tecnologie dell’Informazione “A. Faedo” – CNR
Daniele Pellegrini Dipartimento di Ingegneria Civile e Ambientale - UNIFI
Finite element mesh
Modal analysis
Visualization of results
N O S A I T A C A
N O S A I T A C A
SPARSEKIT A tool for sparse
matrix computations Saad, 1990
ARPACK Implicity restarted Lanczos method
Lehoucq, Sorensen, 1998
Mat-vec products
Storage
Mat
-vec
pr
oduc
ts
Eigensolver
ICFS An incomplete
Cholesky factorization with limited memory Lin, Moré, 1999
PCG
Form the condensed
problem
Solve the sdp eigenvalue
problem
Case study: the “Voltone”, Piazza della Repubblica, Livorno, Italy The “Voltone” is a large underground vaulted masonry structure (thick 0,43 meters) located beneath Piazza della Repubblica in Livorno, Italy; it extends for a total length of 220 meters and is constituted by two longitudinal walls (thick 2,32 meters) with variable height, on which the vault is placed. The aim of the research is the application of the NOSA-ITACA code to this real case for assessing its static safety and seismic vulnerability; in particular, the modal analysis is used for a preliminary study on the dynamic response of the structure, as recommended by the Italian Technical Regulations. The structure’s geometry was obtained by a 3D digital survey. The finite element mesh is constituted by 43084 thick shell elements and by 45379 nodes. The modal frequencies calculated by NOSA-ITACA mainly involve the vaulted structure, which is much more slender than the lateral walls. The activity is carried-out within the project “Tools for the modelling and assessment of the structural behaviour of ancient construction: the NOSA-ITACA code”, funded by Region of Tuscany, 2011-2013. www.nosaitaca.it
3D digital acquisition Mechanical
characterization of materials
FE mesh
K Zoom K
ZTKZ
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