- A Macroseismic Method for the Vulnerability Assessment of Buildings
- S. Giovinazzi ; S Lagomarsino
- Book Title / Journal: Proceedings of the 13th World Conference on Earthquake Engineering Vancouver, B.C., Canada
- Year: 2004 , Volume: , Series:
- Earthquake engineering
- Keywords: Vulnerability assessment ; buildings ; macroseismic method
- Description
- A seismic risk analysis addressed to earthquake emergency management and protection strategies planning, requires territorial scale evaluation; to this aim a macroseismic method for the vulnerability assessment of built-up area is presented. The method is derived, in a conceptually rigorous way, by the use of Probability and of Fuzzy Set Theory, considering Macroseismic Scale definitions. Damage Probability Matrices are evaluated for the six vulnerability classes considered by the EMS98 scale; vulnerability
curves are drawn for these classes and for different building typologies. An analytical equation, interpolating the curves, is introduced as a function of an only one parameter the Vulnerability Index; it correlates the seismic input, in term of Macroseismic Intensity, with the physical damage, summarized by the mean value of the beta distribution. An average Vulnerability Index is associated to each building
typology, which may be refined on the basis of a seismic behavior modifier factor, and of a regional factor. A different uncertainty is associated with the vulnerability assessment and the consequent damage evaluation depending on the quantity and quality of data available for the analysis. By the use of statistical correlations, consequences scenarios (collapse, unfit for use buildings, deaths and injuries, homeless) and physical losses can be estimated.
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- The Vulnerability Assessment of Current Buildings by a Macroseismic Approach Derived from the EMS-98 Scale
- A. Bernardini ; S Giovinazzi ; S. Lagomarsino ; S- Parodi
- Book Title / Journal: 3rd International Congress of Seismic Engineering, Asociación Española de Ingeniería Sísmica, Girona, Spain
- Year: 2007 , Volume: , Series:
- Earthquake engineering
- Keywords: Vulnerability assessment ; Damage scenario
- Description
- A hierarchical family of Damage Probability Matrices (DPM) has been derived in this paper from the ones implicitly contained in the EMS-98 Macroseismic Scale for 6
vulnerability classes. To this aim the linguistic definitions provided by the scale, and the associated fuzzy sub-sets of the percentage of buildings, have been completed according to reliable hypotheses.
A parametric representation of the corresponding cumulative probability distributions is moreover provided, through a unique parameter: a vulnerability index variable in the range from 0 to 1 and independent of the macroseismic intensity. Finally, an innovative macroseismic approach allowing the vulnerability analysis of building typologies is defined within the European Macroseismic Scale (EMS-98) and qualitatively related to the vulnerability classes. Bayes’ theorem allows the upgrading of the frequencies when further data about the built-environment or specific properties of the buildings are available, allowing
the identification of a different behaviours with respect to the one generally considered for the typology. Fuzzy measures of any damage function can be derived, using parametric or nonparametric damage probability matrices. For every result of the seismic analysis, the procedure allows supply to the user of the final uncertainty connected with the aforementioned fuzzy relation between the probability of the damage grade, the macroseismic intensity and the vulnerability classes.
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