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Seismic vulnerability analysis of existing buildings requires basicinformation on their structural behaviour. The ambient vibrations of buildingsand the modal parameters (frequencies, damping ration and modal shapes) thatcan be extracted from them naturally include the geometry and quality ofmaterial in the linear elastic part of their behaviour. The aim of this work isto use this modal information to help the vulnerability assessment. A lineardynamic modal model based on experimental modal parameters is proposed and thefragility curve corresponding to the damage state ?Slight? is built using thismodel and a simple formula is proposed. This curve is particularly interestingin moderate seismic areas. This methodology is applied to the Grenoble Citywhere ambient vibrations have been recorded in 61 buildings of various typesand to the Pointe-\`a-Pitre City with 7 study-buildings. The fragility curvesare developed using the aforementioned methodology. The seismic risk of thestudy-buildings is discussed by performing seismic scenarios.

Seismic vulnerability analysis of moderate seismicity areas using in  situ experimental techniques: from the building to the city scale ?  Application to Grenoble and Pointe-\`a-Pitre (France)