Research Article

Seismic Vulnerability Assessment of a Historical Church: Limit Analysis and Nonlinear Finite Element Analysis

Table 1

Linear dynamic analysis: frequencies of the main mode shapes of the St. Maria del Borgo Church (bell tower modes are not reported in the present table).

Mode no. Frequency Mass participation (%) Mode description
(Hz) Transversal Longitudinal

4 3.656 6.79 0.16 Transversal bending of nave walls, vault support in phase
5 4.111 14.32 0.02 Transversal bending of nave walls, vaults support in phase opposition
6 5.121 0.78 4.90 Transversal bending of nave walls, vaults support in phase opposition, small longitudinal bending of the façade
7 5.334 0.10 31.04 Longitudinal bending of the façade and apse area
10 6.182 3.71 0.01 Transversal bending of nave and peripheral lateral walls, dome predominant
12 6.328 8.88 0.02 Transversal bending of lateral chapel walls
14 7.182 4.45 0.03 Transversal bending of nave and peripheral lateral walls, in-plane bending of façade and triumphal arc
20 8.189 3.33 0.38 Transversal bending of nave, peripheral lateral walls, apse and bell tower
22 8.546 0.01 3.91 Longitudinal bending of façade upper parts, small torsional behavior
27 9.270 0.12 5.19 Longitudinal bending of the façade, dome and peripheral lateral walls in phase opposition