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Published at November 8

Fast Stochastic Subspace Identification of Densely Instrumented Bridges Using Randomized SVD

cs.CE

Released Date: November 8, 2024

Authors: Elisa Tomassini¹, Enrique García-Macías², Filippo Ubertini¹

Aff.: ¹Department of Civil and Environmental Engineering, University of Perugia; ²Department of Structural Mechanics and Hydraulic Engineering, University of Granada

Arxiv: http://arxiv.org/abs/2411.05510v1

Mode	Frequencies [Hz]					Damping ratios [%]					Mode shapes
Mode	$f_{\textrm{SVD}}$	$f_{\textrm{RSVD}}$	$f_{\textrm{3D}}$	$\Delta_{f,\textrm{RSVD}}$	$\Delta_{f,\textrm{3D}}$	$\xi_{\textrm{SVD}}$	$\xi_{\textrm{RSVD}}$	$\xi_{\textrm{3D}}$	$\Delta_{\xi,\textrm{RSVD}}$	$\Delta_{\xi,\textrm{3D}}$	MAC ${}_{\textrm{RSVD}}$	MAC ${}_{\textrm{3D}}$
1	5.312	5.312	5.313	0.003	0.020	1.465	1.472	1.480	0.499	1.053	1.000	1.000
2	15.856	15.856	15.858	7.9E-05	0.009	0.677	0.677	0.673	0.012	0.485	1.000	1.000
3	26.002	26.002	26.002	1.5E-04	0.001	0.707	0.707	0.696	0.051	1.517	1.000	1.000
4	35.589	35.589	35.590	2.8E-05	0.003	1.021	1.020	1.022	0.038	0.151	1.000	1.000
5	44.438	44.438	44.438	7.1E-05	9.3E-05	1.131	1.131	1.130	0.001	0.140	1.000	1.000
6	52.121	52.121	52.121	9.3E-04	9.7E-04	1.393	1.392	1.393	0.037	0.030	1.000	1.000
7	58.724	58.723	58.724	3.4E-04	0.001	1.679	1.680	1.677	0.008	0.148	1.000	1.000
8	64.116	64.115	64.131	4.6E-04	0.025	1.621	1.621	1.653	0.036	1.943	1.000	1.000
9	68.112	68.113	68.105	0.002	0.011	1.661	1.662	1.651	0.077	0.590	1.000	1.000
10	70.415	70.415	70.411	9.9E-05	0.005	1.813	1.814	1.783	0.064	1.623	1.000	1.000