Research Article
Fundamental Frequencies of Vibration of Footbridges in Portugal: From In Situ Measurements to Numerical Modelling
Table 1
Geometric characterization and first in situ transverse, longitudinal, and vertical frequencies.
| |
Name |
Place |
Constr.
year |
Height
(m) |
Width
(m) |
Deck
development |
Deck
cross section |
Largest
span
(m) |
Right
stair
position |
Left
stair
position | Frequencies | -transv.
(Hz) | -long
(Hz) | -Vert.
(Hz) |
| | Steel Box-Girders | | | | | | | | | | | | | | Relógio_Gago_Coutinho | Lisbon | 1995 | 6.6 | 1.7 | slight curve | trapezoidal | 37 | L | L | 1.86 | 3.42 | 2.29 | | Entreposto Olivais | Lisbon | 2000 | 8.0 | 1.8 | slight curve | trapezoidal | 39 | T | T | 2.44 | 3.22 | 3.25 | | CP_Gago Coutinho | Lisbon | 1998 | 8.3 | 2.2 | | trapezoidal | 28 | T | T | 2.15 | 2.16 | 3.42 | | Relógio_Gomes Costa_West | Lisbon | 2000 | 8.0 | 2.0 | slight curve | trapezoidal | 42 | T | T | 2.70 | 3.71 | 3.12 | | Av. Padre Cruz | Lisbon | 2000 | 7.7 | 2.0 | | trapezoidal | 37 | TL | TL | 2.25 | 5.08 | 3.42 | | Acesso 25 Abril Alvito | Lisbon | 2000 | 8.0 | 2.0 | large curve | trapezoidal | 37 | N | N | 3.90 | 3.90 | 5.60 | | Belém (Café) | Lisbon | 2001 | 6.7 | 1.7 | large curve | trapezoidal | 43 | L | L | 3.42 | 5.20 | 5.05 | | 2a Circular East Colegio Alemao* | Lisbon | 2000 | 5.2 | 2.0 | slight curve | trapezoidal | 26 | T | T | 6.70 | 2.54 | 3.52 | | Termas S. Pedro Sul | S. Pedro Sul | 1997 | 2.6 | 2.0 | | trapezoidal | 53 | L | RC | 2.90 | 2.00 | 2.25 | | 2a Circular Colegio Alemao | Lisbon | 2000 | 5.0 | 2.0 | slight curve | rectangular | 41 | T | L | 1.95 | 3.67 | 2.25 | | Belém FIL Café-Bar | Lisbon | 2001 | 6.3 | 2.0 | | rectangular | 14 | TL | T | 2.93 | 7.70 | 9.30 | | Churrasqueira Campo Grande | Lisbon | 2000 | 5.0 | 2.0 | | rectangular | 20 | L | L | 6.93 | 2.54 | 3.52 | | Av. Ceuta South | Lisbon | 2002 | 5.3 | 2.1 | | rectangular | 32 | T | T | 1.76 | 3.80 | 1.76 | | Faro_Calouste Gulbenkian | Faro | 2003 | 3.5 | 2.0 | | rectangular | 29 | T | T | 3.70 | 3.40 | 2.00 | | Lagos-Nova CML | Lagos | 2004 | 4.6 | 2.0 | | rectangular | 16 | T | T | 3.65 | 3.65 | 7.10 | | Steel Truss I + I | | | | | | | | | | | | | | Teatro Camões Parque Nações | Lisbon | 2010 | 7.0 | 2.5 | | I + I | 21 | L | L | 6.80 | 4.30 | 4.30 | | Coimbra 1A | Coimbra | 2004 | 5.5 | 2.0 | | I + I | 21 | L | L | 2.00 | 5.00 | 5.20 | | Coimbra 1B | Coimbra | 2004 | 5.5 | 2.0 | | I + I | 28 | L | L | 2.00 | 5.00 | 4.08 | | Coimbra 2A | Coimbra | 2004 | 4.5 | 2.0 | | I + I | 17 | L | T | 3.36 | 11.00 | 9.60 | | Pupilos Exercito South | Lisbon | 1999 | 10.0 | 1.7 | | I + slab | 38 | T | T | 1.17 | 1.86 | 3.03 | | Braga NE | Braga | 2002 | 5.0 | 2.0 | | truss 2D | 25 | T | T | 4.79 | 2.64 | 4.77 | | Av Gomes Costa (East) | Lisbon | 2002 | 5.6 | 2.8 | | truss 2D | 30 | T | T | 2.73 | 2.73 | 3.42 | | Rego | Lisbon | 1999 | 6.3 | 2.4 | | truss 2D | 46 | Truss | Truss | 1.95 | 1.95 | 3.81 | | Conde Almoster over railway | Lisbon | 2001 | 8.0 | 3.0 | n/straight | truss 2D | 50 | T | T | 2.25 | 2.93 | 2.93 | | IP3-Lameira | Coimbra | 2000 | 5.6 | 2.0 | | truss 2D | 21 | L | L | 2.26 | 3.87 | 2.66 | | Universidade Covilhã | Covilhã | 2010 | 6.0 | 1.4 | | truss 2D | 20 | T | N | 2.07 | | 2.07 | | IP3-CEPSA_Aguieira | Coimbra | 2000 | 5.8 | 2.0 | | truss 2D | 22 | T | T | 5.03 | 3.22 | 7.72 | | A1-Antuã | A1 km 260 | 1995 | 4.3 | 2.5 | | truss 2D | 42 | RC | RC | 2.73 | 2.91 | 4.98 | | Bela Vista-Feira Nova | Lisbon | 2008 | 12.0 | 2.5 | | truss 3D | 48 | N | N | 2.20 | 3.00 | 5.60 | | Massamá | Salg Maia | | 4.7 | 2.5 | | truss 3D | 26 | L | L | 5.40 | 5.40 | 6.54 | | EN-125_Chinicato | Lagos | 2001 | 5.0 | 2.0 | | tubular | 20 | T | T | 3.20 | 3.20 | 7.40 | | Pinhão-Douro | Pinhão | 2011 | 6 | 3.3 | light curve | tubular | 51 | N | N | 3.16 | 4.24 | 3.16 | | Exit Camacha | Madeira | 2002 | 4.0 | 2.0 | | triangle | 28 | N | N | 2.44 | | 1.86 | | Aeroporto | Madeira | 2002 | 4.0 | 2.0 | | triangle | 19 | T | T | 3.71 | 4.32 | 2.50 | | São Gonçalo | Madeira | 2002 | 4.0 | 2.0 | | triangle | 28 | N | N | 3.32 | 2.64 | 1.86 | | Conde Almoster | Lisbon | 2001 | 8.0 | 2.0 | | triangle | 22 | T | T | 5.40 | 4.70 | 4.20 | | Reinforced Concrete | | | | | | | | | | | | | | Alfredo Bensaude (West) | Lisbon | 1997 | 5.0 | 2.1 | | I + slab + I | 30 | T | T | 4.32 | 2.93 | 2.88 | | Alfredo Bensaude (East) | Lisbon | 1997 | 5.0 | 2.1 | | I + slab + I | 30 | T | T | 3.91 | 2.05 | 2.73 | | Av. EUA_Chelas East | Lisbon | 2000 | 9.0 | 2.5 | | I + slab + I | 25 | TL | T | 2.91 | 1.70 | 4.00 | | Vale Formoso (Chelas) | Lisbon | 2000 | 7.2 | 2.5 | | I + slab + I | 28 | T | T | 1.76 | 2.00 | 3.81 | | Figueira_Foz_Lidl | Figueira Foz | 2002 | 6.0 | 2.5 | | I + slab + I | 19 | T | T | 5.57 | 3.42 | 6.45 | | Lusófona (Campo Grande)* | Lisbon | 2001 | 6.0 | 2.0 | | I + slab + I | 26 | T | T | 3.73 | 2.77 | 3.79 | | EN-125_Faro_Mercedes | Faro | 2003 | 6.3 | 1.5 | | I + slab + I | 29 | T | T | 1.90 | 2.90 | 1.90 | | Gambelas Rotunda Aeroporto | Faro | 2005 | 5.8 | 1.8 | | I + slab + I | 38 | T | T | 2.06 | 2.51 | 2.30 | | EN-125 Faro-Metalo-Farense | Faro | 2005 | 6.0 | 1.8 | | I + slab + I | 32 | T | T | 1.80 | 2.20 | 3.10 | | EN-125 Faro-Patacao (center)* | Faro | 2005 | 5.0 | 2.0 | | I + slab + I | 22 | TL | TL | 2.60 | 2.60 | 3.58 | | EN-125 Faro-Patacao (N part) | Faro | 2005 | 5.0 | 2.0 | | I + slab + I | 13 | TL | TL | 2.60 | 2.35 | 10.70 | | EN-125 Faro-Patacao (S part) | Faro | 2005 | 5.0 | 2.0 | | I + slab + I | 11 | TL | TL | 2.60 | 2.50 | 13.50 | | EN-125 Faro-Paga Pouco | Faro | 2005 | 5.0 | 2.0 | | I + slab + I | 22 | T | T | 3.55 | 2.25 | 5.05 | | EN-125 Faro-Coord Seguros Eng | Faro | 2005 | 5.0 | 1.5 | | I + slab + I | 23 | T | T | 4.10 | 2.15 | 3.50 | | Pupilos Exercito North | Lisbon | 1999 | 10.0 | 1.7 | | I + slab | 31 | T | T | 1.37 | 1.86 | 4.49 | | Conde Almoster | Lisbon | 2001 | 7.0 | 2.0 | n/straight | triangle | 22 | RC | RC | 5.40 | 4.70 | 4.20 | | Reinforced Concrete | | | | | | | | | | | | | | IP25-Aveiro | Aveiro | 1999 | 4.0 | 2.0 | large curve | trapezoidal | 36 | L | L | 1.24 | 1.44 | 2.57 | | EN-125_Exit Aeroporto (Ibis) | Faro | 2003 | 5.0 | 2.0 | | U | 37 | T | T | 2.10 | 1.65 | 1.90 | | Circular Praia da Rocha | Portimão | 1970 | 5.0 | 2.0 | | U | 21 | L | L | 6.90 | 5.10 | 6.90 | | Entreposto Escola_Herc_Carvalho | Lisbon | 2001 | 5.7 | 2.3 | | T + T | 20 | T | T | 1.60 | 3.12 | 3.50 | | Amadora Cacém | Amadora | 1995 | 6.0 | 4.0 | | rectangular | 22 | T | T | 6.30 | 6.20 | 3.71 | | IC-19 Queluz | N117 | 2001 | 6.0 | 2.0 | | U | 31 | T | T | 2.52 | 2.40 | 2.76 | | IC-19 Estaçao Massamá-Barcarena | Exit 7 | 2001 | 6.0 | 2.0 | | U/V | 32 | L | T | 2.52 | 4.12 | 3.13 | | IC-19 Cacém West Cemitério) | Exit 9 | 2001 | 6.0 | 2.2 | | U/V | 41 | T | T | 2.52 | 1.84 | 2.32 | | IC-19 Cacém Leste | Exit 9 | 2001 | 6.0 | 2.4 | | U/V | 46 | T | T | 2.07 | 1.80 | 2.12 | | IC-19 Cacém Leste Gasolina BP | Exit 8 | 2001 | 6.0 | 2.0 | | U/V | 39 | T | T | 2.76 | 2.34 | 2.58 | | Guimarães | S-Exit A7 | 2001 | 6.0 | 2.0 | | U/V | 25 | T | T | 3.00 | 2.12 | 3.76 | | Steel variable cross-section | | | | | | | | | | | | | | SMPC_Av Calouste Gulbenkian | Lisbon | 2010 | 8.6 | 4.0 | | trapezoidal | 38 | N | N | 7.30 | 2.80 | 3.86 | | Olaias-Bela Vista | Lisbon | 2011 | 15.0 | 4.0 | | I + I | 56 | N | N | 2.16 | 3.04 | 1.90 | | Other Types | | | | | | | | | | | | | | Parque Nações near Vodafone | Lisbon | 2010 | 7.0 | 2.5 | | Timber U | 25 | L | L | 5.80 | | 5.80 | | Green park_Benavente | Benavente | 2007 | 3.0 | 2.5 | | Steel ribbon | 48 | N | N | 1.12 | 1.76 | 2.36 | | FEUP Campus* [1] | Oporto | 2001 | 5.0 | 2.8 | | RC ribbon | 32 | N | N | 2.15 | 2.54 | 0.81 | | CC Vasco Gama North* | Lisbon | 1998 | 8.0 | 2.4 | | Steel arch | 75 | N | N | 1.83 | | 0.94 | | CC Vasco Gama South | Lisbon | 1998 | 8.0 | 2.4 | | Steel arch | 75 | N | N | 1.70 | | 0.88 | | Guarda near railway station* [2] | Guarda | 2007 | 7.0 | 2.0 | | Steel bow-string | 90 | N | N | 0.63 | | 2.33 | | Microsoft Porto Salvo | Oeiras | 2001 | 6.0 | 2.0 | | Steel bow-string | 25 | T | L | 3.22 | 5.66 | 3.22 | | Infante D. Henrique | Lisbon | 1978 | 5.6 | 2.5 | | Fiber-glass | 30 | L | L | 2.70 | 8.00 | 5.37 | | Av. Marech Gomes Costa (East) | Lisbon | 1978 | 5.6 | 2.5 | | Fiber-glass | 32 | T | T | 4.00 | 3.90 | 5.37 | | Ribeira Carpinteira | Covilhã | 2009 | 39.0 | 4.4 | S-shape | Steel [+] 2D | 49 | N | N | 1.36 | 2.11 | 2.47 | | Pedro e Inês* [3] | Coimbra | 2006 | 10.0 | 4.0 | n/straight | S + RC arch-girder | 110 | N | N | 0.91 | | 1.95 | | Movable cable-stayed—Open* [4] | Viana Castelo | 2007 | 8.0 | 2.5 | | Steel cantilever | 36 | N | N | 0.98 | | 1.03 | | Movable cable-stayed—Closed* | Viana Castelo | 2007 | 8.0 | 2.5 | | Steel cantilever | 36 | N | N | 4.09 | | 3.17 | | Circular ribbon* [5] | Aveiro | 2009 | 5.0 | 2.0 | ring | Cable-stayed | ext diameter = 13 | L | N | | | 3.17 |
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Analytical studies; N: no stair; L: longitudinal; T: transversal; TL: oblique; Right: pointing W-N-E-; [.]: reference.
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