Research Article
Dynamic Responses of Continuous Girder Bridges with Uniform Cross-Section under Moving Vehicular Loads
Table 15
Various analysis of numerical simulation with interaction.
| (a) Dynamic load allowance in the side span () |
| | Factor | | dof | Initial | Modification | | | | | | |
| | A | 0.2348 | 1 | 0.2348 | 25.47 | 0.25 | 0.2348 | 24.58 | 0.01 | | D | 0.0077 | 1 | 0.0077 | 0.83 | >0.25 | 0.0077 | 0.80 | >0.25 | | A × D | 0.0028 | 1 | 0.0028 | 0.30 | >0.25 | 0.0028 | 0.29 | >0.25 | | B | 0.0011 | 1 | 0.0011 | 0.12 | >0.25 | 0.0011 | 0.11 | >0.25 | | A × B | 0.0001 | 1 | 0.0001 | 0.01 | >0.25 | — | — | | | D × B | 0.0001 | 1 | 0.0001 | 0.01 | >0.25 | — | — | | | E | 0.0029 | 1 | 0.0029 | 0.32 | >0.25 | 0.0029 | 0.31 | >0.25 | | C | 0.0001 | 1 | 0.0001 | 0.01 | >0.25 | — | — | | | A × C | 0.0001 | 1 | 0.0001 | 0.01 | >0.25 | — | — | | | D × C | 0.0036 | 1 | 0.0036 | 0.39 | >0.25 | 0.0036 | 0.37 | >0.25 | | H | 0.0045 | 1 | 0.0045 | 0.49 | >0.25 | 0.0045 | 0.47 | >0.25 | | B × C | 0.0506 | 1 | 0.0506 | 5.49 | >0.25 | 0.0506 | 5.30 | 0.10 | | I | 0.0675 | 1 | 0.0675 | 7.33 | 0.25 | 0.0675 | 7.07 | 0.05 | | J | 0.0074 | 1 | 0.0074 | 0.80 | >0.25 | 0.0074 | 0.78 | >0.25 | | Error | 0.0092 | 1 | 0.0092 | | | 0.0095 | | | | Sum | 0.3924 | 15 | | | | | | |
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| (b) Dynamic load allowance in the middle span () |
| | Factor | | dof | Initial | Modification | | | | | | |
| | A | 0.8551 | 1 | 0.8551 | 5.63 | >0.25 | 0.8551 | 4.44 | 0.10 | | D | 0.5659 | 1 | 0.5659 | 3.72 | >0.25 | 0.5659 | 2.94 | 0.15 | | A × D | 0.0991 | 1 | 0.0991 | 0.65 | >0.25 | 0.0991 | 0.51 | >0.25 | | B | 1.3252 | 1 | 1.3252 | 8.72 | 0.25 | 1.3252 | 6.88 | 0.05 | | A × B | 0.2134 | 1 | 0.2134 | 1.40 | >0.25 | 0.2134 | 1.11 | >0.25 | | D × B | 0.3714 | 1 | 0.3714 | 2.44 | >0.25 | 0.3714 | 1.93 | 0.15 | | E | 0.1582 | 1 | 0.1582 | 1.04 | >0.25 | 0.1582 | 0.82 | >0.25 | | C | 0.0017 | 1 | 0.0017 | 0.01 | >0.25 | — | — | | | A × C | 0.0015 | 1 | 0.0015 | 0.01 | >0.25 | — | — | | | D × C | 0.0057 | 1 | 0.0057 | 0.04 | >0.25 | — | — | | | H | 0.1941 | 1 | 0.1941 | 1.28 | >0.25 | 0.1941 | 1.01 | >0.25 | | B × C | 0.0179 | 1 | 0.0179 | 0.12 | >0.25 | — | — | | | I | 0.0138 | 1 | 0.0138 | 0.09 | >0.25 | — | — | | | J | 0.0395 | 1 | 0.0395 | 0.26 | >0.25 | 0.0395 | 0.21 | >0.25 | | Error | 0.1520 | 1 | 0.1520 | | | 0.1926 | | | | Sum | 4.0147 | 15 | | | | | | |
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| (c) Vibration acceleration in the side span () |
| | Factor | | dof | Initial | Modification | | | | | | |
| | A | 0.0363 | 1 | 0.0363 | 59.14 | >0.25 | 0.0363 | 0.67 | 0.10 | | D | 0.0052 | 1 | 0.0052 | 8.46 | >0.25 | 0.0052 | 0.10 | 0.15 | | A × D | 0.0018 | 1 | 0.0018 | 3.01 | >0.25 | 0.0018 | 0.03 | >0.25 | | B | 0.0027 | 1 | 0.0027 | 4.32 | 0.25 | 0.0027 | 0.05 | 0.05 | | A × B | 0.0015 | 1 | 0.0015 | 2.39 | >0.25 | 0.0015 | 0.03 | >0.25 | | D × B | 0.0003 | 1 | 0.0003 | 0.45 | >0.25 | 0.0003 | 0.01 | 0.15 | | E | 0.0021 | 1 | 0.0021 | 3.44 | >0.25 | 0.0021 | 0.04 | >0.25 | | C | 0.0045 | 1 | 0.0045 | 7.36 | >0.25 | — | — | | | A × C | 0.0011 | 1 | 0.0011 | 1.77 | >0.25 | — | — | | | D × C | 0.0013 | 1 | 0.0013 | 2.12 | >0.25 | — | — | | | H | 0.0003 | 1 | 0.0003 | 0.42 | >0.25 | 0.0003 | 0.00 | >0.25 | | B × C | 0.0423 | 1 | 0.0423 | 68.95 | >0.25 | — | — | | | I | 0.0043 | 1 | 0.0043 | 7.01 | >0.25 | — | — | | | J | 0.0027 | 1 | 0.0027 | 4.43 | >0.25 | 0.0027 | 0.05 | >0.25 | | Error | 0.0006 | 1 | 0.0006 | | | 0.0541 | | | | Sum | 0.1069 | 15 | | | | | | |
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| (d) Vibration acceleration in the middle span () |
| | Factor | | dof | Initial | Modification | | | | | | |
| | A | 0.0745 | 1 | 0.0745 | 178.69 | 0.05 | 0.0745 | 27.12 | 0.01 | | D | 0.0035 | 1 | 0.0035 | 8.29 | 0.25 | 0.0035 | 1.26 | >0.25 | | A × D | 0.0022 | 1 | 0.0022 | 5.35 | >0.25 | 0.0022 | 0.81 | >0.25 | | B | 0.0518 | 1 | 0.0518 | 124.28 | 0.10 | 0.0518 | 18.86 | 0.01 | | A × B | 0.0141 | 1 | 0.0141 | 33.75 | 0.25 | 0.0141 | 5.12 | 0.10 | | D × B | 0.0027 | 1 | 0.0027 | 6.58 | 0.25 | 0.0027 | 1.00 | >0.25 | | E | 0.0006 | 1 | 0.0006 | 1.38 | >0.25 | — | — | | | C | 0.0001 | 1 | 0.0001 | 0.25 | >0.25 | — | — | | | A × C | 0.0003 | 1 | 0.0003 | 0.66 | >0.25 | — | — | | | D × C | 0.0002 | 1 | 0.0002 | 0.59 | >0.25 | — | — | | | H | 0.0037 | 1 | 0.0037 | 8.81 | 0.25 | 0.0037 | 1.34 | >0.25 | | B × C | 0.0067 | 1 | 0.0067 | 16.00 | 0.25 | 0.0067 | 2.43 | 0.25 | | I | 0.0064 | 1 | 0.0064 | 15.36 | 0.25 | 0.0064 | 2.33 | 0.25 | | J | 0.0011 | 1 | 0.0011 | 2.71 | >0.25 | — | — | | | Error | 0.0004 | 1 | 0.0004 | | | 0.0027 | | | | Sum | 0.1683 | 15 | | | | | | |
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| (e) Vibration acceleration of the vehicle body () |
| | Factor | | dof | Initial | Modification | | | | | | |
| | A | 9.0320 | 1 | 9.0320 | 436.16 | 0.05 | 9.0320 | 323.17 | 0.01 | | D | 0.0016 | 1 | 0.0016 | 0.08 | >0.25 | — | — | | | A × D | 0.0039 | 1 | 0.0039 | 0.19 | >0.25 | — | — | | | B | 0.2298 | 1 | 0.2298 | 11.10 | 0.25 | 0.2298 | 8.22 | 0.05 | | A × B | 0.0180 | 1 | 0.0180 | 0.87 | >0.25 | 0.0180 | 0.65 | >0.25 | | D × B | 0.0423 | 1 | 0.0423 | 2.04 | >0.25 | 0.0423 | 1.51 | >0.25 | | E | 0.0005 | 1 | 0.0005 | 0.02 | >0.25 | — | — | | | C | 0.0001 | 1 | 0.0001 | 0.00 | >0.25 | — | — | | | A × C | 0.0011 | 1 | 0.0011 | 0.06 | >0.25 | — | — | | | D × C | 0.0842 | 1 | 0.0842 | 4.06 | >0.25 | 0.0842 | 3.01 | 0.25 | | H | 0.2321 | 1 | 0.2321 | 11.21 | 0.25 | 0.2321 | 8.31 | 0.05 | | B × C | 0.0041 | 1 | 0.0041 | 0.20 | >0.25 | 0.0041 | 0.15 | >0.25 | | I | 0.3842 | 1 | 0.3842 | 18.55 | 0.25 | 0.3842 | 13.75 | 0.01 | | J | 0.0312 | 1 | 0.0312 | 1.50 | >0.25 | 0.0312 | 1.11 | >0.25 | | Error | 0.0207 | 1 | 0.0207 | | | 0.0279 | | | | Sum | 10.0859 | 15 | | | | | | |
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