Research Article
Dynamic Responses of Simply Supported Girder Bridges to Moving Vehicular Loads Based on Mathematical Methods
Table 11
Various analyses of numerical simulations considering interaction.
(a) Dynamic load allowance (DLA) of the bridge |
| Factor | | dof | Initial | Modification | | | | | | |
| | 0.0411 | 1 | 0.0411 | 26.04 | 0.05 | 0.0411 | 68.61 | 0.01 | | 0.0160 | 1 | 0.0160 | 10.12 | 0.10 | 0.0160 | 26.66 | 0.01 | | 0.0003 | 1 | 0.0003 | 0.21 | >0.25 | — | — | — | | 0.3257 | 1 | 0.3257 | 206.42 | 0.01 | 0.3257 | 543.94 | 0.01 | | 0.0030 | 1 | 0.0030 | 1.90 | >0.25 | 0.0030 | 5.00 | 0.10 | | 0.0006 | 1 | 0.0006 | 0.36 | >0.25 | — | — | — | | 0.0003 | 1 | 0.0003 | 0.21 | >0.25 | — | — | — | | 0.0018 | 1 | 0.0018 | 1.11 | >0.25 | 0.0018 | 2.92 | 0.25 | | 0.0003 | 1 | 0.0003 | 0.17 | >0.25 | — | — | — | | 0.0000 | 1 | 0.0000 | 0.01 | >0.25 | — | — | — | | 0.0001 | 1 | 0.0001 | 0.08 | >0.25 | — | — | — | | 0.0014 | 1 | 0.0014 | 0.90 | >0.25 | 0.0014 | 2.38 | 0.25 | | 0.0493 | 1 | 0.0493 | 31.26 | 0.05 | 0.0493 | 82.37 | 0.01 | Error | 0.0032 | 2 | 0.0016 | | | 0.0006 | | |
| Sum | 0.4431 | 15 | | | | | | |
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(b) Vibration acceleration of the bridge () |
| Factor | | dof | Initial | Modification | | | | | | |
| | 0.1977 | 1 | 0.1977 | 32528.26 | 0.01 | 0.1977 | 36136.85 | 0.01 | | 0.0545 | 1 | 0.0545 | 8967.12 | 0.01 | 0.0545 | 9961.91 | 0.01 | | 0.0007 | 1 | 0.0007 | 107.79 | 0.01 | 0.0007 | 119.75 | 0.01 | | 1.4716 | 1 | 1.4716 | 242142.36 | 0.01 | 1.4716 | 269004.93 | 0.01 | | 0.0111 | 1 | 0.0111 | 1828.29 | 0.01 | 0.0111 | 2031.12 | 0.01 | | 0.0004 | 1 | 0.0004 | 65.65 | 0.01 | 0.0004 | 72.93 | 0.01 | | 0.0013 | 1 | 0.0013 | 207.47 | 0.01 | 0.0013 | 230.48 | 0.01 | | 0.0007 | 1 | 0.0007 | 119.36 | 0.01 | 0.0007 | 132.61 | 0.01 | | 0.0000 | 1 | 0.0000 | 1.10 | >0.25 | — | — | — | | 0.0000 | 1 | 0.0000 | 0.50 | >0.25 | — | — | — | | 0.0052 | 1 | 0.0052 | 848.12 | 0.01 | 0.0052 | 942.20 | 0.01 | | 0.0008 | 1 | 0.0008 | 129.02 | 0.01 | 0.0008 | 143.34 | 0.01 | | 0.0389 | 1 | 0.0389 | 6404.66 | 0.01 | 0.0389 | 7115.17 | 0.01 | Error | 0.0000 | 2 | 0.0000 | | | 0.0000 | | |
| Sum | 1.7828 | 15 | | | | | | |
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(c) Vibration acceleration of the vehicle () |
| Factor | | dof | Initial | Modification | | | | | | |
| | 1.6400 | 1 | 1.6400 | 14.80 | 0.10 | 1.6400 | 51.80 | 0.01 | | 0.4914 | 1 | 0.4914 | 4.44 | 0.25 | 0.4914 | 15.52 | 0.01 | | 0.0062 | 1 | 0.0062 | 0.06 | >0.25 | — | — | — | | 1.1866 | 1 | 1.1866 | 10.71 | 0.10 | 1.1866 | 37.48 | 0.01 | | 0.0159 | 1 | 0.0159 | 0.14 | >0.25 | — | — | — | | 0.1175 | 1 | 0.1175 | 1.06 | >0.25 | 0.1175 | 3.71 | 0.10 | | 0.0094 | 1 | 0.0094 | 0.08 | >0.25 | — | — | — | | 0.0099 | 1 | 0.0099 | 0.09 | >0.25 | — | — | — | | 0.0034 | 1 | 0.0034 | 0.03 | >0.25 | — | — | — | | 0.0003 | 1 | 0.0003 | 0.00 | >0.25 | — | — | — | | 0.0498 | 1 | 0.0498 | 0.45 | >0.25 | 0.0498 | 1.57 | 0.25 | | 0.0182 | 1 | 0.0182 | 0.16 | >0.25 | — | — | — | | 1.6199 | 1 | 1.6199 | 14.62 | 0.10 | 1.6199 | 51.17 | 0.01 | Error | 0.2216 | 2 | 0.1108 | | | 0.0317 | | |
| Sum | 5.3900 | 15 | | | | | | |
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