1 Introduction
2 Vehicle–bridge interaction model
2.1 Vehicle–track model
2.2 Bridge model
Element | Area (m2) | Torsional Inertia (m4) | Inertia in plane (m4) | Inertia out of plane (m4) | Material density (kg/m3) |
---|---|---|---|---|---|
Girder | 10.82 | 27.4 | 9.78 | 68.48 | 2948 |
Pier | 16.76 | 40.6 | 17.3 | 34.64 | 2702 |
2.3 Displacement-based derailment criterion
3 The decoupled method of VBI system under earthquakes
3.1 Steps of the decoupled method
3.2 Feasibility of lateral excitation model in the decoupling method
3.3 Verification of decoupling method for VBI model
4 Frequency and mode of railway vehicles
5 Seismic responses of vehicle on bridges at different frequencies
6 Intensity measures
6.1 Ground motion records
No. | Earthquake event | Recording station | Magnitude |
---|---|---|---|
1 | Northridge | Beverly Hills-14145 Mulhol | 6.7 |
2 | Northridge | Canyon Country-W Lost Cany | 6.7 |
3 | Duzce, Turkey | Bolu | 7.1 |
4 | Hector Mine | Hector | 7.1 |
5 | Imperial Valley | Delta | 6.5 |
6 | Imperial Valley | El Centro Array #11 | 6.5 |
7 | Kobe, Japan | Nishi-Akashi | 6.9 |
8 | Kobe, Japan | Shin-Osaka | 6.9 |
9 | Kocaeli, Turkey | Duzce | 7.5 |
10 | Kocaeli, Turkey | Arcelik | 7.5 |
11 | Landers | Yermo Fire Station | 7.3 |
12 | Landers | Coolwater | 7.3 |
13 | Loma Prieta | Capitola | 6.9 |
14 | Loma Prieta | Gilroy Array #3 | 6.9 |
15 | Manjil, Iran | Abbar | 7.4 |
16 | Superstition Hills | El Centro Imp. Co. Cent | 6.5 |
17 | Superstition Hills | Poe Road (temp) | 6.5 |
18 | Cape Mendocino | Rio Dell Overpass-FF | 7.0 |
19 | Chi-Chi, Taiwan | CHY101 | 7.6 |
20 | Chi-Chi, Taiwan | TCU045 | 7.6 |
21 | San Fernando | LA Hollywood Stor FF | 6.6 |
22 | Friuli, Italy | Tolmezzo | 6.5 |
6.2 Candidate intensity measures
Category | IM | Formula |
---|---|---|
IMs determined by time history of ground motion | Peak ground acceleration | \(PGA = \max \left| {a(t)} \right|\) |
Peak ground velocity | \(PGV = \max \left| {v(t)} \right|\) | |
Peak ground displacement | \(PGD = \max \left| {d(t)} \right|\) | |
IMs determined by response spectra of ground motion | Peak pseudo-acceleration spectrum | \(PSA = \max (S_{\text a} (\xi ,T))\) |
Peak pseudo-velocity spectrum | \(PSV = \max (S_{\text v} (\xi ,T))\) | |
Peak displacement spectrum | \(PSD = \max (S_{\text d} (\xi ,T))\) | |
Spectra intensity | \(SI = \int_{0.1}^{2.5} {S_{\text v} (\xi ,T)} {\text{d}}T\) | |
Acceleration spectra intensity | \(ASI = \int_{0.1}^{2.5} {S_{\text a} (\xi ,T)} {\text{d}}T\) |
Category | IMs of ground motion | IMs of bridge deck motion |
---|---|---|
IMs determined by time history of motions | PGA | PDA |
PGV | PDV | |
PGD | PDD | |
IMs determined by response spectra of motions | PSAg | PSA |
PSVg | PSV | |
PSDg | PSD | |
SIg | SI | |
ASIg | ASI |