Analysis of a vehicle-bridge-earthquake interactive system under multi-support excitations

Μέγεθος: px

Εμφάνιση ξεκινά από τη σελίδα:

Download "Analysis of a vehicle-bridge-earthquake interactive system under multi-support excitations"

Υπάτιος Βάμβας
6 χρόνια πριν
Προβολές:

1 32 1 Vol Journal of Harbin Engineering University Jan 2011 doi /j issn De Roeck Guido B Kalker - U448 A Analysis of a vehicle-bridge-earthquake interactive system under multi-support excitations ZHANG Nan 1 2 XIA He 1 DE ROECK Guido 2 1 School of Civil Engineering Beijing Jiaotong University Beijing China 2 Department of Civil Engineering Catholic U- niversity of Leuven Belgium B-3001 Abstract When a high-speed train crosses a long-span bridge the safety of the train is obviously affected by the occurrence of an earthquake In order to study the dynamic characteristics of a coupled vehicle-bridge system under seismic loads the vehicle subsystem was modeled by the rigid-body dynamics method and the bridge subsystem was modeled by the finite element method The vertical and lateral wheel-rail interactive forces were defined by the corresponding wheel-rail interactive assumption and simplified Kalker creep theory the track irregularities and calculated seismic acceleration histories were regarded as the system exciter The seismic effects were imposed as multisupported excitations to the bridge subsystem by the large-mass method the motion equations were solved by the history integral method and force-motion iterations within time steps The results show that the bridge vibration derailment factors and offloading factors of the vehicle increase markedly with the seismic intensity there is no monotonous variation relationship between vehicle-bridge response and the seismic wave velocity Keywords vehicle-bridge interacted system seismic load multi-supported excitation large-mass method railway cable-stayed bridge train speed threshold BIL07 / hxia88@ 163 com 1-5

2 c X2 c Y2 c Z2 X Y Z b 1 b 2 d 1 d 1 2 h h h 3 Y Z RX RY RZ 6 Y RZ Lagrange X Z Y RX RY RZ X Y Z 1 1 M V X V + C V X V + K V X V = F V 1 23 M V C V K V 1 F V Fig 1 Vehicle element model M B + M L X B + M V BX B + K B X B = M V1 0 F M B + M L A G 3 V2 M V = 2 M B C B K B F B 0 M Vn M L M Vn n A G M L A G m D 1 M V = 4 k X1 k Y1 k Z1 m X Y Z c X1 c Y1 c Z1 D 0 X Y Z k X2 k Y2 k Z2 A G = a G N1 a G N2 T 5 X Y Z m D M B

3 ~ 10 5 N 1 N 2 Z 1 2 = Z J - sr YJ b 1 R XJ a G Ni N i Z 3 4 = Z D + Z I b 1 R XI 4 5M L N 1 N 2 Z m 0 0 A G N 1 N 2 I = Z IL + Z IR R XI = R XD + Z IR - Z IL M L A g 0 G g 0 s = d 1 s = - d 1 Z J 3M B C B K B R XJ R YJ Z RX RY Z D R XD N 1 N 2 Z RX Z IL Z IR M B C B K B Z F 1 F 2 M L F 1 = k Z1 Z 1 - Z 3 + c Z1 Z 1 - Z 3 9 M B C B K B { F 2 = k Z1 Z 2 - Z 4 + c Z1 Z 4 I X0 + R XI + b 1 F 1 - F 2 10 g 0 m 0 I X0 RX Z ΔE ΔE E = lim = lim Δt ΔX /V = E V lim = lim V lim ΔE Δt ΔE ΔX = V E X = lim ΔE ΔX /V = ΔE ΔX = V2 2 E X E V Z 4 Z 1 Z 2 Z 3 Z F 3 F 4 F 3 4 = m 0Z I + F 1 + F 2 2 F 3 F 4 G a - b - 2 Fig 2 Wheel-rail vertical interacted forces F 1 F 2 Z F 3 F 4 3 Z G X RZ

4 Y 10 Kalker Y RZ F 5 6 = f 11g 0 R ZW 2V F 7 8 = - f 22 Y W - Y D - Y IL IR 11 V R ZW F 9 = F 10 = - V f 11 f 22 f Y W R ZW Y RZ Y D Y Y IL Y IR Y m 3 Fig 3 Wheel-rail lateral interacted forces % M V X V + C V X V + K V X V = V V m { M B + M L X B + C B X B + K B X B = F B + M L A G A G 32 5 m 12 7 m MIDAS Civil Newmark F V F B m Rayleigh 8 ~ ~ Fig Iteration process within time step ICE3

5 30 32 b 5 Fig 5 Standard cross-section of bridge deck 6 Fig 6 Bridge finite element method model c 1 Table 1 Frequencies and modes of the bridge f /Hz ICE m 160 kn kn % 150 ~ 450 km /h 25 km /h gal 27 7 gal ~ 80 m mm m 7 Fig 7 7 d Track irregularity m /s a a

6 Fig 8 8 b Seismic acceleration history d Fig 9 Vehicle-bridge system response history Q /P P /P Q P P c a m /s 350 km /h b 10 c a b d 10 Fig 10 Vehicle-bridge response vs train speed

7 32 32 J ~ 10 s 9 a b ZHANG Hui WANG Lianhua PENG Hexing Travelling wave effects of long-span cable-stayed arch bridge under seismic loads J Journal of China and Foreign Highway ~ 11 1 s 4 J c d 10 WANG Bo ZHANG Hailong WU Xiuxiong XU Feng A- nalysis of seismic time-history response of high-rise pier and long span continuous rigid-frame bridge based on great mass method J Bridge Construction J XU Chunyong Qi Xingjun SONG Guofu Analysis of seismic response control for long-span cable-stayed bridge under Kalker traveling wave input J Earthquake Resistant Engineering and Retrofitting M ZHANG Nan XIA He ROECK G D E Spectrum and sensitivity analysis of vehicle-bridge interaction system C / / 1 Proceedings of ISEV'2007 Taipei M WANG Futian Vehicle dynamics M Beijing China Railway Press J 10 - M HE Qingxiang SHEN Zuyan Review of structural seismic ZHAI Wanming Vehicle-track coupling dynamics M analysis of travelling wave effects J Journal of Earthquake Engineering and Engineering Vibration rd ed Beijing Science Press J J LU Mingqi TIAN Yuji Safety of displacement-based seismic designs in near fault ground motions J Journal of SU Cheng CHEN Haibin Seismic response of long-span Harbin Engineering University bridge under multi-support excitation J Journal of South China University of Technology Natural Science Edition CLOUGH R PENZIEN J Dynamics of structures M 2nd ed Berkeley Computers and Structures Inc R 2006

Σχετικά έγγραφα

CorV CVAC. CorV TU317. 1

CorV CVAC. CorV TU317. 1 30 8 JOURNAL OF VIBRATION AND SHOCK Vol. 30 No. 8 2011 1 2 1 2 2 1. 100044 2. 361005 TU317. 1 A Structural damage detection method based on correlation function analysis of vibration measurement data LEI