Abstract
The so called “alterable-element method” (AEM) was introduced to deal with the coupling interaction of vehicle and sub-structure considering the actual transient jump of wheel, while the classical “contact all along” assumption based on which wheels and lower structure are always contact was abandoned. The alterable element used in this method is a conceptional element, which is used to calculate the coupling interaction of upper and lower structures and has some typical characteristics: firstly it flows along with the moving of contact point; secondly whether it is used for calculation depends on the contact state; thirdly its sizes could change according to specific problems and so on. VISUAL FORTRAN program was coded, and different moving vehicle models were presented taking into consideration the effects of random corrugation in the numerical study. The numerical solutions are favored comparing with the results obtained by alternative methods when there is no jump phenomenon existed. With abrupt irregularity, the transient jump of wheel was studied using the present method.
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Abbreviations
- M v, K v, C v, u v :
-
General mass, stiffness, damping and displacement vectors of vehicle
- M wi :
-
Mass of wheels
- l c :
-
Half length of vehicle body
- l cc :
-
Length between two adjoin wheels of two adjoin vehicles
- K 1, C 1, K 2, C 2 :
-
Stiffness and damping coefficients of primary and secondary suspension of vehicle
- J c :
-
Rolling moments of vehicle body and bogie
- N w, N wtotal :
-
Numbers of wheel on the bridge and total numbers of wheels
- F i (i = 1,4 × N wtotal):
-
Force acting on wheel
- K H :
-
Equivalent contact stiffness coefficient
- x wi :
-
Coordinate of the ith wheel
- u b(x wi , t):
-
Displacement of bridge
- p i :
-
Contact force of the ith wheel and substructure
- F :
-
Total force vector of vehicle-bridge system
- l wi (i = 2,4):
-
Distance from the ith wheel to the first wheel of vehicle
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Foundation item: the Science and Technology Commission of Shanghai Municipality (No. 03DZ12017); the Shanghai Municipal Informatization Commission
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Wu, C., Liu, Xw. & Huang, Xc. Alterable-element method for vehicle-bridge interaction considering the transient jump of wheel. J. Shanghai Jiaotong Univ. (Sci.) 13, 330–335 (2008). https://doi.org/10.1007/s12204-008-0330-2
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DOI: https://doi.org/10.1007/s12204-008-0330-2