This article presents the equations of motion for a general articulated road vehicle, with variable number of wheels for the tractor and trailer. The equations are applicable to vehicle—infrastructure dynamic interaction problems for two- and three-dimensional systems, allowing for the definition of a wide variety of vehicle configurations with the same formulae.
CebonD.Handbook of vehicle-road interaction (The Netherlands: Sewts & Zeitlinger Lisse1999)
2.
FrýbaL.Vibration of solids and structures under moving loads (London: Thomas Telford1999)
3.
YangY. B.YauJ. D.WuY. S.Vehicle-bridge interaction dynamics: with applications to high-speed railways (Singapore: World scientific2004)
4.
HilalM. A.ZibdehH. S.‘Vibration analysis of beams with general boundary conditions traversed by a moving force’J. Sound Vibr.2292 (2000): 377–388
5.
SavinE.‘Dynamic amplification factor and response spectrum for the evaluation of vibrations of beams under successive moving loads’J. Sound Vibr.2482 (2001): 267–288
6.
BradyS. P.O'BrienE. J.‘Effect of vehicle velocity on the dynamic amplification of two vehicles crossing a simply supported bridge’J. Bridge Eng.112 (2006): 250–256
7.
GonzálezA.O'BrienE. J.‘The use of functional networks to optimise the accuracy of multiple-sensor weigh-in-motion systems’In Proceedings of the Fourth International Conference on Weigh-in-motion (ICWIM4), Taipei, Taiwan, 2005.
8.
LiY.O'BrienE. J.GonzálezA.‘The development of a dynamic amplification estimator for bridges with good road profiles’J. Sound Vibr.2931-2 (2006): 125–137
9.
SeetapanP.ChucheepsakulS.‘Dynamic response of a two-span beam subjected to high speed 2DOF sprung vehicles’Int. J. Struct. Stab. Dyn.63 (2006): 413–430
10.
YangY. B.HungC. H.YauJ. D.‘An element for analysing vehicle-bridge systems considering vehicle's pitching effect’Int. J. Numer. Methods Eng.46 (1999): 1031–1047
11.
O'BrienE. J.LiY.GonzálezA.‘Bridge roughness index as an indicator of bridge dynamic amplification’Comput. Struct.84 (2006): 759–769
12.
KimC. W.KawataniM.KimK. B.‘Three-dimensional dynamic analysis for bridge-vehicle interaction with roadway roughness’Comput. Struct.83 (2005): 1627–1645
13.
PesterevA. V.YangB.TanC. A.BergmanL. A.‘Assessment of pothole-induced tire forces in a general linear vehicle model’In Proceedings of the 16th ASCE Engineering Mechanics Conference, Seattle, 2003, available from http://www.ce.washington.edu/em03/proceedings/.
14.
HarrisN. K.O'BrienE. J.GonzálezA.‘Reduction of bridge dynamic amplification through adjustment of vehicle suspension damping’J. Sound Vibr.3023 (2007): 471–485
15.
KirkegaardP. H.NielsenS. R. K.EnevoldsenI.‘Heavy vehicles on minor highway bridges - dynamic modelling of vehicles and bridges. Aalborg University, Instituttet for Bygningsteknik’ (1997)
16.
WangT. L.HuangD.‘Dynamic response of continuous beam bridges and slant-legged rigid frame bridges. Florida International University, Department of Civil and Environmental Engineering’ (1992)
17.
GonzálezA.RattiganP.O'BrienE. J.CapraniC.‘Determination of bridge lifetime DAF using finite element analysis of critical loading scenarios’Engng Struct.309 (2008): 2330–2337
18.
FafardM.BennurM.SavardM.‘A general multi-axle vehicle model to study the bridge-vehicle interaction’Engng Comput.145 (1997): 491–508
19.
KwasniewskiL.LiH.WekezerJ.MalachowskiJ.‘Finite element analysis of vehicle-bridge interaction’Finite Elem. Anal. Des.42 (2006): 950–959
20.
GreenM. F.CebonD.‘Dynamic interaction between heavy vehicles and highway bridges’Comput. Struct.622 (1997): 253–264
21.
TedescoJ. W.McDougalW. G.RossC. A.Structural dynamics, theory and applications (California: Addison-Wesley1999)
22.
WeaverW.JohnstonP. R.Structural dynamics by finite elements (Englewood Cliffs, New Jersey: Prentice-Hall1986)
23.
BatheK. J.WilsonE. L.Numerical methods in finite element analysis (Englewood Cliffs, New Jersey: Prentice-Hall1976)
24.
TrujilloD. M.‘The direct numerical integration of liner matrix differential equations using Padé approximations’Int. J. Numer Methods Eng.93 (1975): 259–270
25.
ElMadanyM. M.‘Design optimization of truck suspensions using covariance analysis’Comput. Struct.282 (1988): 241–246
FuT. T.CebonD.‘Analysis of a truck suspension database’Int. J. Heavy Veh. Syst.94 (2002): 281–297
28.
LehtonenT.KaijalainenO.PirjolaH.JuhalaM.‘Measuring stiffness and damping properties of heavy tyres’In Proceedings of the FISITA Transactions 2006, 2007, London (available on CD-ROM).
29.
WongJ. Y.Theory of ground vehicles (New York: John Wiley & Sons1993)
30.
GillespieT. D.MacAdamC. C.HuG. T.BernardJ. E.WinklerC. B.‘Simulation of the effects of increased truck size and weight. University of Michigan, Highway Safety Research Institute’ (1979)
CollopA. C.CebonD.ColeD. J.‘Effects of spatial repeatability on long-term flexible pavement performance’Proc. IMechE, Part C: J. Mechanical Engineering Science210 (2) (1996): 97-110 DOI: 10.1243/PIME_PROC_1996_210_177_02
34.
ColeD. J.CebonD.‘Influence of tractor-trailer interaction on assessment of road damaging performance’Proc. IMechE, Part D: J. Automobile Engineering212 (1998): 1-10 DOI: 10.1243/0954407981525759
35.
GillespieT. D.KaramihasS. M.CebonD.SayersM. W.NasimM. A.HansenW.EhsanN.‘Effects of heavy vehicle characteristics on pavement response and performance. University of Michigan, Transportation Research Institute’ (1992)
36.
ColeD. J.CebonD.‘Front-rear interaction in a pitch-plane truck model’Veh. Syst. Dyn.30 (1998): 117–141
37.
ColeD. J.CebonD.‘Spatial repeatability of dynamic tyre forces generated by heavy lorries’Proc. IMechE, Part D: J. Automobile Engineering206 (1992): 17-27 DOI: 10.1243/PIME_PROC_1992_206_157_02
38.
ColeD. J.CebonD.‘Truck suspension design to minimize road damage’Proc. IMechE, Part D: J. Auto- mobile Engineering2102 (1996): 95-107 DOI: 10.1243/PIME_PROC_1996_210_251_02
39.
GreenM. F.CebonD.ColeD. J.‘Effects of vehicle suspension design on dynamics of highway bridges’ASCE Struct. Eng.1212 (1995): 272–282
40.
PremH.AytonG.‘Improved techniques for assessing ride quality on concrete pavements’In Proceedings of the International Conference on Concrete pavements, Colorado Springs, Colorado, USA, 2005.
41.
HarrisN. K.GonzálezA.O'BrienE. J.McGetrickP.‘Characterisation of pavement profile heights using accelerometer readings and a combinatorial optimisation technique’J. Sound Vibr.329 (2010): 497–508
BelayA.O'BrienE. J.KroeseD.‘Truck fleet model for design and assessment of flexible pavements’J. Sound Vibr.311 (2008): 1161–1174
44.
WilsonS. P.HarrisN. K.O'BrienE. J.‘The use of Bayesian statistics to predict patterns of spatial repeatability’Transp. Res.145 (2006): 303–315
45.
GonzalezA.RowleyC.O'BrienE. J.‘A general solution to the identification of moving vehicle forces on a bridge’Int. J. Numer. Meth. Eng.753 (2008): 335–354
