2009
DOI: 10.1243/14644193jmbd228
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Modelling the vehicle in vehicle—infrastructure dynamic interaction studies

Abstract: This paper presents the equations of motion for a general articulated road vehicle, with variable numbers 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.

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Cited by 30 publications
(51 citation statements)
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“…The mass of the wheel/axle assembly is mw and finally the tyre is modelled as a spring with stiffness Ks. The vehicle equations are formulated following recommendations by Cantero et al (2010). Table 2 provides the parameters of the vehicle (Cantero et al 2011, ElMadany 1988.…”
Section: (Approx Location Table 1)mentioning
confidence: 99%
“…The mass of the wheel/axle assembly is mw and finally the tyre is modelled as a spring with stiffness Ks. The vehicle equations are formulated following recommendations by Cantero et al (2010). Table 2 provides the parameters of the vehicle (Cantero et al 2011, ElMadany 1988.…”
Section: (Approx Location Table 1)mentioning
confidence: 99%
“…where M v , C v and K v -the vehicle mass, damping and stiffness matrices respectively; z v -a vector containing the degrees of freedom of the vehicle; and vector F v (t) contains the external forces applied to the system (Cantero et al 2010). As cranes do not include a hinge, they are a special case of Fig.…”
Section: Vehicle Modelsmentioning
confidence: 99%
“…2) and 3-D FE models. A 3-D FE model can be made of 3-D solid elements (Kwasniewski et al, 2006;Deng & Cai, 2010) Plate bridge models have been used to investigate VBI by Olsson (1985), Kirkegaard et al (1997), Henchi et al (1998), Zhu & Law (2002), Cantero et al (2009) and González et al (2010). They are based on thin plate theory, which assumes the normal and shear strains in the 'z' direction (perpendicular to the plate plane) to be negligible.…”
Section: Wwwintechopencommentioning
confidence: 99%
“…While the equations of motion of the bridge are obtained using the FEM, there are three alternative methods to derive the equations of motion of the vehicle: (a) imposing equilibrium of all forces and moments acting on the vehicle and expressing them in terms of their DOFs (Hwang & Nowak, 1991;Kirkegaard et al, 1997;Tan el al., 1998;Cantero et al, 2010), (b) using the principle of virtual work or a Lagrange formulation (Henchi et al, 1998), and (c) applying the code of an available FE package. The equations of equilibrium deal with vectors (forces) and they can be applied to relatively simple vehicle models, while an energy approach has the advantage of dealing with scalar amounts (i.e., contribution to virtual work) that can be added algebraically and are more suitable for deriving the equations of complex vehicle models.…”
Section: The Vehiclementioning
confidence: 99%
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