2016
DOI: 10.1142/s0219455415500406
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An Efficient Algorithm for Nonlinear Analysis of Vehicle/Track Interaction Problems

Abstract: In this paper, a new algorithm for solving the vehicle/track dynamic interaction problem is developed, aimed at reducing the computational cost. The algorithm called Advanced Solver Algorithm (ASA) uses the full Newton–Raphson incremental-iterative method in conjunction with the Newmark integration scheme to solve the equilibrium equations of the coupled vehicle/track system in time domain. Considering the track as a beam resting on a viscoelastic foundation and each vehicle as a wagon with ten degrees of free… Show more

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Cited by 15 publications
(9 citation statements)
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“…In order to investigate the effects of track and rolling stock parameters on the TRC, a 2D numerical model of vehicleslab track dynamic interaction was developed in this study. This model is an upgraded/improved version of the one developed by these authors in (Sadeghi et al 2016a(Sadeghi et al , 2019. In the new model, the concrete slab is simulated as a continuous layer, which has less computational cost compared to the original one.…”
Section: Development Of Vehicle-track Modelmentioning
confidence: 99%
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“…In order to investigate the effects of track and rolling stock parameters on the TRC, a 2D numerical model of vehicleslab track dynamic interaction was developed in this study. This model is an upgraded/improved version of the one developed by these authors in (Sadeghi et al 2016a(Sadeghi et al , 2019. In the new model, the concrete slab is simulated as a continuous layer, which has less computational cost compared to the original one.…”
Section: Development Of Vehicle-track Modelmentioning
confidence: 99%
“…where is the contact force between the wheel and the rail, ℎ stands for the wheel vertical displacement, is the rail vertical displacement of the wheel-rail contact point, stands for the rail irregularity and is the Hertz spring constant. The stiffness, mass and damping matrices of the whole model were derived by assembling the stiffness, mass and damping matrices of the sub-models (Askarinejad and Dhanasekar 2016, Khajehdezfuly 2019, Sadeghi et al 2016a, 2016b, Sadeghi et al 2019. The vehicle-slab track dynamic interaction equation was solved using Advanced Solution Algorithm (ASA) developed by Sadeghi et al (2016a).…”
Section: Development Of Vehicle-track Modelmentioning
confidence: 99%
“…Many studies have been conducted with the vehicle-slab track coupled model including the comparison of two-and threedimensional models [16], the comparison of two-layered and three-layered slab tracks [17], the comparison of linear and nonlinear Hertzian contact theory [18], and the dynamic effects under different irregularities [19][20][21]. Furthermore, many efficient algorithms have been put forward to solve the nonlinear vehicle-track interaction problem [22][23][24][25]. ese studies provide a basis for studying the vibration responses under defects.…”
Section: Introductionmentioning
confidence: 99%
“…Neves et al [14] and Montenegro et al [15] used the Alpha method, an improvement of the Newmark method, for analyzing the nonlinear vehicle structure. Sadeghi et al [16] used the Newmark Beta integration method together with full Newton-Raphson incremental iterative to solve the equations of motion of the vehicle-track system which can reduce computational cost. Uzzal et al [17] used the Rayleigh-Ritz method to solve the coupled equations of the vehicle-track system by considering wheel flat.…”
Section: Introductionmentioning
confidence: 99%