To solve the problem of vehicle-bridge dynamic interaction in time domain, the Authors proposed an uncoupled formulation of the equations of motion, that retains a sufficient generality in modelling the subsystems, and includes the effects of the pavement roughness. Based on this formulation, two iterative procedures were developed and coded, differing in the iteration scheme. The first one analyses separately the two sub-systems over the whole time history (WTH) and relies on a general purpose FE code for the structure. The second one analyses the two sub-systems at the same time and within the same code. Iteration is performed on each single time step (STS), according to a predictor-corrector scheme implemented in an ad-hoc code. Aim of this work is to investigate the stability properties of the iterative numerical methods, according to classical techniques: a general stability condition for procedure WTH is obtained, and then analysed more in detail for the case of a beam travelled by an oscillator. The analytical results obtained in the 2D case suggest the detection of an instability example for the 3D procedure, that is anyway outside of the range of interest of the model parameters. Preliminary studies show that the stability condition for procedure STS could present similar properties.
Iterative Solution Methods for Coupled Vehicle-Structure Systems
MULAS, MARIA GABRIELLA
2009-01-01
Abstract
To solve the problem of vehicle-bridge dynamic interaction in time domain, the Authors proposed an uncoupled formulation of the equations of motion, that retains a sufficient generality in modelling the subsystems, and includes the effects of the pavement roughness. Based on this formulation, two iterative procedures were developed and coded, differing in the iteration scheme. The first one analyses separately the two sub-systems over the whole time history (WTH) and relies on a general purpose FE code for the structure. The second one analyses the two sub-systems at the same time and within the same code. Iteration is performed on each single time step (STS), according to a predictor-corrector scheme implemented in an ad-hoc code. Aim of this work is to investigate the stability properties of the iterative numerical methods, according to classical techniques: a general stability condition for procedure WTH is obtained, and then analysed more in detail for the case of a beam travelled by an oscillator. The analytical results obtained in the 2D case suggest the detection of an instability example for the 3D procedure, that is anyway outside of the range of interest of the model parameters. Preliminary studies show that the stability condition for procedure STS could present similar properties.File | Dimensione | Formato | |
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