Geodesic
Bertolino-Bakša stability at nonlinear vibrations of motor vehicles
Theoretical and applied mechanics, Tome 44 (2017) no. 2.

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Research of vehicle response to road roughness is particularly important when solving problems related to dynamic vehicle stability. In this paper, unevenness of roads is considered as the source of non-linear vibrations of motor vehicles. The vehicle is represented by an equivalent spatial model with seven degrees of freedom. In addition to solving the response by simulating it within a numerical code, quasi-linearization of nonlinear differential equations of motion is carried out. Solutions of quasi-linear differential equations of forced vibrations are determined using the small parameter method and are indispensable for the study of spatial stability of the vehicle. An optimal stabilization for a simplified two-dimensional model was performed. Spatial stability and internal resonance are considered briefly.
Keywords: nonlinear vibrations, small parameter, long stability time, spatial stability, optimal stabilization 
@article{TAM_2017_44_2_a11,
     author = {Ljudmila Kudrjavceva and Milan Micunovic and Danijela Miloradovic and Aleksandar Obradovic},
     title = {Bertolino-Bak\v{s}a stability at nonlinear vibrations of motor vehicles},
     journal = {Theoretical and applied mechanics},
     pages = {271 - 291},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {2017},
     url = {http://geodesic.mathdoc.fr/item/TAM_2017_44_2_a11/}
}
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%J Theoretical and applied mechanics
%D 2017
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Ljudmila Kudrjavceva; Milan Micunovic; Danijela Miloradovic; Aleksandar Obradovic. Bertolino-Bakša stability at nonlinear vibrations of motor vehicles. Theoretical and applied mechanics, Tome 44 (2017) no. 2. http://geodesic.mathdoc.fr/item/TAM_2017_44_2_a11/