The effect of the periodic driving force on a system with two degrees of freedom

The article considers forced vibrations of a four-axle vehicle with a double spring suspension. The motion of a system with six degrees of freedom can be represented with sufficient accuracy by a system with two degrees of freedom. Therefore, the vehicle body has two degrees of freedom: lateral moti...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-10, Vol.1333 (5), p.52009
Main Authors: Kargapol'tsev, S K, Gozbenko, V E, Kuznetsov, B O, Karlina, Yu I, Karlina, A I
Format: Article
Language:English
Subjects:
Amplitudes
Degrees of freedom
Differential equations
Equations of motion
Exact solutions
Forced vibration
Oscillations
Physics
Trolleys
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Summary:The article considers forced vibrations of a four-axle vehicle with a double spring suspension. The motion of a system with six degrees of freedom can be represented with sufficient accuracy by a system with two degrees of freedom. Therefore, the vehicle body has two degrees of freedom: lateral motion and wabbling, bouncing and pitching of trolleys will be neglected. The total number of degrees of freedom of the model is two. A method that leads to a closed solution for steady-state oscillations is considered. It is defined that, with the tendency of coefficient, the amplitudes of the oscillations will be unlimited. Therefore, the parameters k1, k2 and Т must be selected on the basis of the required amplitude value. As a result of the research, differential equations of motion of the system were generated and an analytical solution was obtained for the case of application of an external piecewise constant driving force.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1333/5/052009