A 2-DOF model of an elastic rocket structure excited by a follower force

We present a two degree of freedom model of an elastic rocket structure excited by the follower force given by the motor thrust that is supposed to be always in the direction of the tangent to the deformed shape of the device at its lower tip. The model comprises two massless rigid pinned bars, init...

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Bibliographic Details
Published in:Journal of physics. Conference series 2017-10, Vol.911 (1), p.12020
Main Authors: Brejão, Leandro F., da Fonseca Brasil, Reyolando Manoel L. R.
Format: Article
Language:English
Subjects:
Algorithms
Dampers
Degrees of freedom
Equations of motion
Mathematical analysis
Mathematical models
Numerical integration
Physics
Runge-Kutta method
Springs (elastic)
Vertical orientation
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Summary:We present a two degree of freedom model of an elastic rocket structure excited by the follower force given by the motor thrust that is supposed to be always in the direction of the tangent to the deformed shape of the device at its lower tip. The model comprises two massless rigid pinned bars, initially in vertical position, connected by rotational springs. Lumped masses and dampers are considered at the connections. The generalized coordinates are the angular displacements of the bars with respect to the vertical. We derive the equations of motion via Lagrange's equations and simulate its time evolution using Runge-Kutta 4th order time step-by-step numerical integration algorithm. Results indicate possible occurrence of stable and unstable vibrations, such as limit cycles.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/911/1/012020