Eventos Anais de eventos
MECSOL 2019
7th International Symposium on Solid Mechanics
Instability caused by a follower force on an elastic rocket structure mathematical model
Submission Author:
Victor Casulli de Oliveira , SP
Co-Authors:
Victor Casulli de Oliveira, Reyolando Brasil
Presenter: Victor Casulli de Oliveira
doi://10.26678/ABCM.MECSOL2019.MSL19-0018
Abstract
We present a two degree of freedom model of an elastic rocket structure. To represent the motor thrust, we use a follower (circulatory) nonconservative force. It is supposed that this force is always in the direction of the tangent to the deformed shape of the device at its lower tip. The model is described by two massless rigid pinned bars connected by rotational springs, and lumped masses and dampers are considered at the connections. The starting position is the vertical position and the generalized coordinates are the angular displacements of the bars. 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 and flutter.
Keywords
an elastic structure, Rocket, follower force
