Abstract
A computational framework is developed to investigate the in∞uence of combustion induced follower force (thrust) and mass variation on the launch vehicle dynamics and stability. A detailed mechanics based mathematical model of a moving ∞exible vehicle is used. Coupling among the rigid-body modes, the longitudinal vibrational modes and the transverse vibrational modes are considered. The governing difierential equations are nonlinear and coupled with respect to rigid body displacements and elastic displacements. The structural dynamic modes of the vehicle are modifled due to the instantaneous states of the vehicle centre of mass velocity and acceleration. Eigenvalues of the vehicle are determined in order to analyze the stable regimes. Numerical simulations are carried out for a typical vehicle conflguration to determine the instability regimes with vehicle speed and chamber pressure as the parameters. Phenomenon of static instability (divergence) and dynamic instability (∞utter) are observed for certain parameters.
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