Three-Dimensional Ballistic Equations of Rocket Considering the Elastic Effects
Because the shell of modern rocket is more and more thin and the body length to diameter ratio increase constantly, influence to trajectory caused by elasticity effect cannot be ignored any more. Based on the model of Euler-Bernoulli beam, the dynamic equations of flexible rocket are derived by using of Hamilton principle. The influence of distributing mass and aerodynamic force and the coupling between longitudinal and transversal vibration are considered. Example shows ballistic range and altitude of rocket are influenced by elastic effects observably.
F. Liu, "Three-Dimensional Ballistic Equations of Rocket Considering the Elastic Effects", Applied Mechanics and Materials, Vol. 628, pp. 157-160, 2014