On the Dynamic Stability of a Rocket Under Constant Thrust

CİHAN M., Kaya M. O.

7th International Conference on Recent Advances in Space Technologies (RAST), İstanbul, Turkey, 16 - 19 June 2015, pp.467-470 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/rast.2015.7208390
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.467-470
  • Keywords: dynamic stability, missile, rocket, free vibration, natural frequency, CONTROLLED FOLLOWER FORCE, FREE-VIBRATION ANALYSIS, FREE-FREE BEAM, AEROELASTIC STABILITY, CONCENTRATED MASS, ELEMENT METHOD, MISSILE, SLENDER
  • Anadolu University Affiliated: Yes

Abstract

Dynamic stability of a free flight aerospace vehicle is investigated in this paper. Firstly, the slender rocket body is modeled as a classic uniform beam that subjected to constant end rocket thrust. The one-dimensional free-free beam under follower force is established for structural model to discover dynamic stability. Equations of motion of vehicle is derived by applying extended Hamilton's principle for non-conservative systems. Natural frequencies of rocket are determined and critical thrust is obtained by using finite element method. It is noted that, transverse vibrational modes differ by thrust value. Secondly, natural frequencies of non-homogeneous beam are discussed by considering that rocket has different types and number of stages. Numerical results for both cases are represented.