Effect of thrust on the structural vibrations of a nonuniform slender rocket

Desmond Adair, Aigul Nagimova, Martin Jaeger

Research output: Contribution to journalArticlepeer-review


The vibration characteristics of a nonuniform, flexible and free-flying slender rocket experiencing constant thrust is investigated. The rocket is idealized as a classic nonuniform beam with a constant one-dimensional follower force and with free-free boundary conditions. The equations of motion are derived by applying the extended Hamilton’s principle for non-conservative systems. Natural frequencies and associated mode shapes of the rocket are determined using the relatively efficient and accurate Adomian modified decomposition method (AMDM) with the solutions obtained by solving a set of algebraic equations with only three unknown parameters. The method can easily be extended to obtain approximate solutions to vibration problems for any type of nonuniform beam.

Original languageEnglish
Article number29
JournalMathematical and Computational Applications
Issue number2
Publication statusPublished - May 2020


  • Adomian modified decomposition method
  • Natural frequency
  • Slender rocket
  • Vibrations

ASJC Scopus subject areas

  • Engineering(all)
  • Computational Mathematics
  • Applied Mathematics

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