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


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Adair, D, Nagimova, A and Jaeger, M 2020 , 'Effect of thrust on the structural vibrations of a nonuniform slender rocket' , Mathematical and Computational Applications, vol. 25, no. 2 , pp. 1-13 , doi: 10.3390/MCA25020029.

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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.

Item Type: Article
Authors/Creators:Adair, D and Nagimova, A and Jaeger, M
Keywords: vibrations, slender rocket, Adomian modified decomposition method, natural frequency
Journal or Publication Title: Mathematical and Computational Applications
Publisher: MDPIAG
ISSN: 1300-686X
DOI / ID Number: 10.3390/MCA25020029
Copyright Information:

Copyright 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (

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