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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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Abstract

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 (http://creativecommons.org/licenses/by/4.0/).

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