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


Adair, D and Nagimova, A and Jaeger, M, Effect of thrust on the structural vibrations of a nonuniform slender rocket, Mathematical and Computational Applications, 25, (2) Article 29. ISSN 1300-686X (2020) [Refereed Article]


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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 (

DOI: doi:10.3390/MCA25020029


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 Details

Item Type:Refereed Article
Keywords:vibrations, slender rocket, Adomian modified decomposition method, natural frequency
Research Division:Engineering
Research Group:Aerospace engineering
Research Field:Aerospace engineering not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in engineering
UTAS Author:Jaeger, M (Dr Martin Jaeger)
ID Code:143404
Year Published:2020
Web of Science® Times Cited:1
Deposited By:Engineering
Deposited On:2021-03-15
Last Modified:2021-04-09
Downloads:10 View Download Statistics

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