EFFECT OF THRUST ON THE STRUCTURAL VIBRATIONS OF A NONUNIFORM SLENDER ROCKET
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Date
2020-05
Authors
Adair, Desmond
Nagimova, Aigul
Jaeger, Martin
Journal Title
Journal ISSN
Volume Title
Publisher
Math. Comput. Appl.
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.
Description
Keywords
Type of access: Open Access, vibrations, slender rocket, Adomian modified decomposition method, natural frequency
Citation
Adair, D., Nagimova, A., & Jaeger, M. (2020). Effect of Thrust on the Structural Vibrations of a Nonuniform Slender Rocket. Mathematical and Computational Applications, 25(2), 29. https://doi.org/10.3390/mca25020029