EFFECT OF THRUST ON THE STRUCTURAL VIBRATIONS OF A NONUNIFORM SLENDER ROCKET
| dc.contributor.author | Adair, Desmond | |
| dc.contributor.author | Nagimova, Aigul | |
| dc.contributor.author | Jaeger, Martin | |
| dc.date.accessioned | 2021-07-03T11:24:53Z | |
| dc.date.available | 2021-07-03T11:24:53Z | |
| dc.date.issued | 2020-05 | |
| dc.description.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. | en_US |
| dc.identifier.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 | en_US |
| dc.identifier.issn | 1300-686X | |
| dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/5527 | |
| dc.language.iso | en | en_US |
| dc.publisher | Math. Comput. Appl. | en_US |
| dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
| dc.subject | Type of access: Open Access | en_US |
| dc.subject | vibrations | en_US |
| dc.subject | slender rocket | en_US |
| dc.subject | Adomian modified decomposition method | en_US |
| dc.subject | natural frequency | en_US |
| dc.title | EFFECT OF THRUST ON THE STRUCTURAL VIBRATIONS OF A NONUNIFORM SLENDER ROCKET | en_US |
| dc.type | Article | en_US |
| workflow.import.source | science |