Effect of Thrust on the Structural Vibrations of a Nonuniform Slender Rocket
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | https://www.mdpi.com/2297-8747/25/2/29 |
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| author | Desmond Adair Aigul Nagimova Martin Jaeger |
| author_facet | Desmond Adair Aigul Nagimova Martin Jaeger |
| author_sort | Desmond Adair |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T19:47:26Z |
| format | Article |
| id | doaj.art-30c1c53a552d4ba0b1abed04e0f74dce |
| institution | Directory Open Access Journal |
| issn | 1300-686X 2297-8747 |
| language | English |
| last_indexed | 2024-03-10T19:47:26Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematical and Computational Applications |
| spelling | doaj.art-30c1c53a552d4ba0b1abed04e0f74dce2023-11-20T00:38:48ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472020-05-012522910.3390/mca25020029Effect of Thrust on the Structural Vibrations of a Nonuniform Slender RocketDesmond Adair0Aigul Nagimova1Martin Jaeger2Department of Mechanical & Aerospace Engineering, Nazarbayev University, Nur-Sultan 010000, KazakhstanDepartment of Mechanical & Aerospace Engineering, Nazarbayev University, Nur-Sultan 010000, KazakhstanCollege of Sciences & Engineering, University of Tasmania, Hobart TAS7001, AustraliaThe 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.https://www.mdpi.com/2297-8747/25/2/29vibrationsslender rocketAdomian modified decomposition methodnatural frequency |
| spellingShingle | Desmond Adair Aigul Nagimova Martin Jaeger Effect of Thrust on the Structural Vibrations of a Nonuniform Slender Rocket Mathematical and Computational Applications vibrations slender rocket Adomian modified decomposition method natural frequency |
| title | Effect of Thrust on the Structural Vibrations of a Nonuniform Slender Rocket |
| title_full | Effect of Thrust on the Structural Vibrations of a Nonuniform Slender Rocket |
| title_fullStr | Effect of Thrust on the Structural Vibrations of a Nonuniform Slender Rocket |
| title_full_unstemmed | Effect of Thrust on the Structural Vibrations of a Nonuniform Slender Rocket |
| title_short | Effect of Thrust on the Structural Vibrations of a Nonuniform Slender Rocket |
| title_sort | effect of thrust on the structural vibrations of a nonuniform slender rocket |
| topic | vibrations slender rocket Adomian modified decomposition method natural frequency |
| url | https://www.mdpi.com/2297-8747/25/2/29 |
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