On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass
This paper presents a study on the nonlinear steady state response of a slender beam partially immersed in a fluid and carrying an intermediate mass. The model is developed based on the large deformation theory with the constraint of inextensible beam, which is valid for most engineering structures....
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2000/937247 |
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| _version_ | 1832545850816987136 |
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| author | A.A. Al-Qaisia M.N. Hamdan B.O. Al-Bedoor |
| author_facet | A.A. Al-Qaisia M.N. Hamdan B.O. Al-Bedoor |
| author_sort | A.A. Al-Qaisia |
| collection | DOAJ |
| description | This paper presents a study on the nonlinear steady state response of a slender beam partially immersed in a fluid and carrying an intermediate mass. The model is developed based on the large deformation theory with the constraint of inextensible beam, which is valid for most engineering structures. The Lagrangian dynamics in conjunction with the assumed mode method is utilized in deriving the non-linear unimodal temporal equation of motion. The distributed and concentrated sinusoidal loads are accounted for in a consistent manner using the assumed mode method. The non-linear equation of motion is, analytically, solved using the single term harmonic balance (SHB) and the two terms harmonic balance (2HB) methods. The stability of the system, under various loading conditions, is investigated. The results are presented, discussed and some conclusions on the partially immersed beam nonlinear dynamics are extracted. |
| format | Article |
| id | doaj-art-5a91c419a3484fd597e05245e225411d |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-5a91c419a3484fd597e05245e225411d2025-02-03T07:24:35ZengWileyShock and Vibration1070-96221875-92032000-01-017417919410.1155/2000/937247On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate MassA.A. Al-Qaisia0M.N. Hamdan1B.O. Al-Bedoor2Mechanical Engineering Department, Jordan University, Amman 11942, JordanMechanical Engineering Department, KFUPM Box 841, Dhaharan 31261, Saudi ArabiaMechanical Engineering Department, KFUPM Box 841, Dhaharan 31261, Saudi ArabiaThis paper presents a study on the nonlinear steady state response of a slender beam partially immersed in a fluid and carrying an intermediate mass. The model is developed based on the large deformation theory with the constraint of inextensible beam, which is valid for most engineering structures. The Lagrangian dynamics in conjunction with the assumed mode method is utilized in deriving the non-linear unimodal temporal equation of motion. The distributed and concentrated sinusoidal loads are accounted for in a consistent manner using the assumed mode method. The non-linear equation of motion is, analytically, solved using the single term harmonic balance (SHB) and the two terms harmonic balance (2HB) methods. The stability of the system, under various loading conditions, is investigated. The results are presented, discussed and some conclusions on the partially immersed beam nonlinear dynamics are extracted.http://dx.doi.org/10.1155/2000/937247 |
| spellingShingle | A.A. Al-Qaisia M.N. Hamdan B.O. Al-Bedoor On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass Shock and Vibration |
| title | On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass |
| title_full | On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass |
| title_fullStr | On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass |
| title_full_unstemmed | On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass |
| title_short | On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass |
| title_sort | on the steady state response of a cantilever beam partially immersed in a fluid and carrying an intermediate mass |
| url | http://dx.doi.org/10.1155/2000/937247 |
| work_keys_str_mv | AT aaalqaisia onthesteadystateresponseofacantileverbeampartiallyimmersedinafluidandcarryinganintermediatemass AT mnhamdan onthesteadystateresponseofacantileverbeampartiallyimmersedinafluidandcarryinganintermediatemass AT boalbedoor onthesteadystateresponseofacantileverbeampartiallyimmersedinafluidandcarryinganintermediatemass |