Dynamics of Flexible Rotor Systems with an Interim Mass Unbalanced Disk Using a Spectral Element Model
A frequency domain spectral element model is developed for a rotor system that consists of two spinning shafts and an interim disk or blade system. In this study, the shafts are represented by spinning Timoshenko beam models, and the interim disk system is represented by a uniform thick rigid disk w...
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| Veröffentlicht in: | Mathematical problems in engineering 2014-01, Vol.2014 (2014), p.1-14 |
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| container_title | Mathematical problems in engineering |
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| creator | Choi, Sangkyu Lee, Usik |
| description | A frequency domain spectral element model is developed for a rotor system that consists of two spinning shafts and an interim disk or blade system. In this study, the shafts are represented by spinning Timoshenko beam models, and the interim disk system is represented by a uniform thick rigid disk with an unbalanced mass. In our derivation of the governing equations of motion of the disk system, the disk is considered to be wobbling about the geometric center of the disk at which the spinning shafts are attached. The high accuracy of the proposed spectral element model is evaluated by comparison with the natural frequencies obtained using the conventional finite element method (FEM). The spectral element model is then used to investigate the effects of the unbalanced mass on the natural frequencies and dynamic responses of an example rotor system. |
| doi_str_mv | 10.1155/2014/325434 |
| format | Article |
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In this study, the shafts are represented by spinning Timoshenko beam models, and the interim disk system is represented by a uniform thick rigid disk with an unbalanced mass. In our derivation of the governing equations of motion of the disk system, the disk is considered to be wobbling about the geometric center of the disk at which the spinning shafts are attached. The high accuracy of the proposed spectral element model is evaluated by comparison with the natural frequencies obtained using the conventional finite element method (FEM). The spectral element model is then used to investigate the effects of the unbalanced mass on the natural frequencies and dynamic responses of an example rotor system.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2014/325434</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Puplishing Corporation</publisher><subject>Accuracy ; Disks ; Dynamical systems ; Dynamics ; Engineering ; Equations of motion ; Finite element analysis ; Finite element method ; Mathematical models ; Methods ; Military helicopters ; Resonant frequencies ; Resonant frequency ; Rotors ; Spectra ; Spinning ; Studies ; Timoshenko beams</subject><ispartof>Mathematical problems in engineering, 2014-01, Vol.2014 (2014), p.1-14</ispartof><rights>Copyright © 2014 Sangkyu Choi and Usik Lee.</rights><rights>Copyright © 2014 Sangkyu Choi and Usik Lee. Sangkyu Choi et al. 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The spectral element model is then used to investigate the effects of the unbalanced mass on the natural frequencies and dynamic responses of an example rotor system.</description><subject>Accuracy</subject><subject>Disks</subject><subject>Dynamical systems</subject><subject>Dynamics</subject><subject>Engineering</subject><subject>Equations of motion</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Mathematical models</subject><subject>Methods</subject><subject>Military helicopters</subject><subject>Resonant frequencies</subject><subject>Resonant frequency</subject><subject>Rotors</subject><subject>Spectra</subject><subject>Spinning</subject><subject>Studies</subject><subject>Timoshenko beams</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0E1Lw0AQgOEgCtbqybOw4EWU6M5-JXuUalVQBLXgLWw2E92abGo2pfbfmxLx4MXTzOFhGN4oOgR6DiDlBaMgLjiTgoutaARS8ViCSLb7nTIRA-Ovu9FeCHNKGUhIR1F5tfamdjaQpiTTCr9cXiF5arqmJc_r0GEdyMp178R4cuc7bF1NHkwIZOZzUxlvsSBXLnyQWXD-jRjyvEDbtaYi1xXW6Dvy0BRY7Uc7pakCHvzMcTSbXr9MbuP7x5u7yeV9bLlQXcwZwyQHK4XRRWEVVVqpxABoowUKaRRYTLSihZFpbmnCWSJAU8FVmSvUfBydDHcXbfO5xNBltQsWq_5TbJYhA8UolVzrtKfHf-i8Wba-_y4DKZIkVUJBr84GZdsmhBbLbNEnMO06A5ptmmeb5tnQvNeng353vjAr9w8-GjD2BEvzi4XiSjD-DY5_iD4</recordid><startdate>20140101</startdate><enddate>20140101</enddate><creator>Choi, Sangkyu</creator><creator>Lee, Usik</creator><general>Hindawi Puplishing Corporation</general><general>Hindawi Publishing Corporation</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0001-8714-2711</orcidid></search><sort><creationdate>20140101</creationdate><title>Dynamics of Flexible Rotor Systems with an Interim Mass Unbalanced Disk Using a Spectral Element Model</title><author>Choi, Sangkyu ; 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| ispartof | Mathematical problems in engineering, 2014-01, Vol.2014 (2014), p.1-14 |
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| language | eng |
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| source | EZB-FREE-00999 freely available EZB journals; Wiley Online Library (Open Access Collection); Alma/SFX Local Collection |
| subjects | Accuracy Disks Dynamical systems Dynamics Engineering Equations of motion Finite element analysis Finite element method Mathematical models Methods Military helicopters Resonant frequencies Resonant frequency Rotors Spectra Spinning Studies Timoshenko beams |
| title | Dynamics of Flexible Rotor Systems with an Interim Mass Unbalanced Disk Using a Spectral Element Model |
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