OPTIMIZATION AND POST-BUCKLING ANALYSIS OF A LONG SHAFT ROTOR SYSTEM WITH PINNED-STABILIZED SUPPORTED AT ARBITRARY POSITION
A nonlinear model of a pinned-free long shaft rotor system with a stabilized support at arbitrary position is established by employing the generalized Hamilton principle. The lower-order polynomials are introduced to construct Ritz basis to analyze the critical rotational velocity of the system and...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2018-01-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.01.003 |
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| _version_ | 1841535494273368064 |
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| author | XIAO ShiFu CHEN HongYong NIU HongPan |
| author_facet | XIAO ShiFu CHEN HongYong NIU HongPan |
| author_sort | XIAO ShiFu |
| collection | DOAJ |
| description | A nonlinear model of a pinned-free long shaft rotor system with a stabilized support at arbitrary position is established by employing the generalized Hamilton principle. The lower-order polynomials are introduced to construct Ritz basis to analyze the critical rotational velocity of the system and the optimal position of the stabilized support. The result of the optimal position and the bifurcation shape are verified by applying the finite element method. Furthermore,the bifurcation modes and post-buckling solutions of the rotor system are investigated while the rotational velocity exceeding the critical value. The results show that the optimal position of the stabilized support for the pinned-free long shaft rotor system is at 73% length of the beam from the pinned end. While the rotational velocity exceeds the critical value,the trivial deflection loses its stability through the pitchfork bifurcation and the axial displacement loses its stability by the transcritical bifurcation. The investigation provides a theoretic basis for installing the stabilized support for the long shaft rotor system and for understanding the geometrical nonlinear effect of the system working at supercritical state. |
| format | Article |
| id | doaj-art-e67623f6c686453987009e2ace970458 |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2018-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-e67623f6c686453987009e2ace9704582025-01-15T02:32:39ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692018-01-0140151930600528OPTIMIZATION AND POST-BUCKLING ANALYSIS OF A LONG SHAFT ROTOR SYSTEM WITH PINNED-STABILIZED SUPPORTED AT ARBITRARY POSITIONXIAO ShiFuCHEN HongYongNIU HongPanA nonlinear model of a pinned-free long shaft rotor system with a stabilized support at arbitrary position is established by employing the generalized Hamilton principle. The lower-order polynomials are introduced to construct Ritz basis to analyze the critical rotational velocity of the system and the optimal position of the stabilized support. The result of the optimal position and the bifurcation shape are verified by applying the finite element method. Furthermore,the bifurcation modes and post-buckling solutions of the rotor system are investigated while the rotational velocity exceeding the critical value. The results show that the optimal position of the stabilized support for the pinned-free long shaft rotor system is at 73% length of the beam from the pinned end. While the rotational velocity exceeds the critical value,the trivial deflection loses its stability through the pitchfork bifurcation and the axial displacement loses its stability by the transcritical bifurcation. The investigation provides a theoretic basis for installing the stabilized support for the long shaft rotor system and for understanding the geometrical nonlinear effect of the system working at supercritical state.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.01.003Rotor systemStabilized supportOptimizationGeometrical nonlinear effectCritical rotational velocityBifurcationPost-buckling |
| spellingShingle | XIAO ShiFu CHEN HongYong NIU HongPan OPTIMIZATION AND POST-BUCKLING ANALYSIS OF A LONG SHAFT ROTOR SYSTEM WITH PINNED-STABILIZED SUPPORTED AT ARBITRARY POSITION Jixie qiangdu Rotor system Stabilized support Optimization Geometrical nonlinear effect Critical rotational velocity Bifurcation Post-buckling |
| title | OPTIMIZATION AND POST-BUCKLING ANALYSIS OF A LONG SHAFT ROTOR SYSTEM WITH PINNED-STABILIZED SUPPORTED AT ARBITRARY POSITION |
| title_full | OPTIMIZATION AND POST-BUCKLING ANALYSIS OF A LONG SHAFT ROTOR SYSTEM WITH PINNED-STABILIZED SUPPORTED AT ARBITRARY POSITION |
| title_fullStr | OPTIMIZATION AND POST-BUCKLING ANALYSIS OF A LONG SHAFT ROTOR SYSTEM WITH PINNED-STABILIZED SUPPORTED AT ARBITRARY POSITION |
| title_full_unstemmed | OPTIMIZATION AND POST-BUCKLING ANALYSIS OF A LONG SHAFT ROTOR SYSTEM WITH PINNED-STABILIZED SUPPORTED AT ARBITRARY POSITION |
| title_short | OPTIMIZATION AND POST-BUCKLING ANALYSIS OF A LONG SHAFT ROTOR SYSTEM WITH PINNED-STABILIZED SUPPORTED AT ARBITRARY POSITION |
| title_sort | optimization and post buckling analysis of a long shaft rotor system with pinned stabilized supported at arbitrary position |
| topic | Rotor system Stabilized support Optimization Geometrical nonlinear effect Critical rotational velocity Bifurcation Post-buckling |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.01.003 |
| work_keys_str_mv | AT xiaoshifu optimizationandpostbucklinganalysisofalongshaftrotorsystemwithpinnedstabilizedsupportedatarbitraryposition AT chenhongyong optimizationandpostbucklinganalysisofalongshaftrotorsystemwithpinnedstabilizedsupportedatarbitraryposition AT niuhongpan optimizationandpostbucklinganalysisofalongshaftrotorsystemwithpinnedstabilizedsupportedatarbitraryposition |