Accurate one dimensional beam modeling method for a rotor shaft with stepped cross-sections in the finite element method
The bending stiffness at the stepped cross-section of a rotor decreases in accordance with the elasticity in the face of the cross-section. This study proposes a method to deal with this decrease in bending stiffness in one dimensional (1D) beam modeling. The 1D beam modeling is widely used in pract...
| Main Authors: | , |
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| Format: | Article |
| Language: | Japanese |
| Published: |
The Japan Society of Mechanical Engineers
2014-08-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/80/816/80_2014dr0237/_pdf/-char/en |
| _version_ | 1811225034988978176 |
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| author | Nobuaki NAGAE Tomonobu GOTO |
| author_facet | Nobuaki NAGAE Tomonobu GOTO |
| author_sort | Nobuaki NAGAE |
| collection | DOAJ |
| description | The bending stiffness at the stepped cross-section of a rotor decreases in accordance with the elasticity in the face of the cross-section. This study proposes a method to deal with this decrease in bending stiffness in one dimensional (1D) beam modeling. The 1D beam modeling is widely used in practice to predict the rotor vibration characteristics represented by the eigenvalues because reasonable accuracy can be obtained in shorter computational time compared to three dimensional (3D) modeling—this is applicable to precisely predict the vibration including the cross-sectional face elasticity. Furthermore, the 1D beam modeling is especially useful to save computational time for identifying optimum rotor shapes or dimensions in which iterative complex eigenvalue calculations are required. In the 1D beam modeling, however, the decrease in bending stiffness is not included unless a special treatment is introduced into it. In this paper, the authors propose an accurate and easy-to-use 1D beam modeling method which takes into account the cross-sectional face elasticity of a rotor shaft with stepped cross-sections. This newly proposed method considerably reduces the calculation error regarding the rotor's bending stiffness—an inherent functional limitation of the 1D beam modeling. |
| first_indexed | 2024-04-12T08:59:01Z |
| format | Article |
| id | doaj.art-20e8a9c1eace46248182cfe63956b56d |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-12T08:59:01Z |
| publishDate | 2014-08-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-20e8a9c1eace46248182cfe63956b56d2022-12-22T03:39:17ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612014-08-0180816DR0237DR023710.1299/transjsme.2014dr0237transjsmeAccurate one dimensional beam modeling method for a rotor shaft with stepped cross-sections in the finite element methodNobuaki NAGAE0Tomonobu GOTO1Kawasaki Technology Co., LtdDepartment of Mechanical and Aerospace Engineering, Tottori UniversityThe bending stiffness at the stepped cross-section of a rotor decreases in accordance with the elasticity in the face of the cross-section. This study proposes a method to deal with this decrease in bending stiffness in one dimensional (1D) beam modeling. The 1D beam modeling is widely used in practice to predict the rotor vibration characteristics represented by the eigenvalues because reasonable accuracy can be obtained in shorter computational time compared to three dimensional (3D) modeling—this is applicable to precisely predict the vibration including the cross-sectional face elasticity. Furthermore, the 1D beam modeling is especially useful to save computational time for identifying optimum rotor shapes or dimensions in which iterative complex eigenvalue calculations are required. In the 1D beam modeling, however, the decrease in bending stiffness is not included unless a special treatment is introduced into it. In this paper, the authors propose an accurate and easy-to-use 1D beam modeling method which takes into account the cross-sectional face elasticity of a rotor shaft with stepped cross-sections. This newly proposed method considerably reduces the calculation error regarding the rotor's bending stiffness—an inherent functional limitation of the 1D beam modeling.https://www.jstage.jst.go.jp/article/transjsme/80/816/80_2014dr0237/_pdf/-char/envibration of rotating bodymodelingflexible rotorbendingfinite element methodeigenvalue analysis |
| spellingShingle | Nobuaki NAGAE Tomonobu GOTO Accurate one dimensional beam modeling method for a rotor shaft with stepped cross-sections in the finite element method Nihon Kikai Gakkai ronbunshu vibration of rotating body modeling flexible rotor bending finite element method eigenvalue analysis |
| title | Accurate one dimensional beam modeling method for a rotor shaft with stepped cross-sections in the finite element method |
| title_full | Accurate one dimensional beam modeling method for a rotor shaft with stepped cross-sections in the finite element method |
| title_fullStr | Accurate one dimensional beam modeling method for a rotor shaft with stepped cross-sections in the finite element method |
| title_full_unstemmed | Accurate one dimensional beam modeling method for a rotor shaft with stepped cross-sections in the finite element method |
| title_short | Accurate one dimensional beam modeling method for a rotor shaft with stepped cross-sections in the finite element method |
| title_sort | accurate one dimensional beam modeling method for a rotor shaft with stepped cross sections in the finite element method |
| topic | vibration of rotating body modeling flexible rotor bending finite element method eigenvalue analysis |
| url | https://www.jstage.jst.go.jp/article/transjsme/80/816/80_2014dr0237/_pdf/-char/en |
| work_keys_str_mv | AT nobuakinagae accurateonedimensionalbeammodelingmethodforarotorshaftwithsteppedcrosssectionsinthefiniteelementmethod AT tomonobugoto accurateonedimensionalbeammodelingmethodforarotorshaftwithsteppedcrosssectionsinthefiniteelementmethod |