On the Free Vibration Modeling of Spindle Systems: A Calibrated Dynamic Stiffness Matrix
The effect of bearings on the vibrational behavior of machine tool spindles is investigated. This is done through the development of a calibrated dynamic stiffness matrix (CDSM) method, where the bearings flexibility is represented by massless linear spring elements with tuneable stiffness. A dedica...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/787518 |
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| author | Omar Gaber Seyed M. Hashemi |
| author_facet | Omar Gaber Seyed M. Hashemi |
| author_sort | Omar Gaber |
| collection | DOAJ |
| description | The effect of bearings on the vibrational behavior of machine tool spindles is investigated. This is done through the development of a calibrated dynamic stiffness matrix (CDSM) method, where the bearings flexibility is represented by massless linear spring elements with tuneable stiffness. A dedicated MATLAB code is written to develop and to assemble the element stiffness matrices for the system’s multiple components and to apply the boundary conditions. The developed method is applied to an illustrative example of spindle system. When the spindle bearings are modeled as simply supported boundary conditions, the DSM model results in a fundamental frequency much higher than the system’s nominal value. The simply supported boundary conditions are then replaced by linear spring elements, and the spring constants are adjusted such that the resulting calibrated CDSM model leads to the nominal fundamental frequency of the spindle system. The spindle frequency results are also validated against the experimental data. The proposed method can be effectively applied to predict the vibration characteristics of spindle systems supported by bearings. |
| format | Article |
| id | doaj-art-1dbe9ea94d304429a6e2bd56cd18d015 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-1dbe9ea94d304429a6e2bd56cd18d0152025-02-03T05:48:17ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/787518787518On the Free Vibration Modeling of Spindle Systems: A Calibrated Dynamic Stiffness MatrixOmar Gaber0Seyed M. Hashemi1Department of Aerospace Engineering, Ryerson University, 350 Victoria Street, Toronto, ON, M5B 2K3, CanadaDepartment of Aerospace Engineering, Ryerson University, 350 Victoria Street, Toronto, ON, M5B 2K3, CanadaThe effect of bearings on the vibrational behavior of machine tool spindles is investigated. This is done through the development of a calibrated dynamic stiffness matrix (CDSM) method, where the bearings flexibility is represented by massless linear spring elements with tuneable stiffness. A dedicated MATLAB code is written to develop and to assemble the element stiffness matrices for the system’s multiple components and to apply the boundary conditions. The developed method is applied to an illustrative example of spindle system. When the spindle bearings are modeled as simply supported boundary conditions, the DSM model results in a fundamental frequency much higher than the system’s nominal value. The simply supported boundary conditions are then replaced by linear spring elements, and the spring constants are adjusted such that the resulting calibrated CDSM model leads to the nominal fundamental frequency of the spindle system. The spindle frequency results are also validated against the experimental data. The proposed method can be effectively applied to predict the vibration characteristics of spindle systems supported by bearings.http://dx.doi.org/10.1155/2014/787518 |
| spellingShingle | Omar Gaber Seyed M. Hashemi On the Free Vibration Modeling of Spindle Systems: A Calibrated Dynamic Stiffness Matrix Shock and Vibration |
| title | On the Free Vibration Modeling of Spindle Systems: A Calibrated Dynamic Stiffness Matrix |
| title_full | On the Free Vibration Modeling of Spindle Systems: A Calibrated Dynamic Stiffness Matrix |
| title_fullStr | On the Free Vibration Modeling of Spindle Systems: A Calibrated Dynamic Stiffness Matrix |
| title_full_unstemmed | On the Free Vibration Modeling of Spindle Systems: A Calibrated Dynamic Stiffness Matrix |
| title_short | On the Free Vibration Modeling of Spindle Systems: A Calibrated Dynamic Stiffness Matrix |
| title_sort | on the free vibration modeling of spindle systems a calibrated dynamic stiffness matrix |
| url | http://dx.doi.org/10.1155/2014/787518 |
| work_keys_str_mv | AT omargaber onthefreevibrationmodelingofspindlesystemsacalibrateddynamicstiffnessmatrix AT seyedmhashemi onthefreevibrationmodelingofspindlesystemsacalibrateddynamicstiffnessmatrix |