Constrained Balancing of Two Industrial Rotor Systems: Least Squares and Min-Max Approaches
Rotor vibrations caused by rotor mass unbalance distributions are a major source of maintenance problems in high-speed rotating machinery. Minimizing this vibration by balancing under practical constraints is quite important to industry. This paper considers balancing of two large industrial rotor s...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2009-0451 |
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| _version_ | 1849692997341413376 |
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| author | Bin Huang Daiki Fujimura Paul Allaire Zongli Lin Guoxin Li |
| author_facet | Bin Huang Daiki Fujimura Paul Allaire Zongli Lin Guoxin Li |
| author_sort | Bin Huang |
| collection | DOAJ |
| description | Rotor vibrations caused by rotor mass unbalance distributions are a major source of maintenance problems in high-speed rotating machinery. Minimizing this vibration by balancing under practical constraints is quite important to industry. This paper considers balancing of two large industrial rotor systems by constrained least squares and min-max balancing methods. In current industrial practice, the weighted least squares method has been utilized to minimize rotor vibrations for many years. One of its disadvantages is that it cannot guarantee that the maximum value of vibration is below a specified value. To achieve better balancing performance, the min-max balancing method utilizing the Second Order Cone Programming (SOCP) with the maximum correction weight constraint, the maximum residual response constraint as well as the weight splitting constraint has been utilized for effective balancing. The min-max balancing method can guarantee a maximum residual vibration value below an optimum value and is shown by simulation to significantly outperform the weighted least squares method. |
| format | Article |
| id | doaj-art-9122e3038df94a4a8e36a9b9df0fb167 |
| institution | DOAJ |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-9122e3038df94a4a8e36a9b9df0fb1672025-08-20T03:20:33ZengWileyShock and Vibration1070-96221875-92032009-01-0116111210.3233/SAV-2009-0451Constrained Balancing of Two Industrial Rotor Systems: Least Squares and Min-Max ApproachesBin Huang0Daiki Fujimura1Paul Allaire2Zongli Lin3Guoxin Li4Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA 22904-4743, USACommissioning & Testing Section, Power Plant Construction Department, Takasago Machinery Works, Mitsubishi Heavy Industries Ltd., 2-1-1 Shinhama Arai-cho Takasago Hyogo, 676-8686, JapanDepartment of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA 22904-4746, USACharles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA 22904-4743, USADepartment of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA 22904-4746, USARotor vibrations caused by rotor mass unbalance distributions are a major source of maintenance problems in high-speed rotating machinery. Minimizing this vibration by balancing under practical constraints is quite important to industry. This paper considers balancing of two large industrial rotor systems by constrained least squares and min-max balancing methods. In current industrial practice, the weighted least squares method has been utilized to minimize rotor vibrations for many years. One of its disadvantages is that it cannot guarantee that the maximum value of vibration is below a specified value. To achieve better balancing performance, the min-max balancing method utilizing the Second Order Cone Programming (SOCP) with the maximum correction weight constraint, the maximum residual response constraint as well as the weight splitting constraint has been utilized for effective balancing. The min-max balancing method can guarantee a maximum residual vibration value below an optimum value and is shown by simulation to significantly outperform the weighted least squares method.http://dx.doi.org/10.3233/SAV-2009-0451 |
| spellingShingle | Bin Huang Daiki Fujimura Paul Allaire Zongli Lin Guoxin Li Constrained Balancing of Two Industrial Rotor Systems: Least Squares and Min-Max Approaches Shock and Vibration |
| title | Constrained Balancing of Two Industrial Rotor Systems: Least Squares and Min-Max Approaches |
| title_full | Constrained Balancing of Two Industrial Rotor Systems: Least Squares and Min-Max Approaches |
| title_fullStr | Constrained Balancing of Two Industrial Rotor Systems: Least Squares and Min-Max Approaches |
| title_full_unstemmed | Constrained Balancing of Two Industrial Rotor Systems: Least Squares and Min-Max Approaches |
| title_short | Constrained Balancing of Two Industrial Rotor Systems: Least Squares and Min-Max Approaches |
| title_sort | constrained balancing of two industrial rotor systems least squares and min max approaches |
| url | http://dx.doi.org/10.3233/SAV-2009-0451 |
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