Constrained balancing of two industrial rotor systems: Least squares and min-max approaches

Article type: Research Article

Authors: Huang, Bin | Fujimura, Daiki | Allaire, Paul | Lin, Zongli | Li, Guoxin

Affiliations: Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA 22904-4743, USA | Commissioning & Testing Section, Power Plant Construction Department, Takasago Machinery Works, Mitsubishi Heavy Industries, Ltd., 2-1-1 Shinhama Arai-cho Takasago Hyogo, 676-8686, Japan | Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA 22904-4746, USA

Note: [] Corresponding author. Tel.: +1 434 924 6342; Fax: +1 434 924 8818; E-mail: [email protected]

Abstract: 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.

DOI: 10.3233/SAV-2009-0451

Journal: Shock and Vibration, vol. 16, no. 1, pp. 1-12, 2009