SQP algorithms in balancing rotating machinery

Increased running speeds and the requirement for rotating machinery to operate within specified levels of vibration mean that the control of machinery vibration is essential in today's industry. In this paper, the flexible rotor balancing problem based on the influence coefficient method and holospectrum technique is formulated as a minimax optimisation problem. This formulation can solve the minimax high-speed rotating machinery's balancing problem under practical balancing constraints effectively while ensuring the balancing machinery runs up safely. Sequential Quadratic Programming (SQP) method is employed to solve the minimax balancing problem. An experimental and a real world balancing example are given to demonstrate the effect of this formulation. The performance of SQP is compared with that of other established approaches; some conclusions are derived.