An iterative procedure is presented for the balancing of a flexible rotor. In addition to determining optimal correction weights, the number and axial positions of the balance planes are optimized. A linear programming solution is employed using a linearized approximation of the axial variation of the influence coefficients. First the correction weights are found and then the axial locations of the balance planes are adjusted. These computations are repeated until the optimal values that lead to minimum rotor runout are determined. Numerical results are discussed.

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