A mathematical solution for optimal balance weights is presented for single-plane, discrete weight and discrete adjustment point balance. The algorithm uses influence coefficients, either given or derived, and measured synchronous complex vibration data to determine the best adjustment. The solution has a user selected objective: minimum residual vibration or minimum number of adjustments to reach a given vibration. The algorithm is part of Goodrich’s Integrated Mechanical Diagnostics Health Usage Monitoring System (IMD HUMS), currently installed on a number of helicopter platforms.

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