An Optimal Shaft Balance Solution Using Integer Programming

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.Copyright © 2003 by ASME