A systematic method based on optimization techniques has been developed to determine locations of masses required to reduce the vibration level at an arbitrary location on a structure. The method is demonstrated using a simply supported beam driven by a harmonic point force. In the analysis, the masses on the beam are modeled as simple inertial reactions providing transverse forces to the beam. A technique based on the theory of demodulation in side band receivers is used to extract the global displacement amplitude, called the envelope displacement. This envelope displacement serves as the objective function in the optimization procedure. The observed phenomenon in mass-loaded beam vibration is discussed using modal participation coefficients and the modal coupling index. Results show that the displacement response and the structural power-flow can be reduced or controlled due to the presence of the masses in an optimal arrangement. A simple but practical experiment was designed to verify the theoretical solutions for a specific mass-loaded beam. Comparisons of the results from the theoretical and experimental analyses show good agreement. (C) 1995 Academic Press Limited [References: 12]
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