Modal truncation issues in synthesis procedures for vibratory power flow and dissipation

Truncation of component modes in synthesis techniques may cause significant errors in the calculation of localized harmonic vibration responses and power flows. Two alternate approaches are proposed to reduce the effects of such errors, and the third approach which combines both with mixed analytical orthonormal bases has been found to be most successful. These concepts are integrated in mobility and modal methods of computing accelerances, input power, transmitted power, and modal dissipation efficiency spectra. Two example cases, namely, the T‐beam and a plate–beam structure, are utilized for comparative evaluation of truncation effects. Limited experimental results verify the proposed calculation procedure.