Forced vibration of strongly-coupled structural systems connected by sub-structures
A novel method is presented to analyze the harmonic forced vibration of several main structures connected by sub-structures. Lagrange’s equations are used to develop equations of motion in terms of impedances, mobilities, and modal forces. Then, a frequency window method is used to reduce the complexity of the problem. The window contains resonance terms which are analyzed in detail. The remaining terms outside the window are slowly varying with respect to the forcing frequency and are analyzed with less detail. This approach is efficient because computational effort is concentrated on the most important terms in the response. With the same computational effort, it is possible to include more total modes in the frequency window method than in the standard mode truncation approach.
KeywordsMode Shape Excitation Frequency Main Structure Forced Vibration Main Beam
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