Abstract
Vibration transmission analysis is significant for the functionality, safety and amenity of many engineering structures. The present research aims to reveal the importance of applying the concept of surface mobility in predicting the vibration transmission of a beam-stiffened plate, which is one of the simplest but most important structural elements in engineering practice. First, a theoretical framework is established to analyze the surface mobility of an infinite beam-stiffened plate excited by a uniform contact force and then validated. With this scheme, one can easily reveal that the stiffened beam can reduce the vibration transmission of the plate with low Helmholtz number (<5) but may amplify it when that number increases. The present investigation also reveals that crossed and infinite equidistant uniformly-spaced parallel stiffened beams can reduce more vibration of the plate than parallel stiffened beams. Finally, analyses are conducted to determine when engineers should employ surface mobility, instead of point mobility, to describe the vibration transmission ability of beam-stiffened plates. Comparing with parallel layout of beams, the crossed layout of beams can decrease the difference between the point and surface mobility of the plate. Differences between the surface and point mobility of the plate become less obvious with the increase of the stiffness and the mass of the beam but it does not always decline with the increase of the number of beams.
Published Version
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