In this study, we investigate the random vibrations of a point-driven two-span beam of length 2L on a linear elastic foundation. The normal mode approach is utilized. The natural frequencies are falling in two groups: the first group corresponds to the beam of length L that is simply supported at its ends; the second group is associated with the beam of length L that is simply supported at one end and clamped at the other end. The mean-square velocity of the beam is written in terms of auto- and cross-correlations within groups, as well as in terms of cross-correlations between the modes of two groups. In addition, the two-span beam experiences the clustering of frequencies with increased modal density. The effect of cross-correlations between the modal responses corresponding to closely spaced natural frequencies turns out to be extremely significant.

Random vibration of a point-driven two-span beam on an elastic foundation

SANTORO, Roberta
2014-01-01

Abstract

In this study, we investigate the random vibrations of a point-driven two-span beam of length 2L on a linear elastic foundation. The normal mode approach is utilized. The natural frequencies are falling in two groups: the first group corresponds to the beam of length L that is simply supported at its ends; the second group is associated with the beam of length L that is simply supported at one end and clamped at the other end. The mean-square velocity of the beam is written in terms of auto- and cross-correlations within groups, as well as in terms of cross-correlations between the modes of two groups. In addition, the two-span beam experiences the clustering of frequencies with increased modal density. The effect of cross-correlations between the modal responses corresponding to closely spaced natural frequencies turns out to be extremely significant.
2014
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/2686171
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