The Mechanics of Jointed Structures by Matthew R. W. Brake

Author:Matthew R. W. Brake
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Fig. 20.9Spatio-temporal variations of for the bolted beam; the cross-line in each plot indicates the time instants of vanishing signals due to damping

As in the monolithic case, a vanishing IMO signal causes artificial oscillatory behavior in the computed forcing amplitudes, especially for the fifth and sixth IMOs. Nevertheless, the other IMO as well as the initial parts of the fifth and sixth IMOs clearly demonstrate the effect of friction and mismatch compared to the linear theoretical predictions. Moreover, by computing the variations of the slopes of the filtered results in Fig. 20.8, estimates for the variations of equivalent viscous damping ratios due to the frictional nonlinearity can be derived, and quantitative estimates of the nonlinear effects on each IMO (mode) of the structural response can be obtained. This result will be used in the next subsection to study the spatial distribution of the nonlinear effects across the length of the bolted beam at different levels of impulsive excitation.

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