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UID:436-1612876500-1612876500@research.reading.ac.uk
SUMMARY:Post-grazing dynamics of a vibro-impacting energy generator
DESCRIPTION:Larissa Serdukova\, PDRA in Mathematics of Planet Earth – Project TiPES\, will be presenting ‘Post-grazing dynamics of a vibro-impacting energy generator’ as part of the University of Bath’s AIMS seminar series on Tuesday 9th February at 1.15pm. \nZoom Meeting\nhttps://bath-ac-uk.zoom.us/j/98901674720?pwd=VXFac3Vqc1o2SU85WG9Gc29EQ\nMeeting ID: 989 0167 4720\nPasscode: 641774 \nThe motion of a forced vibro-impacting inclined energy harvester is investigated in parameter regimes with asymmetry in the number of impacts on the bottom and top of the device. This motion occurs beyond a grazing bifurcation\, at which alternating top and bottom impacts are supplemented by a zero velocity impact with the bottom of the device. For periodic forcing\, we obtain semi-analytical expressions for the asymmetric periodic motion with a ratio of 2:1 for the impacts on the device bottom and top\, respectively. These expressions are derived via a set of nonlinear maps between different pairs of impacts\, combined with impact conditions that provide jump discontinuities in the velocity. Bifurcation diagrams for the analytical solutions are complemented by a linear stability analysis around the 2:1 asymmetric periodic solutions and are validated numerically. For smaller incline angles\, a second grazing bifurcation is numerically detected\, leading to a 3:1 asymmetry. For larger incline angles\, period doubling bifurcations precede grazing bifurcations. The converted electrical energy per impact is reduced for the asymmetric motions\, and therefore less desirable under this metric.
URL:https://research.reading.ac.uk/cmpe/event/post-grazing-dynamics-of-a-vibro-impacting-energy-generator/
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