Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-9694
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dc.contributor.authorNoll, Max-Uwe-
dc.contributor.authorLentz, Lukas-
dc.contributor.authorWagner, Utz von-
dc.date.accessioned2020-02-18T08:22:32Z-
dc.date.available2020-02-18T08:22:32Z-
dc.date.issued2019-
dc.identifier.issn0354-2025-
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/10798-
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-9694-
dc.description.abstractA typical setup for energy harvesting is that of a cantilever beam with piezoceramics excited by ambient base vibrations. In order to get higher energy output for a wide range of excitation frequencies, often a nonlinearity is introduced by intention in that way, that two magnets are fixed close to the free tip of the beam. Depending on strength and position of the magnets, this can either result in a mono-, bi- or tristable system. In our study, we focus on a bistable system. Such systems have been investigated thoroughly in literature while in almost all cases the beam has been discretized by a single shape function, in general the first eigenshape of the linear beam with undeflected stable equilibrium position. There can be some doubts about the suitability of a discretization by a single shape function mainly due to two reasons. First: In case of stochastic broadband excitations a discretization, taking into consideration just the first vibration shape seems not to be reasonable. Second: as the undeflected position of the considered system is unstable and the system significantly nonlinear, the question arises, if using just one eigenshape of the linear beam is a suitable approximation of the operation shapes during excited oscillations even in the case of harmonic excitation. Are there other, e.g. amplitude dependent, possibilities and/or should multiple ansatz functions be considered instead? In this paper, we focus mainly on the second point. Therefore, a bistable cantilever beam with harmonic base excitation is considered and experimental investigations of operation shapes are performed using a high-speed camera. The observed operation shapes are expanded in a similar way as it is done in a theoretical analysis by a corresponding mixed Ritz ansatz. The results show the existence of distinct superharmonics (as one can expect for a nonlinear system) but additionally the necessity to use more than one shape function in the discretization, covering also the amplitude dependence of the observed operation shapes.en
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subject.ddc620 Ingenieurwissenschaften und zugeordnete Tätigkeitende
dc.subject.otherbistable beamen
dc.subject.otherenergy harvestingen
dc.subject.otherdiscretizationen
dc.subject.othervibration shapeen
dc.subject.otheranalysisen
dc.subject.otherhigh speed cameraen
dc.titleOn the discretization of a bistable cantilever beam with application to energy harvestingen
dc.typeArticleen
tub.accessrights.dnbfreeen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
dc.identifier.eissn2335-0164-
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.22190/FUME190301031Nen
dcterms.bibliographicCitation.journaltitleFacta Universitatis. Series Mechanical Engineeringen
dcterms.bibliographicCitation.originalpublisherplaceNišen
dcterms.bibliographicCitation.volume17en
dcterms.bibliographicCitation.pageend139en
dcterms.bibliographicCitation.pagestart125en
dcterms.bibliographicCitation.originalpublishernameUniversity of Nišen
dcterms.bibliographicCitation.issue2en
Appears in Collections:FG Mechatronische Maschinendynamik » Publications

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