Wave cancellation conditions for the double impact of finite duration in an arbitrary structure

Konyukhov, Alexander 1
1 Institut für Mechanik (IFM), Karlsruher Institut für Technologie (KIT)

Abstract:

Resonance phenomena in impacting systems can be defined as an amplitude increasing during periodically applied impacts. Thewave cancellation phenomenon is defined as application of certain conditions to cancel the wave fully. The double impact system is defined as the application of the first impact with a certain duration τ and then the application of a counter impact in a certain time τ$_{1}$ such that the vibrations caused by the first impact are fully disappearing. In the current contribution this phenomenon is first studied for the simplest 1D bar vibration. The response function is introduced as a characteristic for such a phenomenon and, by studying its properties, it is possible to find both an impact duration time τ and an application time τ$_{1}$ for the counter impact leading to the wave cancellation. The result is generalized for any arbitrary homogeneous linear non-dissipative mechanical structure described by a semi-elliptic operator Lu. The counter impact can be determined in the same way as in the opposite direction. This general result is numerically illustrated for various operators Lu possessing relatively simple analytical solutions: for a simply supported and a clamped Bernoulli beam, for a fixed membrane and for a Kirchhoff plate. ... mehr

 Zugehörige Institution(en) am KIT Institut für Mechanik (IFM) Publikationstyp Zeitschriftenaufsatz Publikationsjahr 2020 Sprache Englisch Identifikator ISSN: 0001-5970, 1619-6937 KITopen-ID: 1000120014 Erschienen in Acta mechanica Verlag Springer Band 231 Seiten 2773–2798 Vorab online veröffentlicht am 21.05.2020 Nachgewiesen in DimensionsWeb of ScienceScopus
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