Switching between coexisting stable periodic solutions by impulsive forces with an application to a vibrating plate

D.W.M. Veldman, R.H.B. Fey, H.J. Zwart

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Abstract

Single-degree-of-freedom nonlinear mechanical systems under periodic excitation may possess coexisting stable periodic solutions. Depending on the application, one of these stable periodic solutions is desired. We propose two algorithms to design an impulsive force that will bring the system from an undesired to a desired stable periodic solution. Both algorithms have a variant that requires only limited information about the applied force. We illustrate our method for a single-degree-of-freedom model of a rectangular plate with geometric nonlinearity, which takes the form of a monostable forced Duffing equation with hardening nonlinearity.
Original languageEnglish
Title of host publicationProceedings of the 9th European Nonlinear Dynamics Conference (ENOC 2017), 25-30 June 2017, Budapest, Hungary
Number of pages2
ISBN (Electronic)978-963-12-9168-1
Publication statusPublished - 2017
Event9th European Nonlinear Oscillations Conference (ENOC 2017) - Budapest University of Technology and Economics, Budapest, Hungary
Duration: 25 Jun 201730 Jun 2017
Conference number: 9
http://congressline.hu/enoc2017/

Conference

Conference9th European Nonlinear Oscillations Conference (ENOC 2017)
Abbreviated titleENOC 2017
CountryHungary
CityBudapest
Period25/06/1730/06/17
Internet address

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