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

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

Dynamics and Control

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

3 Downloads (Pure)

Samenvatting

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.

Originele taal-2	Engels
Titel	Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC 2017), 25-30 June 2017, Budapest, Hungary
Aantal pagina's	2
ISBN van elektronische versie	978-963-12-9168-1
Status	Gepubliceerd - 2017
Evenement	9th European Nonlinear Oscillations Conference (ENOC 2017) - Budapest University of Technology and Economics, Budapest, Hongarije Duur: 25 jun 2017 → 30 jun 2017 Congresnummer: 9 http://congressline.hu/enoc2017/

Congres

Congres	9th European Nonlinear Oscillations Conference (ENOC 2017)
Verkorte titel	ENOC 2017
Land	Hongarije
Stad	Budapest
Periode	25/06/17 → 30/06/17
Internet adres	http://congressline.hu/enoc2017/

Toegang tot document

http://congressline.hu/enoc2017/abstracts/76.pdf

Vingerafdruk Duik in de onderzoeksthema's van 'Switching between coexisting stable periodic solutions by impulsive forces with an application to a vibrating plate'. Samen vormen ze een unieke vingerafdruk.

Citeer dit

@inproceedings{e6131104c8e24ee78c5c14b27ea01027,

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

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.",

author = "D.W.M. Veldman and R.H.B. Fey and H.J. Zwart",

year = "2017",

language = "English",

booktitle = "Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC 2017), 25-30 June 2017, Budapest, Hungary",

note = "9th European Nonlinear Oscillations Conference (ENOC 2017), ENOC 2017 ; Conference date: 25-06-2017 Through 30-06-2017",

url = "http://congressline.hu/enoc2017/",

}

Veldman, DWM, Fey, RHB & Zwart, HJ 2017, Switching between coexisting stable periodic solutions by impulsive forces with an application to a vibrating plate. in Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC 2017), 25-30 June 2017, Budapest, Hungary., ID 76, 9th European Nonlinear Oscillations Conference (ENOC 2017), Budapest, Hongarije, 25/06/17. <http://congressline.hu/enoc2017/abstracts/76.pdf>

Switching between coexisting stable periodic solutions by impulsive forces with an application to a vibrating plate. / Veldman, D.W.M.; Fey, R.H.B.; Zwart, H.J.

Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC 2017), 25-30 June 2017, Budapest, Hungary. 2017. ID 76.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

TY - GEN

T1 - Switching between coexisting stable periodic solutions by impulsive forces with an application to a vibrating plate

AU - Veldman, D.W.M.

AU - Fey, R.H.B.

AU - Zwart, H.J.

N1 - Conference code: 9

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

M3 - Conference contribution

BT - Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC 2017), 25-30 June 2017, Budapest, Hungary

T2 - 9th European Nonlinear Oscillations Conference (ENOC 2017)

Y2 - 25 June 2017 through 30 June 2017

ER -