On non-linear dynamics of coupled 1+1DOF versus 1+1/2DOF Electro-Mechanical System

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceabstrakt i proceedingForskningpeer review

Resumé

The electro-mechanical systems (EMS) are used from nano-/micro-scale (NEMS/MEMS) up to macro-scale applications. From mathematical view point, they are modelled with the second order differential equation (or a set of equations) for mechanical system, which is nonlinearly coupled with the second or the first order differential equation (or a set of equations) for electrical system, depending on properties of the electrical circuit. For the sake of brevity, we assume a 1DOF mechanical system, coupled to 1 or 1/2DOF electrical system (depending whether the capacitance is, or is not considered). In the paper, authors perform a parametric study to identify operation regimes, where the capacitance term contributes to the non-linear behaviour of the coupled system. To accomplish this task, the classical method of multiple scales is used. The parametric study allows us to assess for which applications the capacitance term needs to be considered and in contrary, when the investigation of the coupled system can be simplified neglecting the capacitance of the electrical system and treating the electric circuit as a diffusion type system (i.e. contributing with 1/2DOF). The outcomes presented in this study can be generalized also for multi DOF systems.
OriginalsprogEngelsk
TitelAPM 2014: Advanced Problem in Mechanics : Book of Abstracts of the 42nd Summer School – Conference
RedaktørerD. A. Indeitsev, A. M. Krivtsov
Antal sider1
ForlagInstitute of Problems in Mechanical Enginering, Russian Academy of Sciences, St.Petersburg, Russia
Publikationsdato2014
StatusUdgivet - 2014
BegivenhedAPM 2014: Advanced Problem in Mechanics - St.Petersborg, Rusland
Varighed: 30 jun. 20145 jul. 2014
Konferencens nummer: 42nd

Konference

KonferenceAPM 2014: Advanced Problem in Mechanics
Nummer42nd
LandRusland
BySt.Petersborg
Periode30/06/201405/07/2014

Citer dette

Darula, R., & Sorokin, S. (2014). On non-linear dynamics of coupled 1+1DOF versus 1+1/2DOF Electro-Mechanical System. I D. A. Indeitsev, & A. M. Krivtsov (red.), APM 2014: Advanced Problem in Mechanics: Book of Abstracts of the 42nd Summer School – Conference Institute of Problems in Mechanical Enginering, Russian Academy of Sciences, St.Petersburg, Russia .
Darula, Radoslav ; Sorokin, Sergey. / On non-linear dynamics of coupled 1+1DOF versus 1+1/2DOF Electro-Mechanical System. APM 2014: Advanced Problem in Mechanics: Book of Abstracts of the 42nd Summer School – Conference . red. / D. A. Indeitsev ; A. M. Krivtsov. Institute of Problems in Mechanical Enginering, Russian Academy of Sciences, St.Petersburg, Russia , 2014.
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abstract = "The electro-mechanical systems (EMS) are used from nano-/micro-scale (NEMS/MEMS) up to macro-scale applications. From mathematical view point, they are modelled with the second order differential equation (or a set of equations) for mechanical system, which is nonlinearly coupled with the second or the first order differential equation (or a set of equations) for electrical system, depending on properties of the electrical circuit. For the sake of brevity, we assume a 1DOF mechanical system, coupled to 1 or 1/2DOF electrical system (depending whether the capacitance is, or is not considered). In the paper, authors perform a parametric study to identify operation regimes, where the capacitance term contributes to the non-linear behaviour of the coupled system. To accomplish this task, the classical method of multiple scales is used. The parametric study allows us to assess for which applications the capacitance term needs to be considered and in contrary, when the investigation of the coupled system can be simplified neglecting the capacitance of the electrical system and treating the electric circuit as a diffusion type system (i.e. contributing with 1/2DOF). The outcomes presented in this study can be generalized also for multi DOF systems.",
author = "Radoslav Darula and Sergey Sorokin",
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booktitle = "APM 2014: Advanced Problem in Mechanics",
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Darula, R & Sorokin, S 2014, On non-linear dynamics of coupled 1+1DOF versus 1+1/2DOF Electro-Mechanical System. i DA Indeitsev & AM Krivtsov (red), APM 2014: Advanced Problem in Mechanics: Book of Abstracts of the 42nd Summer School – Conference . Institute of Problems in Mechanical Enginering, Russian Academy of Sciences, St.Petersburg, Russia , APM 2014: Advanced Problem in Mechanics, St.Petersborg, Rusland, 30/06/2014.

On non-linear dynamics of coupled 1+1DOF versus 1+1/2DOF Electro-Mechanical System. / Darula, Radoslav; Sorokin, Sergey.

APM 2014: Advanced Problem in Mechanics: Book of Abstracts of the 42nd Summer School – Conference . red. / D. A. Indeitsev; A. M. Krivtsov. Institute of Problems in Mechanical Enginering, Russian Academy of Sciences, St.Petersburg, Russia , 2014.

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceabstrakt i proceedingForskningpeer review

TY - ABST

T1 - On non-linear dynamics of coupled 1+1DOF versus 1+1/2DOF Electro-Mechanical System

AU - Darula, Radoslav

AU - Sorokin, Sergey

PY - 2014

Y1 - 2014

N2 - The electro-mechanical systems (EMS) are used from nano-/micro-scale (NEMS/MEMS) up to macro-scale applications. From mathematical view point, they are modelled with the second order differential equation (or a set of equations) for mechanical system, which is nonlinearly coupled with the second or the first order differential equation (or a set of equations) for electrical system, depending on properties of the electrical circuit. For the sake of brevity, we assume a 1DOF mechanical system, coupled to 1 or 1/2DOF electrical system (depending whether the capacitance is, or is not considered). In the paper, authors perform a parametric study to identify operation regimes, where the capacitance term contributes to the non-linear behaviour of the coupled system. To accomplish this task, the classical method of multiple scales is used. The parametric study allows us to assess for which applications the capacitance term needs to be considered and in contrary, when the investigation of the coupled system can be simplified neglecting the capacitance of the electrical system and treating the electric circuit as a diffusion type system (i.e. contributing with 1/2DOF). The outcomes presented in this study can be generalized also for multi DOF systems.

AB - The electro-mechanical systems (EMS) are used from nano-/micro-scale (NEMS/MEMS) up to macro-scale applications. From mathematical view point, they are modelled with the second order differential equation (or a set of equations) for mechanical system, which is nonlinearly coupled with the second or the first order differential equation (or a set of equations) for electrical system, depending on properties of the electrical circuit. For the sake of brevity, we assume a 1DOF mechanical system, coupled to 1 or 1/2DOF electrical system (depending whether the capacitance is, or is not considered). In the paper, authors perform a parametric study to identify operation regimes, where the capacitance term contributes to the non-linear behaviour of the coupled system. To accomplish this task, the classical method of multiple scales is used. The parametric study allows us to assess for which applications the capacitance term needs to be considered and in contrary, when the investigation of the coupled system can be simplified neglecting the capacitance of the electrical system and treating the electric circuit as a diffusion type system (i.e. contributing with 1/2DOF). The outcomes presented in this study can be generalized also for multi DOF systems.

M3 - Conference abstract in proceeding

BT - APM 2014: Advanced Problem in Mechanics

A2 - Indeitsev, D. A.

A2 - Krivtsov, A. M.

PB - Institute of Problems in Mechanical Enginering, Russian Academy of Sciences, St.Petersburg, Russia

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Darula R, Sorokin S. On non-linear dynamics of coupled 1+1DOF versus 1+1/2DOF Electro-Mechanical System. I Indeitsev DA, Krivtsov AM, red., APM 2014: Advanced Problem in Mechanics: Book of Abstracts of the 42nd Summer School – Conference . Institute of Problems in Mechanical Enginering, Russian Academy of Sciences, St.Petersburg, Russia . 2014