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

Research output: Contribution to book/anthology/report/conference proceedingConference abstract in proceedingResearchpeer-review

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.
Original languageEnglish
Title of host publicationAPM 2014: Advanced Problem in Mechanics : Book of Abstracts of the 42nd Summer School – Conference
EditorsD. A. Indeitsev, A. M. Krivtsov
Number of pages1
PublisherInstitute of Problems in Mechanical Enginering, Russian Academy of Sciences, St.Petersburg, Russia
Publication date2014
Publication statusPublished - 2014
EventAPM 2014: Advanced Problem in Mechanics - St.Petersborg, Russian Federation
Duration: 30 Jun 20145 Jul 2014
Conference number: 42nd

Conference

ConferenceAPM 2014: Advanced Problem in Mechanics
Number42nd
CountryRussian Federation
CitySt.Petersborg
Period30/06/201405/07/2014

Cite this

Darula, R., & Sorokin, S. (2014). On non-linear dynamics of coupled 1+1DOF versus 1+1/2DOF Electro-Mechanical System. In D. A. Indeitsev, & A. M. Krivtsov (Eds.), 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 . editor / D. A. Indeitsev ; A. M. Krivtsov. Institute of Problems in Mechanical Enginering, Russian Academy of Sciences, St.Petersburg, Russia , 2014.
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Darula, R & Sorokin, S 2014, On non-linear dynamics of coupled 1+1DOF versus 1+1/2DOF Electro-Mechanical System. in DA Indeitsev & AM Krivtsov (eds), 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, Russian Federation, 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 . ed. / D. A. Indeitsev; A. M. Krivtsov. Institute of Problems in Mechanical Enginering, Russian Academy of Sciences, St.Petersburg, Russia , 2014.

Research output: Contribution to book/anthology/report/conference proceedingConference abstract in proceedingResearchpeer-review

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

AU - Darula, Radoslav

AU - Sorokin, Sergey

PY - 2014

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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.

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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. In Indeitsev DA, Krivtsov AM, editors, 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