### Abstract

Research relevance. The area of mechatronic systems use is constantly expanding. Depending on their purposes the control of different modes of motion using appropriate neural networks is needed. The development of new types of actuators and sensors is a vital scientific challenge. The research is aimed at the dynamics study of an elastically suspended toroidal actuator with electric capacity as a control parameter. Research methods. The authors have obtained and solved differential equations of motion for free and forced vibrations of the system. Theoretical study is based on the experiment in which the longitudinal motion of the toroid with current in a magnetic field pair is observed, motion analysis is based on the differential equation. Results. The paper describes theoretically free and forced vibrations of the toroidal actuator in a potential magnetic field in the presence of a capacitor in an electric circuit. The authors consider the special case when a potential magnetic field is stationary and homogeneous and determine the magnetic force acting on the toroid with current in a potential magnetic field in the presence of the capacitor in the external circuit. It was found that this force is proportional to the acceleration of the toroid and it is directed along the axis. Conclusion. The capacitive parameter reduces the system quasi-inertial coefficient. From the differential equations of natural vibrations of the system, the value of the natural frequency at the electromagnetic influence is determined. In the particular example the compared this frequency with the frequency in the absence of magnetic forces. The conclusion was made on possibility of adjusting the natural frequency of the electromagnetic system using capacitive parameter. From the differential equation of the forced oscillations the authors obtained the formula for calculating the resonant electric capacity. The results of theoretical research can be used to develop mechatronic systems with a toroidal actuator. The eigen frequencies of such systems can be conveniently controlled by adjusting the capacitance parameter included in the circuit.

Original language | English |
---|---|

Pages (from-to) | 122-127 |

Number of pages | 6 |

Journal | Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering |

Volume | 326 |

Issue number | 6 |

Publication status | Published - 1 Jan 2015 |

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### Keywords

- Electrical capacitance
- Magnetic force
- Oscillation frequency
- Resonance
- Toroid
- Vibrations of elastic systems

### ASJC Scopus subject areas

- Materials Science (miscellaneous)
- Fuel Technology
- Geotechnical Engineering and Engineering Geology
- Waste Management and Disposal
- Economic Geology
- Management, Monitoring, Policy and Law

### Cite this

*Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering*,

*326*(6), 122-127.

**Control of mechatronic system longitudinal vibrations using capacitive parameter.** / Tomilin, Aleksandr K.; Prokopenko, Elena V.

Research output: Contribution to journal › Article

*Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering*, vol. 326, no. 6, pp. 122-127.

}

TY - JOUR

T1 - Control of mechatronic system longitudinal vibrations using capacitive parameter

AU - Tomilin, Aleksandr K.

AU - Prokopenko, Elena V.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - Research relevance. The area of mechatronic systems use is constantly expanding. Depending on their purposes the control of different modes of motion using appropriate neural networks is needed. The development of new types of actuators and sensors is a vital scientific challenge. The research is aimed at the dynamics study of an elastically suspended toroidal actuator with electric capacity as a control parameter. Research methods. The authors have obtained and solved differential equations of motion for free and forced vibrations of the system. Theoretical study is based on the experiment in which the longitudinal motion of the toroid with current in a magnetic field pair is observed, motion analysis is based on the differential equation. Results. The paper describes theoretically free and forced vibrations of the toroidal actuator in a potential magnetic field in the presence of a capacitor in an electric circuit. The authors consider the special case when a potential magnetic field is stationary and homogeneous and determine the magnetic force acting on the toroid with current in a potential magnetic field in the presence of the capacitor in the external circuit. It was found that this force is proportional to the acceleration of the toroid and it is directed along the axis. Conclusion. The capacitive parameter reduces the system quasi-inertial coefficient. From the differential equations of natural vibrations of the system, the value of the natural frequency at the electromagnetic influence is determined. In the particular example the compared this frequency with the frequency in the absence of magnetic forces. The conclusion was made on possibility of adjusting the natural frequency of the electromagnetic system using capacitive parameter. From the differential equation of the forced oscillations the authors obtained the formula for calculating the resonant electric capacity. The results of theoretical research can be used to develop mechatronic systems with a toroidal actuator. The eigen frequencies of such systems can be conveniently controlled by adjusting the capacitance parameter included in the circuit.

AB - Research relevance. The area of mechatronic systems use is constantly expanding. Depending on their purposes the control of different modes of motion using appropriate neural networks is needed. The development of new types of actuators and sensors is a vital scientific challenge. The research is aimed at the dynamics study of an elastically suspended toroidal actuator with electric capacity as a control parameter. Research methods. The authors have obtained and solved differential equations of motion for free and forced vibrations of the system. Theoretical study is based on the experiment in which the longitudinal motion of the toroid with current in a magnetic field pair is observed, motion analysis is based on the differential equation. Results. The paper describes theoretically free and forced vibrations of the toroidal actuator in a potential magnetic field in the presence of a capacitor in an electric circuit. The authors consider the special case when a potential magnetic field is stationary and homogeneous and determine the magnetic force acting on the toroid with current in a potential magnetic field in the presence of the capacitor in the external circuit. It was found that this force is proportional to the acceleration of the toroid and it is directed along the axis. Conclusion. The capacitive parameter reduces the system quasi-inertial coefficient. From the differential equations of natural vibrations of the system, the value of the natural frequency at the electromagnetic influence is determined. In the particular example the compared this frequency with the frequency in the absence of magnetic forces. The conclusion was made on possibility of adjusting the natural frequency of the electromagnetic system using capacitive parameter. From the differential equation of the forced oscillations the authors obtained the formula for calculating the resonant electric capacity. The results of theoretical research can be used to develop mechatronic systems with a toroidal actuator. The eigen frequencies of such systems can be conveniently controlled by adjusting the capacitance parameter included in the circuit.

KW - Electrical capacitance

KW - Magnetic force

KW - Oscillation frequency

KW - Resonance

KW - Toroid

KW - Vibrations of elastic systems

UR - http://www.scopus.com/inward/record.url?scp=85018930864&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018930864&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85018930864

VL - 326

SP - 122

EP - 127

JO - Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering

JF - Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering

SN - 2500-1019

IS - 6

ER -