Thermomechanical Self-Excited Oscillations of Current-Carrying Conductors

Fel'dshtein, V. A.

doi:10.1134/s0021894417060153

Cited by 3 publications

(2 citation statements)

References 2 publications

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“…To show that the loss of stability in constant speed cutting is due to thermomechanical selfexcited oscillations authors Astashev and Korendyasev [7] investigated the model of heat generation in the cutting region. Fel'dshtein [8] investigates self-excited thermomechanical oscillations of current-carrying wires by determining the existence conditions and describing them by numerical simulations. Toda et al [9], using the Barenblatt model, investigate thermomechanical self-excited oscillations that occur during cold drawing of films.…”

Section: Introductionmentioning

confidence: 99%

Study of Self-Excited Thermomechanical Oscillator with Shape Memory Alloys

Yotov,

Todorov,

Todorov

2024

Preprint

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In this paper, a new type of self-excited thermomechanical oscillator containing an oscillating shape memory alloy (SMA) filament with two symmetrically arranged spheres is investigated. The self-excitation of the oscillations is due to a heater of constant temperature, which causes periodic contractions of the filament when it approaches it. The contracted filament moves away from the heater a distance sufficient to cool it. Under the action of the weight of the spheres, the cooled filament re-approaches the heater, causing the above processes to repeat periodically. On the basis of experimental studies, approximating functions of the heater's heat field distribution are derived. A dynamic model of the oscillator has been created, in which the minor and major hysteresis in the SMA alloy and the distribution of the heat field around the heater have been taken into account. By numerical solutions of the differential equations, the laws of motion of the spheres are obtained. The displacements of the spheres in two perpendicular directions were measured using an experimental system. The obtained experimental results validate the proposed dynamic model and its assumptions with a high degree of confidence. Conclusions are drawn about the stochastic nature of the oscillations due to the hysteresis properties of the SMA and the temperature variation of the natural frequency of the oscillating system.

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Section: Introductionmentioning

confidence: 99%

Study of Self-Excited Thermomechanical Oscillator with Shape Memory Alloys

Yotov,

Todorov,

Todorov

2024

Preprint

View full text Add to dashboard Cite

show abstract

“…To show that the loss of stability in constant speed cutting is due to thermomechanical self-excited oscillations, authors Astashev and Korendyasev [7] investigated the model of heat generation in the cutting region. Fel'dshtein [8] investigated Actuators 2024, 13, 182 2 of 18 self-excited thermomechanical oscillations of current-carrying wires by determining the existence conditions and describing them by numerical simulations. Toda et al [9], using the Barenblatt model, investigated the thermomechanical self-excited oscillations that occur during cold drawing of films.…”

Section: Introductionmentioning

confidence: 99%

Study of Self-Excited Thermomechanical Oscillator with Shape Memory Alloys

Yotov,

Todorov,

Todorov

2024

Actuators

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In this paper, a new type of self-excited thermomechanical oscillator containing an oscillating shape memory alloy (SMA) filament with two symmetrically arranged spheres is investigated. The self-excitation of the oscillations is due to a heater of constant temperature, which causes periodic contractions of the filament when it approaches it. The contracted filament moves away from the heater a distance sufficient to cool it. Under the action of the weight of the spheres, the cooled filament re-approaches the heater, causing the above processes to repeat periodically. On the basis of experimental studies, approximating functions of the heater’s heat field distribution are derived. A dynamic model of the oscillator has been created, in which the minor and major hysteresis in the SMA alloy and the distribution of the heat field around the heater have been taken into account. Through numerical solutions of the differential equations, the laws of motion of the spheres are obtained. The displacements of the spheres in two perpendicular directions were measured using an experimental system. The obtained experimental results validate the proposed dynamic model and its assumptions with a high degree of confidence. Conclusions are drawn about the stochastic nature of the oscillations due to the hysteresis properties of the SMA and the temperature variation of the natural frequency of the oscillating system.

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Model of Thermomechanical Vibrations of Current-Carrying Conductors

Данилин¹,

Onuchin²,

Feldshteyn³

2022

IJCCSE

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In the operation practice of overhead power transmission lines (OHL), the phenomenon of "galloping" of conductors is well known – vibrations with frequencies of ~ 1 Hz and with amplitudes of the order of the static sag [1, 2]. This phenomenon is observed, as a rule, when the symmetry of the conductor section is violated due to icy deposits, which gives the conductor some aerodynamic efficiency. However, this model does not explain all the observed cases of galloping. In this regard, it is advisable to pay attention to the little-known experience of Academician Abram F. Ioffe, who experimentally discovered the self-excitation of a current-carrying conductor – a stretched string that heats up when connected to an electrical circuit. Solving this issue can significantly expand the understanding of the nature of conductor galloping and open up new ways to fend off this phenomenon, which poses a danger to the stability of the functioning of energy systems. This requires a mathematical model of the OHL conductor describing the interaction of mechanical and thermal processes. The purpose of this work is to construct the simplest version of this model, on the basis of which the condition of self-excitation of thermomechanical self-excitation of real OHL conductors can be justified.

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Thermomechanical Self-Excited Oscillations of Current-Carrying Conductors

Cited by 3 publications

References 2 publications

Study of Self-Excited Thermomechanical Oscillator with Shape Memory Alloys

Study of Self-Excited Thermomechanical Oscillator with Shape Memory Alloys

Study of Self-Excited Thermomechanical Oscillator with Shape Memory Alloys

Model of Thermomechanical Vibrations of Current-Carrying Conductors

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