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On the Applicability Boundaries of the Pocklington and Gallen Equations in Modelling of Electric Vibrators.

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Title: On the Applicability Boundaries of the Pocklington and Gallen Equations in Modelling of Electric Vibrators.
Authors: Boykov, I. V.1 (AUTHOR) boikov@pnzgu.ru, Aikashev, P. V.1 (AUTHOR)
Source: Technical Physics. Jan2024, Vol. 69 Issue 1, p37-46. 10p.
Subjects: Vibrators, Mathematical instruments, Integral equations, Equations
Abstract: At present, the Pocklington integro-differential equation and the Gallen integral equations are one of the main mathematical instruments used in modelling of electric vibrators with various topologies. When deriving these equations, several physical assumptions have been made. In particular, it was assumed that the current values at the ends of the vibrator are equal to zero. In this article, we determine the values of ratio "gap width/vibrator length," for which this assumption is admissible. [ABSTRACT FROM AUTHOR]
Copyright of Technical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="DE" term="%22Vibrators%22">Vibrators</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+instruments%22">Mathematical instruments</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+equations%22">Integral equations</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink>
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  Data: At present, the Pocklington integro-differential equation and the Gallen integral equations are one of the main mathematical instruments used in modelling of electric vibrators with various topologies. When deriving these equations, several physical assumptions have been made. In particular, it was assumed that the current values at the ends of the vibrator are equal to zero. In this article, we determine the values of ratio "gap width/vibrator length," for which this assumption is admissible. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Technical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1134/S1063784224700282
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      – Code: eng
        Text: English
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      – SubjectFull: Integral equations
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      – TitleFull: On the Applicability Boundaries of the Pocklington and Gallen Equations in Modelling of Electric Vibrators.
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              Text: Jan2024
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