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SOLUTIONS TO THE CHARACTERISTIC EQUATION FOR INDUSTRIAL ROBOT'S ELLIPTIC TRAJECTORIES.

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Title: SOLUTIONS TO THE CHARACTERISTIC EQUATION FOR INDUSTRIAL ROBOT'S ELLIPTIC TRAJECTORIES.
Alternate Title: Rješenja karakteristične jednadžbe za eliptične putanje industrijskog robota.
Authors: Božek, Pavol1 pavol.bozek@stuba.sk, Ivandić, Željko2 zivandic@sfsb.hr, Lozhkin, Alexander3,4 lag.izh@gmail.com, Lyalin, Vadim5,6,7 velyalin@mail.ru, Tarasov, Vladimir4 taras_vg@mail.ru
Source: Technical Gazette / Tehnički Vjesnik. Jul/Aug2016, Vol. 23 Issue 4, p1017-1023. 7p.
Subjects: Industrial robots, Automorphisms, Mathematical transformations, Linear equations, Robot kinematics
Abstract (English): Linear independent non-projective transformations are used for different types of applications. Direct analytical method for solving the linear transformation of the characteristic equation for industrial robot is proposed. The theoretical basis of the method derives from the classical solutions with symmetries, but the method does not contain formulas with radicals. Automorphisms are divided into set theory and universal algebra. This feature allows us to use this method more efficiently for other engineering tasks. [ABSTRACT FROM AUTHOR]
Abstract (Croatian): Linearne nezavisne neprojektivne transformacije rabe se za različite vrste aplikacija. Predlaže se direktna analitička metoda za rješenje linearne transformacije karakteristične jednadžbe za industrijskog robota. Teorijska osnova metode proizlazi iz klasičnih rješenja sa simetrijama, ali metoda ne sadržava formule s korijenima. Automorfizmi se dijele na teoriju skupova i opću algebru. To nam omogućuje učinkovitiju primjenu te metode za druge tehničke zadatke. [ABSTRACT FROM AUTHOR]
Copyright of Technical Gazette / Tehnički Vjesnik is the property of Tehnicki Vjesnik 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.)
Database: Engineering Source
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  Data: SOLUTIONS TO THE CHARACTERISTIC EQUATION FOR INDUSTRIAL ROBOT'S ELLIPTIC TRAJECTORIES.
– Name: TitleAlt
  Label: Alternate Title
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  Data: Rješenja karakteristične jednadžbe za eliptične putanje industrijskog robota.
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  Data: <searchLink fieldCode="AR" term="%22Božek%2C+Pavol%22">Božek, Pavol</searchLink><relatesTo>1</relatesTo><i> pavol.bozek@stuba.sk</i><br /><searchLink fieldCode="AR" term="%22Ivandić%2C+Željko%22">Ivandić, Željko</searchLink><relatesTo>2</relatesTo><i> zivandic@sfsb.hr</i><br /><searchLink fieldCode="AR" term="%22Lozhkin%2C+Alexander%22">Lozhkin, Alexander</searchLink><relatesTo>3,4</relatesTo><i> lag.izh@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Lyalin%2C+Vadim%22">Lyalin, Vadim</searchLink><relatesTo>5,6,7</relatesTo><i> velyalin@mail.ru</i><br /><searchLink fieldCode="AR" term="%22Tarasov%2C+Vladimir%22">Tarasov, Vladimir</searchLink><relatesTo>4</relatesTo><i> taras_vg@mail.ru</i>
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  Data: <searchLink fieldCode="JN" term="%22Technical+Gazette+%2F+Tehnički+Vjesnik%22">Technical Gazette / Tehnički Vjesnik</searchLink>. Jul/Aug2016, Vol. 23 Issue 4, p1017-1023. 7p.
– Name: Subject
  Label: Subjects
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  Data: <searchLink fieldCode="DE" term="%22Industrial+robots%22">Industrial robots</searchLink><br /><searchLink fieldCode="DE" term="%22Automorphisms%22">Automorphisms</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+transformations%22">Mathematical transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+equations%22">Linear equations</searchLink><br /><searchLink fieldCode="DE" term="%22Robot+kinematics%22">Robot kinematics</searchLink>
– Name: Abstract
  Label: Abstract (English)
  Group: Ab
  Data: Linear independent non-projective transformations are used for different types of applications. Direct analytical method for solving the linear transformation of the characteristic equation for industrial robot is proposed. The theoretical basis of the method derives from the classical solutions with symmetries, but the method does not contain formulas with radicals. Automorphisms are divided into set theory and universal algebra. This feature allows us to use this method more efficiently for other engineering tasks. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label: Abstract (Croatian)
  Group: Ab
  Data: Linearne nezavisne neprojektivne transformacije rabe se za različite vrste aplikacija. Predlaže se direktna analitička metoda za rješenje linearne transformacije karakteristične jednadžbe za industrijskog robota. Teorijska osnova metode proizlazi iz klasičnih rješenja sa simetrijama, ali metoda ne sadržava formule s korijenima. Automorfizmi se dijele na teoriju skupova i opću algebru. To nam omogućuje učinkovitiju primjenu te metode za druge tehničke zadatke. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Technical Gazette / Tehnički Vjesnik is the property of Tehnicki Vjesnik 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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      – SubjectFull: Mathematical transformations
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      – SubjectFull: Linear equations
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      – SubjectFull: Robot kinematics
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      – TitleFull: SOLUTIONS TO THE CHARACTERISTIC EQUATION FOR INDUSTRIAL ROBOT'S ELLIPTIC TRAJECTORIES.
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              Text: Jul/Aug2016
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