Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2018 / Cilt: 18 - Sayı: 2

Examining Motion of a Robot End-effector Using CurvatureTheory of Dual LorentzianUnitSphericalTimelikeCurves

Dual Lorentziyen Birim Küresel Timelike Eğrilerin Eğrilik Teorisi Kullanılarak Robot Uç-işlevci Hareketinin İncelenmesi

Pages
468–476
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Inthisway, time dependentlinearandangularvelocitiesandaccelerationswhichplayimportantroles in robot trajectoryplanning.

📌 3 Key Takeaways

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Objective & Hypothesis:Inthispaper, motion of a robot end-effectorwhichmoves in Lorentzianspace is examinedusingthecurvaturetheory of dualLorentzianunitsphericaltimelikecurveswhichcorrespondsto a spacelikeruledsurfacegeneratedby a linefixed in the robot end-effector.
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Key Findings & Data:Inthispaper, motion of a robot end-effectorwhichmoves in Lorentzianspace is examinedusingthecurvaturetheory of dualLorentzianunitsphericaltimelikecurveswhichcorrespondsto a spacelikeruledsurfacegeneratedby a linefixed in the robot end-effector.
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Conclusion & Impact:Inthisway, time dependentlinearandangularvelocitiesandaccelerationswhichplayimportantroles in robot trajectoryplanning.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Inthispaper, motion of a robot end-effectorwhichmoves in Lorentzianspace is examinedusingthecurvaturetheory of dualLorentzianunitsphericaltimelikecurveswhichcorrespondsto a spacelikeruledsurfacegeneratedby a linefixed in the robot end-effector. Inthisway, time dependentlinearandangularvelocitiesandaccelerationswhichplayimportantroles in robot trajectoryplanning.

Özet

Bu çalışmada, Lorentziyen uzayda hareket eden bir robot uç-işlevcinin hareketi, robot uç-işlevciyesabitlenmiş bir doğru tarafından oluşturulan spacelike regle yüzeye dual uzayda karşılık gelendualLorentziyen birim küresel timelike eğrilerin eğrilik teorisi kullanılarak incelenmiştir. Bu inceleme ilerobot yörünge planlamasında önemli rol oynayan robot uç-işlevcinin zamana bağlı lineer ve açısal hızıile lineer ve açısal ivmesi belirlenmiştir.

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Cite This Article

ŞAHİNER, B., UĞURLU, H. H., KAZAZ, M. (2022). Examining Motion of a Robot End-effector Using CurvatureTheory of Dual LorentzianUnitSphericalTimelikeCurves. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 18 - Sayı: 2, 468–476. https://ajindex.com/articles/429955

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