Global Sensitivity Analysis of Chosen Harmonic Drive Parameters Affecting Its Lost Motion

The aim of the presented study was to perform a global sensitivity analysis of various design parameters affecting the lost motion of the harmonic drive. A detailed virtual model of a harmonic drive was developed, including the wave generator, the flexible ball bearing, the flexible spline and the c...

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Main Authors: Slavomir Hrcek, Frantisek Brumercik, Lukas Smetanka, Michal Lukac, Branislav Patin, Adam Glowacz
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/14/17/5057
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spelling doaj-a9b231d3467c4df18ea63abdc4463feb2021-09-09T13:51:43ZengMDPI AGMaterials1996-19442021-09-01145057505710.3390/ma14175057Global Sensitivity Analysis of Chosen Harmonic Drive Parameters Affecting Its Lost MotionSlavomir Hrcek0Frantisek Brumercik1Lukas Smetanka2Michal Lukac3Branislav Patin4Adam Glowacz5Department of Design and Mechanical Elements, Faculty of Mechanical Engineering, University of Zilina, 010 26 Zilina, SlovakiaDepartment of Design and Mechanical Elements, Faculty of Mechanical Engineering, University of Zilina, 010 26 Zilina, SlovakiaDepartment of Design and Mechanical Elements, Faculty of Mechanical Engineering, University of Zilina, 010 26 Zilina, SlovakiaDepartment of Design and Mechanical Elements, Faculty of Mechanical Engineering, University of Zilina, 010 26 Zilina, SlovakiaDepartment of Design and Mechanical Elements, Faculty of Mechanical Engineering, University of Zilina, 010 26 Zilina, SlovakiaDepartment of Automatic Control and Robotics, Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, AGH University of Science and Technology, 30-059 Krakow, PolandThe aim of the presented study was to perform a global sensitivity analysis of various design parameters affecting the lost motion of the harmonic drive. A detailed virtual model of a harmonic drive was developed, including the wave generator, the flexible ball bearing, the flexible spline and the circular spline. Finite element analyses were performed to observe which parameter from the harmonic drive geometry parameter group affects the lost motion value most. The analyses were carried out using 4% of the rated harmonic drive output torque by the locked wave generator and fixed circular spline according the requirements for the high accuracy harmonic drive units. The described approach was applied to two harmonic drive units with the same ratio, but various dimensions and rated power were used to generalize and interpret the global sensitivity analysis results properly. The most important variable was for both harmonic drives the offset from the nominal tooth shape.https://www.mdpi.com/1996-1944/14/17/5057harmonic drivelost motiontorsional backlashFEA analysisglobal sensitivity analysisSobol indices
collection DOAJ
language English
format Article
sources DOAJ
author Slavomir Hrcek
Frantisek Brumercik
Lukas Smetanka
Michal Lukac
Branislav Patin
Adam Glowacz
spellingShingle Slavomir Hrcek
Frantisek Brumercik
Lukas Smetanka
Michal Lukac
Branislav Patin
Adam Glowacz
Global Sensitivity Analysis of Chosen Harmonic Drive Parameters Affecting Its Lost Motion
Materials
harmonic drive
lost motion
torsional backlash
FEA analysis
global sensitivity analysis
Sobol indices
author_facet Slavomir Hrcek
Frantisek Brumercik
Lukas Smetanka
Michal Lukac
Branislav Patin
Adam Glowacz
author_sort Slavomir Hrcek
title Global Sensitivity Analysis of Chosen Harmonic Drive Parameters Affecting Its Lost Motion
title_short Global Sensitivity Analysis of Chosen Harmonic Drive Parameters Affecting Its Lost Motion
title_full Global Sensitivity Analysis of Chosen Harmonic Drive Parameters Affecting Its Lost Motion
title_fullStr Global Sensitivity Analysis of Chosen Harmonic Drive Parameters Affecting Its Lost Motion
title_full_unstemmed Global Sensitivity Analysis of Chosen Harmonic Drive Parameters Affecting Its Lost Motion
title_sort global sensitivity analysis of chosen harmonic drive parameters affecting its lost motion
publisher MDPI AG
series Materials
issn 1996-1944
publishDate 2021-09-01
description The aim of the presented study was to perform a global sensitivity analysis of various design parameters affecting the lost motion of the harmonic drive. A detailed virtual model of a harmonic drive was developed, including the wave generator, the flexible ball bearing, the flexible spline and the circular spline. Finite element analyses were performed to observe which parameter from the harmonic drive geometry parameter group affects the lost motion value most. The analyses were carried out using 4% of the rated harmonic drive output torque by the locked wave generator and fixed circular spline according the requirements for the high accuracy harmonic drive units. The described approach was applied to two harmonic drive units with the same ratio, but various dimensions and rated power were used to generalize and interpret the global sensitivity analysis results properly. The most important variable was for both harmonic drives the offset from the nominal tooth shape.
topic harmonic drive
lost motion
torsional backlash
FEA analysis
global sensitivity analysis
Sobol indices
url https://www.mdpi.com/1996-1944/14/17/5057
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