Mathematical modelling of the digital tendon pulleys

A mathematical model of the A2 pulley system will enable us to have a better understanding of the mechanics of the pulley-tendon system. The A2 pulley was modelled based on paralel pulley fibres attached to a phalanx with a tendon passing them. Mechanical properties of the pulleys such as stiffness,...

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Main Author: Tan, Adin Ming
Other Authors: Franz Konstantin Fuss
Format: Theses and Dissertations
Language:English
Published: 2010
Subjects:
Online Access:https://hdl.handle.net/10356/41155
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-411552023-03-03T16:04:02Z Mathematical modelling of the digital tendon pulleys Tan, Adin Ming Franz Konstantin Fuss School of Chemical and Biomedical Engineering DRNTU::Engineering::Bioengineering A mathematical model of the A2 pulley system will enable us to have a better understanding of the mechanics of the pulley-tendon system. The A2 pulley was modelled based on paralel pulley fibres attached to a phalanx with a tendon passing them. Mechanical properties of the pulleys such as stiffness, strength and friction were included in the model. A convergence test was done to ensure the accuracy of the test. The model managed to show the degree of flexion of the fingers affect the force distribution of the pulleys. High loads on flexed finger may lead to pulley ruptures. Further studies on the rupture mechanism showed that pullley ruptures are self propagating when a constant is applied and the rate of rupture increases as less intact fibres are present to support the load. In addition to human application, the model was applied to animals as well, and it proved the advantages of a curved phalanx as compared to a straight one. This is important in deciding the aboreality and terrestiality of primates and hominids. Further application includes explaining the tendon locking mechanism in bats, birds, and some climbing rodents. The relationship between friction coefficient of the pulley-tendon interface and the residual force at the proximal tendon was developed for the tendon locking mechanism. MASTER OF ENGINEERING (SCBE) 2010-06-29T03:55:59Z 2010-06-29T03:55:59Z 2008 2008 Thesis Tan, A. M. (2008). Mathematical modelling of the digital tendon pulleys. Master’s thesis, Nanyang Technological University, Singapore. https://hdl.handle.net/10356/41155 10.32657/10356/41155 en 148 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Bioengineering
spellingShingle DRNTU::Engineering::Bioengineering
Tan, Adin Ming
Mathematical modelling of the digital tendon pulleys
description A mathematical model of the A2 pulley system will enable us to have a better understanding of the mechanics of the pulley-tendon system. The A2 pulley was modelled based on paralel pulley fibres attached to a phalanx with a tendon passing them. Mechanical properties of the pulleys such as stiffness, strength and friction were included in the model. A convergence test was done to ensure the accuracy of the test. The model managed to show the degree of flexion of the fingers affect the force distribution of the pulleys. High loads on flexed finger may lead to pulley ruptures. Further studies on the rupture mechanism showed that pullley ruptures are self propagating when a constant is applied and the rate of rupture increases as less intact fibres are present to support the load. In addition to human application, the model was applied to animals as well, and it proved the advantages of a curved phalanx as compared to a straight one. This is important in deciding the aboreality and terrestiality of primates and hominids. Further application includes explaining the tendon locking mechanism in bats, birds, and some climbing rodents. The relationship between friction coefficient of the pulley-tendon interface and the residual force at the proximal tendon was developed for the tendon locking mechanism.
author2 Franz Konstantin Fuss
author_facet Franz Konstantin Fuss
Tan, Adin Ming
format Theses and Dissertations
author Tan, Adin Ming
author_sort Tan, Adin Ming
title Mathematical modelling of the digital tendon pulleys
title_short Mathematical modelling of the digital tendon pulleys
title_full Mathematical modelling of the digital tendon pulleys
title_fullStr Mathematical modelling of the digital tendon pulleys
title_full_unstemmed Mathematical modelling of the digital tendon pulleys
title_sort mathematical modelling of the digital tendon pulleys
publishDate 2010
url https://hdl.handle.net/10356/41155
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