Inverse Kinematics of Concentric Tube Robots in the Presence of Environmental Constraints

Inverse kinematics (IK) of concentric tube continuum robots (CTRs) is associated with two main problems. First, the robot model (e.g., the relationship between the configuration space parameters and the robot end-effector) is not linear. Second, multiple solutions for the IK are available. This pape...

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Main Authors: Mohammad Jabari, Manizhe Zakeri, Farrokh Janabi-Sharifi, Somayeh Norouzi-Ghazbi
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Applied Bionics and Biomechanics
Online Access:http://dx.doi.org/10.1155/2021/4107732
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author Mohammad Jabari
Manizhe Zakeri
Farrokh Janabi-Sharifi
Somayeh Norouzi-Ghazbi
author_facet Mohammad Jabari
Manizhe Zakeri
Farrokh Janabi-Sharifi
Somayeh Norouzi-Ghazbi
author_sort Mohammad Jabari
collection DOAJ
description Inverse kinematics (IK) of concentric tube continuum robots (CTRs) is associated with two main problems. First, the robot model (e.g., the relationship between the configuration space parameters and the robot end-effector) is not linear. Second, multiple solutions for the IK are available. This paper presents a general approach to solve the IK of CTRs in the presence of constrained environments. It is assumed that the distal tube of the CTR is inserted into a cavity while its proximal end is placed inside a tube resembling the vessel enabling the entry to the organ cavity. The robot-tissue interaction at the beginning of the organ-cavity imposed displacement and force constraints to the IK problem to secure a safe interaction between the robot and tissue. The IK in CTRs has been carried out by treating the problem as an optimization problem. To find the optimized IK of the CTR, the cost function is defined to be the minimization of input force into the body cavity and the occupied area by the robot shaft body. The optimization results show that CTRs can keep the safe force range in interaction with tissue for the specified trajectories of the distal tube. Various simulation scenarios are conducted to validate the approach. Using the IK obtained from the presented approach, the tracking accuracy is achieved as 0.01 mm which is acceptable for the application.
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issn 1176-2322
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publishDate 2021-01-01
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spelling doaj-art-903506a4d77c48a6ba7ddd01dc6be2042025-02-03T01:24:51ZengWileyApplied Bionics and Biomechanics1176-23221754-21032021-01-01202110.1155/2021/41077324107732Inverse Kinematics of Concentric Tube Robots in the Presence of Environmental ConstraintsMohammad Jabari0Manizhe Zakeri1Farrokh Janabi-Sharifi2Somayeh Norouzi-Ghazbi3Faculty of Mechanical Engineering, University of Tabriz, Tabriz, IranFaculty of Mechanical Engineering, University of Tabriz, Tabriz, IranDepartment of Mechanical and Industrial Engineering, Ryerson University, Toronto, ON, M5B 2K3, CanadaDepartment of Biomedical Engineering, Ryerson University, Toronto, CanadaInverse kinematics (IK) of concentric tube continuum robots (CTRs) is associated with two main problems. First, the robot model (e.g., the relationship between the configuration space parameters and the robot end-effector) is not linear. Second, multiple solutions for the IK are available. This paper presents a general approach to solve the IK of CTRs in the presence of constrained environments. It is assumed that the distal tube of the CTR is inserted into a cavity while its proximal end is placed inside a tube resembling the vessel enabling the entry to the organ cavity. The robot-tissue interaction at the beginning of the organ-cavity imposed displacement and force constraints to the IK problem to secure a safe interaction between the robot and tissue. The IK in CTRs has been carried out by treating the problem as an optimization problem. To find the optimized IK of the CTR, the cost function is defined to be the minimization of input force into the body cavity and the occupied area by the robot shaft body. The optimization results show that CTRs can keep the safe force range in interaction with tissue for the specified trajectories of the distal tube. Various simulation scenarios are conducted to validate the approach. Using the IK obtained from the presented approach, the tracking accuracy is achieved as 0.01 mm which is acceptable for the application.http://dx.doi.org/10.1155/2021/4107732
spellingShingle Mohammad Jabari
Manizhe Zakeri
Farrokh Janabi-Sharifi
Somayeh Norouzi-Ghazbi
Inverse Kinematics of Concentric Tube Robots in the Presence of Environmental Constraints
Applied Bionics and Biomechanics
title Inverse Kinematics of Concentric Tube Robots in the Presence of Environmental Constraints
title_full Inverse Kinematics of Concentric Tube Robots in the Presence of Environmental Constraints
title_fullStr Inverse Kinematics of Concentric Tube Robots in the Presence of Environmental Constraints
title_full_unstemmed Inverse Kinematics of Concentric Tube Robots in the Presence of Environmental Constraints
title_short Inverse Kinematics of Concentric Tube Robots in the Presence of Environmental Constraints
title_sort inverse kinematics of concentric tube robots in the presence of environmental constraints
url http://dx.doi.org/10.1155/2021/4107732
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AT manizhezakeri inversekinematicsofconcentrictuberobotsinthepresenceofenvironmentalconstraints
AT farrokhjanabisharifi inversekinematicsofconcentrictuberobotsinthepresenceofenvironmentalconstraints
AT somayehnorouzighazbi inversekinematicsofconcentrictuberobotsinthepresenceofenvironmentalconstraints