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Journal Articles

Dynamics of Mobile Manipulators Using Dual Quaternion Algebra

Frederico Fernandes Afonso Silva, Juan José Quiroz-Omaña, Bruno Vilhena Adorno

J. Mechanisms Robotics. December 2022, 14(6): 061005.

Paper No: JMR-21-1398

DOI: https://doi.org/10.1115/1.4054320

Published Online: September 14, 2022

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Topics: Algebra, Algorithms, Manipulators, Robots, Robotics, Simulation, Dynamics (Mechanics)

Journal Articles

Exact Path Synthesis of RCCC Linkages for a Maximum of Nine Prescribed Positions

Shaoping Bai, Zhongyi Li, Jorge Angeles

J. Mechanisms Robotics. April 2022, 14(2): 021011.

Paper No: JMR-21-1203

DOI: https://doi.org/10.1115/1.4052336

Published Online: October 13, 2021

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Topics: Linkages, Algebra

Journal Articles

Structure Synthesis and Reconfiguration Analysis of Variable-Degree-of-Freedom Single-Loop Mechanisms With Prismatic Joints Using Dual Quaternions

Kai Liu, Jingjun Yu, Xianwen Kong

J. Mechanisms Robotics. April 2022, 14(2): 021009.

Paper No: JMR-21-1166

DOI: https://doi.org/10.1115/1.4052338

Published Online: September 21, 2021

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Topics: Algebra, Polynomials, Chain, Kinematics

Journal Articles

Actuation and Motion Control of Flexible Robots: Small Deformation Problem

Ahmed A. Shabana, Zhengfeng Bai

J. Mechanisms Robotics. February 2022, 14(1): 011002.

Paper No: JMR-20-1603

DOI: https://doi.org/10.1115/1.4051438

Published Online: July 5, 2021

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Topics: Deformation, Dynamics (Mechanics), Robots, Algebra, Motion control, Degrees of freedom, Piezoelectric actuators, Trajectories (Physics)

Journal Articles

Direct Kinematic Analysis of the Spatial Parallel Mechanism With 3-R(P)S Structure Based on the Point Pair Relationship

Ganmin Zhu, Shimin Wei, Ying Zhang, Qizheng Liao

J. Mechanisms Robotics. December 2021, 13(6): 061011.

Paper No: JMR-20-1479

DOI: https://doi.org/10.1115/1.4050930

Published Online: June 4, 2021

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Topics: Algebra, Geometric modeling, Kinematic analysis, Kinematic chains, Kinematics, Parallel mechanisms, Polynomials, Reactor protection systems

Journal Articles

Direct Position Analysis of a Particular Translational 3-URU Manipulator

Raffaele Di Gregorio

J. Mechanisms Robotics. December 2021, 13(6): 061007.

Paper No: JMR-20-1563

DOI: https://doi.org/10.1115/1.4050764

Published Online: June 3, 2021

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Topics: Algorithms, Manipulators, Engines, Motors, Algebra, Actuators, Kinematics

Journal Articles

Variable Degree-of-Freedom Spatial Mechanisms Composed of Four Circular Translation Joints

Xianwen Kong

J. Mechanisms Robotics. June 2021, 13(3): 031007.

Paper No: JMR-20-1443

DOI: https://doi.org/10.1115/1.4050152

Published Online: March 12, 2021

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Topics: Construction, Degrees of freedom, Kinematics, Mechanical admittance, Switches, Trajectories (Physics), Algebra, Circuits, Cables, Gears

Journal Articles

The Kinematics of Containment for N -Dimensional Ellipsoids

Sipu Ruan, Jianzhong Ding, Qianli Ma, Gregory S. Chirikjian

J. Mechanisms Robotics. August 2019, 11(4): 041005.

Paper No: JMR-18-1404

DOI: https://doi.org/10.1115/1.4043458

Published Online: May 17, 2019

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Topics: Algebra, Containment, Kinematics

Journal Articles

Analytical Elastostatic Stiffness Modeling of Overconstrained Parallel Manipulators Using Geometric Algebra and Strain Energy

Qinchuan Li, Lingmin Xu, Qiaohong Chen, Xinxue Chai

J. Mechanisms Robotics. June 2019, 11(3): 031007.

Paper No: JMR-18-1292

DOI: https://doi.org/10.1115/1.4043046

Published Online: April 9, 2019

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Topics: Stiffness, Modeling, Algebra, Finite element analysis

Journal Articles

A Survey on the Computation of Quaternions From Rotation Matrices

Soheil Sarabandi, Federico Thomas

J. Mechanisms Robotics. April 2019, 11(2): 021006.

Paper No: JMR-18-1163

DOI: https://doi.org/10.1115/1.4041889

Published Online: March 1, 2019

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Topics: Rotation, Computation, Errors, Algebra

Includes: Supplementary data

Journal Articles

A Screw Approach to the Approximation of the Local Geometry of the Configuration Space and of the Set of Configurations of Certain Rank of Lower Pair Linkages

Andreas Müller

J. Mechanisms Robotics. April 2019, 11(2): 020910.

Paper No: JMR-18-1379

DOI: https://doi.org/10.1115/1.4042545

Published Online: February 22, 2019

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Topics: Approximation, Geometry, Kinematics, Linkages, Screws, Algebra

Journal Articles

A Motion Synthesis Approach to Solving Alt-Burmester Problem by Exploiting Fourier Descriptor Relationship Between Path and Orientation Data

Shashank Sharma, Anurag Purwar, Q. Jeffrey Ge

J. Mechanisms Robotics. February 2019, 11(1): 011016.

Paper No: JMR-18-1084

DOI: https://doi.org/10.1115/1.4042054

Published Online: December 17, 2018

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Topics: Algorithms, Computation, Fittings, Algebra

Journal Articles

A Computational Geometric Approach for Motion Generation of Spatial Linkages With Sphere and Plane Constraints

Xiangyun Li, Q. J. Ge, Feng Gao

J. Mechanisms Robotics. February 2019, 11(1): 014504.

Paper No: JMR-18-1168

DOI: https://doi.org/10.1115/1.4041788

Published Online: December 10, 2018

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Topics: Algebra, Design, Displacement, Kinematics, Linkages, Algorithms, Fittings, End effectors

Journal Articles

A Task-Driven Approach to Optimal Synthesis of Planar Four-Bar Linkages for Extended Burmester Problem

Shrinath Deshpande, Anurag Purwar

J. Mechanisms Robotics. December 2017, 9(6): 061005.

Paper No: JMR-17-1048

DOI: https://doi.org/10.1115/1.4037801

Published Online: September 18, 2017

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Topics: Algebra, Errors, Fittings, Linkages, Kinematics, Error functions, Algorithms, Manifolds, Design, Dimensions

Journal Articles

Type Synthesis of Parallel Tracking Mechanism With Varied Axes by Modeling Its Finite Motions Algebraically

Yang Qi, Tao Sun, Yimin Song

J. Mechanisms Robotics. October 2017, 9(5): 054504.

Paper No: JMR-17-1055

DOI: https://doi.org/10.1115/1.4037548

Published Online: August 21, 2017

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Topics: Algebra, Kinematic analysis, Manufacturing, Modeling, Rotation, Degrees of freedom, Design

Journal Articles

Reconfiguration Analysis of Multimode Single-Loop Spatial Mechanisms Using Dual Quaternions

Xianwen Kong

J. Mechanisms Robotics. October 2017, 9(5): 051002.

Paper No: JMR-16-1273

DOI: https://doi.org/10.1115/1.4037111

Published Online: August 4, 2017

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Topics: Algebra, Circuits, Geometry, Kinematics, Polynomials, Robots, Kinematic analysis, Robotics, Computers

Journal Articles

Mobility and Constraint Analysis of Interconnected Hybrid Flexure Systems Via Screw Algebra and Graph Theory

Frederick Sun, Jonathan B. Hopkins

J. Mechanisms Robotics. June 2017, 9(3): 031018.

Paper No: JMR-16-1363

DOI: https://doi.org/10.1115/1.4035993

Published Online: March 27, 2017

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Topics: Bending (Stress), Mechanical admittance, Screws, Space, Topology, Algebra

Journal Articles

Wrench Accuracy for Parallel Manipulators and Interval Dependency

Leila Notash

J. Mechanisms Robotics. February 2017, 9(1): 011008.

Paper No: JMR-16-1201

DOI: https://doi.org/10.1115/1.4035221

Published Online: December 2, 2016

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Topics: Actuators, Jacobian matrices, Linear systems, Manipulators, Algebra

Journal Articles

Classification of 3T1R Parallel Manipulators Based on Their Wrench Graph

Semaan Amine, Ossama Mokhiamar, Stéphane Caro

J. Mechanisms Robotics. February 2017, 9(1): 011003.

Paper No: JMR-16-1064

DOI: https://doi.org/10.1115/1.4035188

Published Online: December 2, 2016

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Topics: Degrees of freedom, Manipulators, Manufacturing, Jacobian matrices, Algebra, Screws, Design, Kinematics

Journal Articles

Duporcq Pentapods

Georg Nawratil, Josef Schicho

J. Mechanisms Robotics. February 2017, 9(1): 011001.

Paper No: JMR-16-1141

DOI: https://doi.org/10.1115/1.4035085

Published Online: November 23, 2016

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Topics: Computation, Geometry, Kinematics, Mechanical admittance, Theorems (Mathematics), Algebra

Journal citation

NARROW

Supplemental Material

Dynamics of Mobile Manipulators Using Dual Quaternion Algebra

Exact Path Synthesis of RCCC Linkages for a Maximum of Nine Prescribed Positions

Structure Synthesis and Reconfiguration Analysis of Variable-Degree-of-Freedom Single-Loop Mechanisms With Prismatic Joints Using Dual Quaternions

Actuation and Motion Control of Flexible Robots: Small Deformation Problem

Direct Kinematic Analysis of the Spatial Parallel Mechanism With 3-R(P)S Structure Based on the Point Pair Relationship

Direct Position Analysis of a Particular Translational 3-URU Manipulator

Variable Degree-of-Freedom Spatial Mechanisms Composed of Four Circular Translation Joints

The Kinematics of Containment for N -Dimensional Ellipsoids

Analytical Elastostatic Stiffness Modeling of Overconstrained Parallel Manipulators Using Geometric Algebra and Strain Energy

A Survey on the Computation of Quaternions From Rotation Matrices

A Screw Approach to the Approximation of the Local Geometry of the Configuration Space and of the Set of Configurations of Certain Rank of Lower Pair Linkages

A Motion Synthesis Approach to Solving Alt-Burmester Problem by Exploiting Fourier Descriptor Relationship Between Path and Orientation Data

A Computational Geometric Approach for Motion Generation of Spatial Linkages With Sphere and Plane Constraints

A Task-Driven Approach to Optimal Synthesis of Planar Four-Bar Linkages for Extended Burmester Problem

Type Synthesis of Parallel Tracking Mechanism With Varied Axes by Modeling Its Finite Motions Algebraically

Reconfiguration Analysis of Multimode Single-Loop Spatial Mechanisms Using Dual Quaternions

Mobility and Constraint Analysis of Interconnected Hybrid Flexure Systems Via Screw Algebra and Graph Theory

Wrench Accuracy for Parallel Manipulators and Interval Dependency

Classification of 3T1R Parallel Manipulators Based on Their Wrench Graph

Duporcq Pentapods

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