2013•Unpublished venueRequires access

Kinematic and Workspace Analysis of a Parallel Robot Used in Security Applications

Daniel Chaparro-Altamirano, Ricardo Zavala-Yoé, Ricardo Ambrocio Ramírez-Mendoza

Open publisher page 9 citations

Abstract

This paper proposes a surveillance and defense system based on a 3SPS-1S parallel manipulator. The central constraining leg of the mechanism increases the stiffness of the system and forces the manipulator to have three pure rotation degrees of freedom. In this paper, the inverse kinematic equation is presented. The forward kinematics problem is solved using a geometrical approach, and then a unique solution to the forward kinematics is obtained using artificial neural networks and Newton-Raphson's method. A method to calculate the workspace is proposed, and then a method to maximize the workspace while maintaining the parameters of the robot as close as possible to a desired size is proposed. Finally the Jacobian matrix is obtained and analyzed in order to calculate the singularities of the manipulator.

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What this paper is about

This paper proposes a surveillance and defense system based on a 3SPS-1S parallel manipulator. The central constraining leg of the mechanism increases the stiffness of the system and forces the manipulator to have three pure rotation degrees of freedom. In this paper, the inverse kinematic equation is presented. The forward kinematics problem is solved using a geometrical approach, and then a unique solution to the forward kinematics is obtained using artificial neural networks and Newton-Raphson's method. A method to calculate the workspace is proposed, and then a method to maximize the workspace while maintaining the parameters of the robot as close as possible to a desired size is proposed. Finally the Jacobian matrix is obtained and analyzed in order to calculate the singularities of the manipulator.

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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper proposes a surveillance and defense system based on a 3SPS-1S parallel manipulator. The central constraining leg of the mechanism increases the stiffness of the system and forces the manipulator to have three pure rotation degrees of freedom. In this paper, the inverse kinematic equation is presented. The forward kinematics problem is solved using a geometrical approach, and then a unique solution to the forward kinematics is obtained using artificial neural networks and Newton-Raphson's method. A method to calculate the workspace is proposed, and then a method to maximize the workspace while maintaining the parameters of the robot as close as possible to a desired size is proposed. Finally the Jacobian matrix is obtained and analyzed in order to calculate the singularities of the manipulator.

Key concepts: Workspace, Jacobian matrix and determinant, Kinematics, Inverse kinematics, Parallel manipulator, Robot kinematics, Control theory (sociology), Forward kinematics

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