2006Machinery Design and ManufactureRequires access

Statics and stiffness analysis of 3-RSR parallel manipulator

Liu Ping-an

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Abstract

Jacobian matrix of 3-RSR parallel manipulator can be derived through the application of theory of screws.The external forces and moments acting on the moving platform can be mapped back to the actuated joint by using the Jacobian matrix,so the statics computation is easy.Also,the stiffness matrix can be derived through the Jacobian matrix.The conclusion is the basis of the dynamics analysis.

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What this paper is about

Jacobian matrix of 3-RSR parallel manipulator can be derived through the application of theory of screws.The external forces and moments acting on the moving platform can be mapped back to the actuated joint by using the Jacobian matrix,so the statics computation is easy.Also,the stiffness matrix can be derived through the Jacobian matrix.The conclusion is the basis of the dynamics analysis.

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Available abstract

Jacobian matrix of 3-RSR parallel manipulator can be derived through the application of theory of screws.The external forces and moments acting on the moving platform can be mapped back to the actuated joint by using the Jacobian matrix,so the statics computation is easy.Also,the stiffness matrix can be derived through the Jacobian matrix.The conclusion is the basis of the dynamics analysis.

Key concepts: Jacobian matrix and determinant, Statics, Stiffness, Manipulator (device), Direct stiffness method, Computation, Matrix (chemical analysis), Parallel manipulator

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