2006•Unpublished venueRequires access

Error Modeling and Accuracy Analysis of a Novel 3-DOF Parallel Machine Tool

Koucheng Zuo, Liyang Xie, Min Zhang, Xuehong He, Peng Yu

Open publisher page 3 citations

Abstract

The kinematics accuracy is a key factor in the design of parallel machine tool (PMT). By taking a novel 3-DOF PMT as an example, this paper investigates the accuracy of PMT system with degrees of freedom (DOF) fewer than 6. The machine tool architecture is introduced firstly. The mapping from the errors of legs and joints to the terminal is proposed by using matrix method with differential of the inverse kinematics solutions. A program in the Matlab language is presented to calculate the error model with Monte-Carlo method. Position error and pose error of the terminal are obtained under the condition of determinate machine error. The simulation indicates that among the error sources, the legs error is the main factor causing the terminal error. The maximum position error is about 0.085mm, and the maximum pose error is near 5 degrees. The machine tool can achieve great precision in the workspace

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What this paper is about

The kinematics accuracy is a key factor in the design of parallel machine tool (PMT). By taking a novel 3-DOF PMT as an example, this paper investigates the accuracy of PMT system with degrees of freedom (DOF) fewer than 6. The machine tool architecture is introduced firstly. The mapping from the errors of legs and joints to the terminal is proposed by using matrix method with differential of the inverse kinematics solutions. A program in the Matlab language is presented to calculate the error model with Monte-Carlo method. Position error and pose error of the terminal are obtained under the condition of determinate machine error. The simulation indicates that among the error sources, the legs error is the main factor causing the terminal error. The maximum position error is about 0.085mm, and the maximum pose error is near 5 degrees. The machine tool can achieve great precision in the workspace

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Available abstract

The kinematics accuracy is a key factor in the design of parallel machine tool (PMT). By taking a novel 3-DOF PMT as an example, this paper investigates the accuracy of PMT system with degrees of freedom (DOF) fewer than 6. The machine tool architecture is introduced firstly. The mapping from the errors of legs and joints to the terminal is proposed by using matrix method with differential of the inverse kinematics solutions. A program in the Matlab language is presented to calculate the error model with Monte-Carlo method. Position error and pose error of the terminal are obtained under the condition of determinate machine error. The simulation indicates that among the error sources, the legs error is the main factor causing the terminal error. The maximum position error is about 0.085mm, and the maximum pose error is near 5 degrees. The machine tool can achieve great precision in the workspace

Key concepts: Computer science, Workspace, MATLAB, Kinematics, Inverse kinematics, Machine tool, Position (finance), Degrees of freedom (physics and chemistry)

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