PRECISION INSTRUMENTS AND MECHANOLOGY |
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Dynamic model and dynamic characteristics of a 3-DOF spindle with a parallel linkage mechanism |
YU Guang1,2, WANG Liping1,2, WU Jun1,2, WANG Dong1,2 |
1. Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China;
2. Beijing Key Laboratory of Precision/Ultra-Precision Manufacturing Equipments and Control, Beijing 100084, China |
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Abstract The dynamic characteristics of a machine tool are related to the ability of the tool to resist the dynamic loads which has an important influence on the machine tool cutting performance. This paper presents a model of the dynamic characteristics of a 3-DOF spindle with a parallel linkage mechanism. The valuable cross-section of the link in the spindle complicates an accurate defination of the mass matrix. This paper presents an approach to derive the mass matrix of a link with an arbitrarily shaped cross-section based on the finite-element method. The joint mass matrix is also considered in the model. The dynamic model is then used to investigate the natural frequencies and the vibration modes in the workspace. Tests on a prototype with the parallel linkage validate the model for accurate dynamic modeling of 3-DOF spindles with parallel linkages. This work is very useful for development of the 3-DOF spindle with parallel mechanism.
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Keywords
parallel mechanism
dynamic model
mass matrix
natural frequency
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Issue Date: 15 December 2017
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