MECHANICAL ENGINEERING |
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Compliance calculation method for planar flexure-based mechanisms |
DU Yunsong, LI Tiemin, JIANG Yao, ZHANG Jinglei |
Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China |
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Abstract Flexure-based mechanisms are widely used in industry as highly precise micro-motion mechanisms. This paper presents a compliance calculation method for planar flexure-based mechanisms. The compliance of flexure hinges is used to relate the deformations to the loads on flexure member with the end-effector motion obtained using the virtual work principle. Then, a matrix method is used to derive concise compliance equations for serial and parallel flexure mechanisms. The compliance and the relationship between the compliance terms and variable geometric parameters are analyzed for three typical flexure-based mechanisms. The model results compare well with finite element method (FEM) predictions with a maximum difference of 7% and an average difference of 3%. This method provides theoretical and technical support for the design and optimization of flexure-based mechanisms.
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Keywords
flexure-based mechanisms
compliance
matrix method
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Issue Date: 15 June 2016
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