A symmetric Roberts-based compliant mechanism for potential application in a high-frequency fast tool servo system
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https://doi.org/10.15625/0866-7136/23589Keywords:
ultra-precision, fast tool servo systems, compliant mechanisms, Roberts mechanism, pseudo-rigid-body modelAbstract
The primary objective of this paper is to present the design and analysis of a symmetric, fully compliant linear-motion mechanism based on Roberts linkages for potential application in high-frequency fast tool servo systems used in ultra-precision machining. The proposed structure employs a four-branch symmetric configuration that provides highly accurate translational guidance, significantly reduces parasitic motion, and enhances stiffness uniformity within a compact monolithic structure. Analytical modeling using the pseudo-rigid-body method and Lagrangian formulation was conducted to derive the stiffness and dynamic characteristics, and the results were validated through finite element analysis. The comparison showed good agreement, with deviations of 15.72% in stiffness and 10.10% in natural frequency. Static evaluation confirms a highly linear force–displacement response with exceptionally low parasitic motion (<0.02%) and a maximum stress of only 8.5 MPa, well below the yield strength of Al7075. The first natural frequency of 1289 Hz suggests that the mechanism may be suitable for high-bandwidth FTS applications. Owing to its high stiffness, low parasitic error, and superior dynamic performance, the proposed compliant linear guide represents a promising solution for next-generation fast tool servo systems in ultra-precision diamond turning.
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National Foundation for Science and Technology Development
Grant numbers 107.01-2024.01.
