Analytical modeling of selectively compliant mechanisms for quantifying the nano-scale parasitic motion is presented. Flexure-based compliant mechanisms are capable of meeting the demanding requirements of the partially constrained ultraprecision motion systems. However, the geometric errors induced by manufacturing tolerances can limit the precision capability. Understanding parasitic motion at the nano-scale necessitates a 3-D model even for mechanisms that are designed to be planar. A spatial kinematics based kinetostatic model is used here. This approach systematically accounts for the geometric errors, and enables estimation of the inherently spatial parasitic motion. Using insights from screw theory, the parasitic motion is classified into intrinsic mechanism errors, and errors that can be minimized by calibration procedures. A metric that quantifies the intrinsic parasitic motion and characterizes the precision capability of the mechanism is identified. Monte Carlo simulation is used to propagate the variance of the geometric errors through the model to determine the statistical moments of the chosen metric. To illustrate the approach, the modeling and analysis is applied to a classical four-bar mechanism with flexure joints. The model is further used to investigate the key system parameters that influence the intrinsic parasitic motion in the mechanism. The simulation results indicate more than 50% improvement in the precision capability of the four-bar mechanism by improved design of flexure joints, without changing the manufacturing tolerance limits.
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ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
September 4–7, 2007
Las Vegas, Nevada, USA
Conference Sponsors:
- Design Engineering Division and Computers and Information in Engineering Division
ISBN:
0-7918-4804-3
PROCEEDINGS PAPER
Analytical Representation of Nano-Scale Parasitic Motion in Flexure-Based Selectively Compliant Mechanisms Available to Purchase
Chinmaya B. Patil,
Chinmaya B. Patil
University of Texas at Austin, Austin, TX
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S. V. Sreenivasan,
S. V. Sreenivasan
University of Texas at Austin, Austin, TX
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Raul G. Longoria
Raul G. Longoria
University of Texas at Austin, Austin, TX
Search for other works by this author on:
Chinmaya B. Patil
University of Texas at Austin, Austin, TX
S. V. Sreenivasan
University of Texas at Austin, Austin, TX
Raul G. Longoria
University of Texas at Austin, Austin, TX
Paper No:
DETC2007-35114, pp. 775-784; 10 pages
Published Online:
May 20, 2009
Citation
Patil, CB, Sreenivasan, SV, & Longoria, RG. "Analytical Representation of Nano-Scale Parasitic Motion in Flexure-Based Selectively Compliant Mechanisms." Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 3: 19th International Conference on Design Theory and Methodology; 1st International Conference on Micro- and Nanosystems; and 9th International Conference on Advanced Vehicle Tire Technologies, Parts A and B. Las Vegas, Nevada, USA. September 4–7, 2007. pp. 775-784. ASME. https://doi.org/10.1115/DETC2007-35114
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