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Cryocoolers 8 pp 293-304 | Cite as

Design Optimization of Linear-Arm Flexure Bearings

  • Eric Marquardt
  • Ray Radebaugh

Abstract

Flexure bearings have been used in linear-resonant compressors to maintain a non-contacting clearance seal between the piston and cylinder. This paper examines the linear-arm flexure bearing which was recently introduced. Linear-arm flexures have a higher radial stiffness and a higher radial-to-axial stiffness ratio than the spiral-arm flexures which are commonly used. Finite element analysis was used to study a wide range of linear-arm flexure sizes and materials. From this modeling, design graphs have been developed to assist in early compressor design stages and to provide the initial geometry for a more detailed finite element analysis. For a given stroke, diameter, stress, and Young’s modulus, the optimized material thickness and flexure arm geometry can be determined to maximize the radial stiffness. The radial stiffness, radial-to-axial stiffness ratio, and axial rotation can then be closely approximated from the design graphs presented here. A range of stroke-to-diameter ratios up to 0.2 was analyzed. A linear-arm flexure bearing was fabricated, and the measured stiffness agreed with that calculated by the finite element model to within 12%.

Keywords

Peak Stress Radial Displacement Axial Displacement Endurance Limit Material Thickness 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Davey, G., “Review of the Oxford Cryocooler,” in: Advances in Cryogenic Engineering, vol. 35B, R.W. Fast, ed., Plenum Press, New Yourk (1990), p. 1423.Google Scholar
  2. 2.
    Wong, T.E., Pan, R.B., and Johnson, A.L., “Novel Linear Flexure Bearing,” Proceedings of the 7th International Crvocooler Conference, Phillips Laboratory Report Number PL-CP-93-1001, Kirtland Air Force Base (1992), pp. 675-698.Google Scholar
  3. 3.
    Shigley, J.E. and Mischke, C.R., Mechanical Engineering Design, McGraw-Hill Book Company (1989), pp. 112-114.Google Scholar
  4. 4.
    Marquardt, E., Radebaugh, R., and Kittel, P., “Design Equations and Scaling Laws for Linear Compressors with Flexure Springs,” Proceedings of the 7th International Crvocooler Conference, Phillips Laboratory Report Number PL-CP-93-1001, Kirtland Air Force Base (1992), pp. 783-804.Google Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Eric Marquardt
    • 1
  • Ray Radebaugh
    • 1
  1. 1.National Institute of Standards and TechnologyBoulderUSA

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