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The Effects of Manufacturing Imperfections on Distributed Mass Gyroscopes

The Effects of Manufacturing Imperfections on Distributed Mass Gyroscopes. Professor Andrei Shkel Adam Schofield and Alexander Trusov Department of Mechanical Engineering, UC Irvine Yaniv Scherson Mechanical Engineering/Materials Science, UC Berkeley. _ _ _. F = ω x v.

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The Effects of Manufacturing Imperfections on Distributed Mass Gyroscopes

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  1. The Effects of Manufacturing Imperfections on Distributed Mass Gyroscopes Professor Andrei Shkel Adam Schofield and Alexander Trusov Department of Mechanical Engineering, UC Irvine Yaniv Scherson Mechanical Engineering/Materials Science, UC Berkeley

  2. _ _ _ F = ω x v SenseDirection Gyroscopes DriveDirection • Oscillating resonator displaces in sense direction • Displacement in sense direction is used to measure rotation

  3. Sense Direction Drive Direction FixedPoints Figure 2: Mass is oscillated in drive direction and subsequently displaced in sense direction under a rotation. Figure1: Distributed Mass Gyroscope Drive Direction and Sense Direction

  4. Gyro’s Drive and Sense Modes

  5. Project Objective • Develop an FEM (finite element model) of the Distributed Mass Gyro • Determine the effects of imperfections on the natural frequency of the resonators Gap Size Beam Width

  6. Natural Frequency Analysis

  7. Critical Mesh Density

  8. k2 k3 k4 Beam Width Theoretical Approximation k1 • Treat beams 1 and 2 in parallel and beams 3 and 4 in parallel • Treat upper and lower suspension beams as a system of beams in series

  9. Theoretical Approximation Formula 1: Total stiffness of radial resonating mass. Formula 2: Stiffness of a beam where E is young’s modulus, h is beam height, w is beam width, and L is beam length. Formula 3: Natural frequency, f, related to the total stiffness, k, and mass, m, of the resonator.

  10. Better understand effects of beam width • imperfections on natural frequency of resonators • Improve future designs that account • for effects of imperfections

  11. Future Work • Compare actual natural frequencies of resonators to Finite Element Model • Measure changes in natural frequency due to imperfections • Develop a model to describe how natural frequency changes with imperfections

  12. Thanks to:Professor Andrei ShkelAlex Trusov, Adam Schofield, and Shkel GroupIMSURE program and facultyfellow student researchersZeiss LabsNSF

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