Skip to main content

Advertisement

Log in

Analytical analysis and experimental investigation of energy loss mechanisms in rocking mass microgyroscope

  • Technical Paper
  • Published:
Microsystem Technologies Aims and scope Submit manuscript

Abstract

Rocking mass microgyroscope (ab. RMG) is an axial-symmetry vibratory microgyroscope with uniform vibratory type and equal nature frequency in ideal conditions; thus it has potential to be the microgyroscope with high sensitivity, and is the research hotspot now. One key factor which affects the sensitivity of RMG is its Q factors, which are related to various energy loss mechanisms in its vibrating micro-structure. Air damping, support loss, thermoelastic damping, base energy loss, and other energy loss mechanisms for RMG are systematically researched, relevant analytical models are solved, and the influences of its structural parameters on Q factors are also analyzed. Results indicate that: air damping is the dominant energy loss for RMG in the air, which means vacuum encapsulation technique must be adopted; support loss, thermoelastic damping and base energy loss are important energy loss mechanisms for RMG in vacuum packages, via synthetically analyzing all analytical models solved. Experimental investigations partially validate conclusions above.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Abdolvand R, Johari H, Ho GK et al (2006) Quality factor in trench-refilled polysilicon beam resonators. J Microelectromech Syst 15(3):471–478

    Article  Google Scholar 

  • Abroad F, Khan A (1999) Thermoelastic plane waves in a rotating isotropic medium. J Acoust Soc Am 136:243–247

    Google Scholar 

  • Acar C, Shkel A (2009) MEMS vibratory gyroscopes structural approaches to improve robustness. Springer, New York, pp 106–107

    Book  Google Scholar 

  • Alper SE, Azgin K, Akin T (2007) A high-performance silicon-on-insulator MEMS gyroscope operating at atmospheric pressure. Sens Actuators A 135(1):34–42

    Article  Google Scholar 

  • Ansari M, Esmailzadeh E, Jalili N (2009) Coupled vibration and parameter sensitivity analysis of rocking mass vibrating gyroscopes. J Sound Vib 327(6):564–583

    Article  Google Scholar 

  • Bae YS, Haywonh KJ, Yee KY et al (2002) High performance MEMS microgyroscope. In: SPIE, vol 4755

  • Bao MH (2005) Analysis and design principles of MEMS devices. Elsevier, Amsterdam, pp 60–62

    Google Scholar 

  • Bao MH, Yang H, Yin H et al (2002) Energy transfer model for squeeze-film air damping in low vacuum. J Micromech Microeng 6:341–346

    Article  Google Scholar 

  • Bao MH, Sun YC, Zhou J et al (2006) Squeeze-film Air damping of a torsion mirror at a finite tilting angle. J Micromech Microeng 8:2330–2335

    Article  Google Scholar 

  • Biot MA (1956) Thermoelasticity and irreversible thermodynamics. J Appl Phys 27:240–253

    Article  MathSciNet  MATH  Google Scholar 

  • Chadwick P (1960) Thermoelasticity: the dynamical theory. Prog Solid Mech 1:265–328

    Google Scholar 

  • Christian R (1966) The theory of oscillating-vane vacuum gauges. J Vac 16:175–178

    Article  Google Scholar 

  • Grossman A, Erley W, Hannon JB et al (1996) Giant surface stress in heteroepitaxial films: invalidation of a classical rule in epitaxy. Phys Rev Lett 77:127–130

    Article  Google Scholar 

  • Hao ZL, Ayazi F (2005) Thermoelastic damping in flexural mode ring gyroscope. In: Proceedings of IMECE 2005: ASME international mechanical engineering congress and exposition, Orlando, vol 11, pp 1–9

  • Hao ZL, Zaman MF, Sharma A et al (2006) Energy loss mechanisms in a bulk micromachined tuning fork gyroscope. In: IEEE Sensors 2006, Daegu, Korea, vol 10, pp 1333–1336

  • Ibach H (1994) Adsorbate induced surface stress. J Vac Sci Technol A 12:2240–2245

    Article  Google Scholar 

  • Keymeulen D, Fink W, Ferguson MI et al (2004) Tuning of MEMS devices using evolutionary computation and open-loop frequency response. In: IEEEAC, vol 12, pp 1–8

  • Keymeulen D, Ferguson MI, Breuer L et al (2006) Tuning of MEMS gyroscope using evolutionary algorithm and “switched drive-angle” method. In: IEEEAC, vol 1, pp 1–8

  • Kotru S, Zhong J, Highsmith A et al (2008) Design and fabrication of a meso-scale gyroscope. In: Proceedings of the 2008 IEEE workshop on microelectronics and electron devices, pp 5–8

  • Kotru S, Zhong J, Highsmith A et al (2010) Feasibility study of a micromachined single-axis vibratory gyroscope using piezoelectric PNZT thin films for actuation and sensing. Smart Mater Struct 6:1–11

    Article  Google Scholar 

  • Lifshitz R, Roukes ML (2000) Thermoelastic damping in micro and nanomechanical systems. Phys Rev B 61(8):5600–5608

    Article  Google Scholar 

  • Nowick AS, Berry BS (1972) Anelastic relaxation in crystalline solids. Academic Press, New York

    Google Scholar 

  • Pandey AK, Pratap R (2008) A semi-analytical model for squeeze-film damping including rarefaction in a MEMS torsion mirror with complex geometry. J Micromech Microeng 9:1–12

    Google Scholar 

  • Sander D, Tian Z, Kirschner J (1997) The role of surface stress in reconstruction, epitaxial growth and stabilization of mesoscopic structures. Surf Sci Rep 29:193–263

    Google Scholar 

  • Wang FY, Wang FB, Cai SF et al (2002) Higher mathematics. Higher Education Publishing Company, Beijing, pp 311–316 (in Chinese)

    Google Scholar 

  • Wang X, Xiao DB, Zhou ZL et al (2011) Support loss and Q factor enhancement for a rocking mass microgyroscope. Sensors 11:9807–9819

    Article  Google Scholar 

  • Yasumura KY, Stowe TD, Chow EM et al (2000) Quality factors in micron and submicron thick cantilevers. J Microelectromech Syst 9:117–125

    Article  Google Scholar 

  • Zener C (1937) Internal friction in solids. Phys Rev 52:230–235

    Article  MATH  Google Scholar 

  • Zener C (1938) Internal friction in solids. Phys Rev 53:90–101

    Article  MATH  Google Scholar 

  • Zener C (1948) Elasticity and anelasticity of metals. The University of Chicago Press, Chicago

    MATH  Google Scholar 

Download references

Acknowledgments

The authors would like to thank the Laboratory of Microsystem, National University of Defense Technology, China, for equipment access and technical support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiong Wang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, X., Xu, X., Zhu, T. et al. Analytical analysis and experimental investigation of energy loss mechanisms in rocking mass microgyroscope. Microsyst Technol 23, 1–12 (2017). https://doi.org/10.1007/s00542-015-2713-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00542-015-2713-2

Keywords

Navigation