Skip to main content
Log in

Estimation of the mechanical stiffness constant of MEMS-based parallel-plate micro-actuators

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

Abstract

The fabrication and testing of a parallel plate MEMS electrostatic micro-actuator is reported. The device consists of stationary bulk silicon and movable membrane chips with three spring-like x-beam configurations fabricated from a silicon on insulator (SOI) wafer. A SU-8 photoresist layer was deposited on the stationary chip to act as a spacer since its thickness determines the electrostatic force that can be applied. This in turn has an effect on the displacement of the micro-actuator. We investigated the effects of the applied voltage on the displacement of movable x-beam membranes for different arm designs with similar surface areas. We achieved maximum stable displacements of 8.75 µm and 9.89 µm for spacer thicknesses of 28 µm and 33 µm at 95 VDC and 128 VDC, respectively, for a serpentine arm design. Beyond these voltages, we found the displacement of the micro-actuator tended to be non-uniform and unstable. We also estimated the mechanical stiffness constants of our x-beam designs from the snap-in conditions. Our estimates for various spacer thicknesses were within 5% of one another.

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

Similar content being viewed by others

References

  • Adams TM, Layton RA (2010) Introductory MEMS fabrication and applications. Springer, Berlin, p 173

    Google Scholar 

  • Balakrisnan B, Nacev A, Burke JM, Dasguptal A, Smela E (2012) Design of compliant meanders for applications in MEMS actuators, and flexible electronics. Smart Mater Struct 3669:149

    Google Scholar 

  • Born M, Wolf E (1993) Principles of optics, 6th edn. Pergamon, Oxford, p 325

    Google Scholar 

  • Busta H, Amantea R, Furst D, Chen JM, Turowski M, Mueller C (2001) A MEMS shield structure for controlling pull-in forces and obtaining increased pull-in voltages. J Micromech Micro Eng 11:720

    Article  Google Scholar 

  • Chuang WC, Lee HL, Chang PZ, Hu YC (2010) Review on the modeling of electrostatic MEMS. Sensors 10:6149

    Article  Google Scholar 

  • Elliot RS (1999) Electromagnetics: history, theory, and applications, 1st edn. Wiley-IEEE Press, Hoboken

    Book  Google Scholar 

  • Hernandez G (1988) Fabry-Perot interferometers. Cambridge University Press, London, p 46

    Google Scholar 

  • Hung ES, Senturia SD (1999) Extending the travel range of analog-tuned electrostatic actuators. J Microelectromech Syst 8:497

    Article  Google Scholar 

  • Lishchynska M, O’mahony C, Slattery O, Behan R (2006) Spring constant models for analysis and design of MEMS plates on straight or meander tethers. Sensor Lett 4:200

    Article  Google Scholar 

  • Sam Jebar Kumar J, Amoatey Tetteh E, Paul Braineard E (2014) A study of why electrostatic actuation is preferred and a simulation of an electrostatically actuated cantilever beam for MEMS applications. I J Eng Sci Emerg Technol 6:441

    Google Scholar 

  • Seeger J, Boser B (2003) Charge control of parallel-plate electrostatic actuators and the tip-in instability. J Microelectromech Syst 12:656

    Article  Google Scholar 

  • Shiyun X, Yugang S, Chunsen T, Long C (2015) Research on Meander-type coupled structure of capacitively coupled power transfer system. WSEAS Transact Circuits Syst 14:247

    Google Scholar 

  • Tachi S, Tsujimoto K, Ninomiya K, Suzuki K, Okudaira S (1987) Low temperature reactive ion etching and microwave plasma etching of silicon. Appl Phys Lett 52:616

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge EPIR Technologies, Inc. for funding this work.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Deginet Admassu.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Admassu, D., Durowade, T., Velicu, S. et al. Estimation of the mechanical stiffness constant of MEMS-based parallel-plate micro-actuators. Microsyst Technol 27, 2751–2759 (2021). https://doi.org/10.1007/s00542-020-05022-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00542-020-05022-1

Navigation