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Author:

Feng, Jingjing (Feng, Jingjing.) | Liu, Cheng (Liu, Cheng.) | Zhang, Wei (Zhang, Wei.) | Hao, Shuying (Hao, Shuying.)

Indexed by:

EI Scopus SCIE PubMed

Abstract:

The micro-electro-mechanical system (MEMS) resonator developed based on surface processing technology usually changes the section shape either due to excessive etching or insufficient etching. In this paper, a section parameter is proposed to describe the microbeam changes in the upper and lower sections. The effect of section change on the mechanical properties is studied analytically and verified through numerical and finite element solutions. A doubly-clamped microbeam-based resonator, which is actuated by an electrode on one side, is investigated. The higher-order model is derived without neglecting the effects of neutral plane stretching and electrostatic nonlinearity. Further, the Galerkin method and Newton-Cotes method are used to reduce the complexity and order of the derived model. First of all, the influence of microbeam shape and gap variation on the static pull-in are studied. Then, the dynamic analysis of the system is investigated. The method of multiple scales (MMS) is applied to determine the response of the system for small amplitude vibrations. The relationship between the microbeam shape and the frequency response is discussed. Results show that the change of section and gap distance can make the vibration soften, harden, and so on. Furthermore, when the amplitude of vibration is large, the frequency response softening effect is weakened by the MMS. If the nonlinearity shows hardening-type behavior at the beginning, with the increase of the amplitude, the frequency response will shift from hardening to softening behavior. The large amplitude in-well motions are studied to investigate the transitions between hardening and softening behaviors. Finally, the finite element analysis using COMSOL software (COMSOL Inc., Stockholm, Sweden) is carried out to verify the theoretical results, and the two results are very close to each other in the stable region.

Keyword:

MEMS processing error section parameter nonlinear vibration

Author Community:

  • [ 1 ] [Feng, Jingjing]Tianjin Univ Technol, Sch Mech Engn, Tianjin Key Lab Adv Mechatron Syst Design & Intel, Tianjin 300384, Peoples R China
  • [ 2 ] [Liu, Cheng]Tianjin Univ Technol, Sch Mech Engn, Tianjin Key Lab Adv Mechatron Syst Design & Intel, Tianjin 300384, Peoples R China
  • [ 3 ] [Hao, Shuying]Tianjin Univ Technol, Sch Mech Engn, Tianjin Key Lab Adv Mechatron Syst Design & Intel, Tianjin 300384, Peoples R China
  • [ 4 ] [Feng, Jingjing]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 5 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 6 ] [Feng, Jingjing]Tianjin Univ Technol, Natl Demonstrat Ctr Expt Mech & Elect Engn Educ, Tianjin 300384, Peoples R China
  • [ 7 ] [Liu, Cheng]Tianjin Univ Technol, Natl Demonstrat Ctr Expt Mech & Elect Engn Educ, Tianjin 300384, Peoples R China
  • [ 8 ] [Hao, Shuying]Tianjin Univ Technol, Natl Demonstrat Ctr Expt Mech & Elect Engn Educ, Tianjin 300384, Peoples R China

Reprint Author's Address:

  • [Feng, Jingjing]Tianjin Univ Technol, Sch Mech Engn, Tianjin Key Lab Adv Mechatron Syst Design & Intel, Tianjin 300384, Peoples R China;;[Hao, Shuying]Tianjin Univ Technol, Sch Mech Engn, Tianjin Key Lab Adv Mechatron Syst Design & Intel, Tianjin 300384, Peoples R China;;[Feng, Jingjing]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China;;[Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China;;[Feng, Jingjing]Tianjin Univ Technol, Natl Demonstrat Ctr Expt Mech & Elect Engn Educ, Tianjin 300384, Peoples R China;;[Hao, Shuying]Tianjin Univ Technol, Natl Demonstrat Ctr Expt Mech & Elect Engn Educ, Tianjin 300384, Peoples R China

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Source :

MICROMACHINES

ISSN: 2072-666X

Year: 2018

Issue: 1

Volume: 9

3 . 4 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:156

JCR Journal Grade:3

Cited Count:

WoS CC Cited Count: 14

SCOPUS Cited Count: 17

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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