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Author:

Wang, Binglei (Wang, Binglei.) | Zhou, Shenjie (Zhou, Shenjie.) | Zhao, Junfeng (Zhao, Junfeng.) | Chen, Xi (Chen, Xi.)

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Abstract:

The size-dependent pull-in voltage of electrostatically actuated MEMS is studied using strain gradient elasticity. The microbeam model and microplate model are derived respectively via the principle of minimum potential energy. The generalized differential quadrature method and pseudo arclength algorithm are used to solve the high-order PDEs. It is shown that the normalized pull-in voltage predicted by the new models increases nonlinearly with the decrease of the structure thickness, exhibiting size effect (and the size effect is particularly strong when the structural thickness is on the same order of the characteristic material length scale parameter); while the corresponding classical models do not exhibit such a size effect. The two new models may be regarded as extensions of the corresponding classical ones. This study may be helpful to characterize the mechanical properties of small sized MEMS, or guide the design of microstructures for a wide range of potential applications.

Keyword:

Classical model Generalized differential quadrature methods High order PDEs Material length scale Principle of minimum potential energy Pull-in voltage Size dependent Strain gradient elasticity

Author Community:

  • [ 1 ] [Wang, Binglei;Zhao, Junfeng]School of Civil Engineering, Shandong University, Jinan 250061, China
  • [ 2 ] [Zhou, Shenjie;Zhao, Junfeng]School of Mechanical Engineering, Shandong University, Jinan 250061, China
  • [ 3 ] [Wang, Binglei;Chen, Xi]Department of Earth and Environmental Engineering, Columbia University, New York, NY 10027, United States
  • [ 4 ] [Chen, Xi]School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China

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Source :

Guti Lixue Xuebao/Acta Mechanica Solida Sinica

ISSN: 0254-7805

Year: 2011

Issue: 6

Volume: 32

Page: 541-548

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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