Effects of voltage change on the dynamics in a comb-drive finger of an electrostatic actuator

Alexander Gutierrez; Daniel Elías Nuñez Lopez; Andrés  Rivera

doi:10.1016/j.ijnonlinmec.2017.05.008

Effects of voltage change on the dynamics in a comb-drive finger of an electrostatic actuator

Universidad Tecnológica de Pereira

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Here we consider a transverse comb-drive device with one moveable finger between two fixed ones when a harmonic load driven DC–AC voltage V_δ(t)=v₀+δv(t), v(t)∈C(R∕TZ), v₀-constant and δ∈[0,Δ_c] is added for some appropriate Δ_c. By means of the Leray–Schauder Continuation Theorem we find families of symmetric periodic solutions emanating from the DC-voltage case (δ=0) for all positive values of the parameter δ, providing qualitative and quantitative information of this families for a computable Δ_c avoiding collision of the fingers.

Translated title of the contribution	Efectos del cambio de voltaje sobre la dinámica en un actuador electrostático tipo-peine
Original language	English
Pages (from-to)	224-232
Number of pages	9
Journal	International Journal of Non-Linear Mechanics
Volume	95
Issue number	1
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2017.05.008 https://doi.org/10.1016/j.ijnonlinmec.2017.05.008
State	Published - Oct 2017

Access to Document

Cite this

@article{fa00ddb8967141a99adae8c71f9ab802,

title = "Effects of voltage change on the dynamics in a comb-drive finger of an electrostatic actuator",

abstract = "Here we consider a transverse comb-drive device with one moveable finger between two fixed ones when a harmonic load driven DC–AC voltage Vδ(t)=v0+δv(t), v(t)∈C(R∕TZ), v0-constant and δ∈[0,Δc] is added for some appropriate Δc. By means of the Leray–Schauder Continuation Theorem we find families of symmetric periodic solutions emanating from the DC-voltage case (δ=0) for all positive values of the parameter δ, providing qualitative and quantitative information of this families for a computable Δc avoiding collision of the fingers.",

keywords = "Microelectromechanical Systems (MEMS), Periodic solutions, Implicit function theorem, Global continuation method",

author = "Alexander Gutierrez and \{Nu{\~n}ez Lopez\}, \{Daniel El{\'i}as\} and Andr{\'e}s Rivera",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Ltd",

year = "2017",

month = oct,

doi = "10.1016/j.ijnonlinmec.2017.05.008",

language = "English",

volume = "95",

pages = "224--232",

journal = "International Journal of Non-Linear Mechanics",

issn = "0020-7462",

publisher = "Elsevier Ltd.",

number = "1",

}

TY - JOUR

T1 - Effects of voltage change on the dynamics in a comb-drive finger of an electrostatic actuator

AU - Gutierrez, Alexander

AU - Nuñez Lopez, Daniel Elías

AU - Rivera, Andrés

PY - 2017/10

Y1 - 2017/10

N2 - Here we consider a transverse comb-drive device with one moveable finger between two fixed ones when a harmonic load driven DC–AC voltage Vδ(t)=v0+δv(t), v(t)∈C(R∕TZ), v0-constant and δ∈[0,Δc] is added for some appropriate Δc. By means of the Leray–Schauder Continuation Theorem we find families of symmetric periodic solutions emanating from the DC-voltage case (δ=0) for all positive values of the parameter δ, providing qualitative and quantitative information of this families for a computable Δc avoiding collision of the fingers.

AB - Here we consider a transverse comb-drive device with one moveable finger between two fixed ones when a harmonic load driven DC–AC voltage Vδ(t)=v0+δv(t), v(t)∈C(R∕TZ), v0-constant and δ∈[0,Δc] is added for some appropriate Δc. By means of the Leray–Schauder Continuation Theorem we find families of symmetric periodic solutions emanating from the DC-voltage case (δ=0) for all positive values of the parameter δ, providing qualitative and quantitative information of this families for a computable Δc avoiding collision of the fingers.

KW - Microelectromechanical Systems (MEMS)

KW - Periodic solutions

KW - Implicit function theorem

KW - Global continuation method

UR - https://www.scopus.com/pages/publications/85022042974

U2 - 10.1016/j.ijnonlinmec.2017.05.008

DO - 10.1016/j.ijnonlinmec.2017.05.008

M3 - Article

AN - SCOPUS:85022042974

SN - 0020-7462

VL - 95

SP - 224

EP - 232

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

IS - 1

ER -

Effects of voltage change on the dynamics in a comb-drive finger of an electrostatic actuator

Abstract

Access to Document

Other files and links

Fingerprint

Cite this