Analytical modeling of static behavior of electrostatically actuated nano/micromirrors considering van der Waals forces

This paper investigates electrostatically actuated Double Walled Carbon Nanotubes (DWCNT) cantilever biosensors using the Method of Multiple Scales (MMS) and the Harmonic Balance Method (HBM). Forces acting on the outer tube of the DWCNT are electrostatic, damping, and van der Waals, while only van der Waals acts on the inner tube. The electrostatic actuation is provided by a soft AC voltage. Van der Waals forces are present between the carbon nanotubes, coupling the deflections of the tubes; herein, for modal coordinate transformation, only the linear term of the van der Waals force will be considered. The nonlinearity of the motion is produced by the electrostatic and van der Waals forces. The DWCNT undergoes nonlinear parametric dynamics. MMS is employed to investigate the system under soft excitations and/or weak nonlinearities. The frequency-amplitude response is found in the case of primary resonance. DWCNTs are modelled after the Euler-Bernoulli cantilever beam. The expected nonlinear dynamic behavior is important to improve DWCNT resonator sensitivity in the application of mass sensing.

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Casimir and Van der Waals Effects on Voltage Response of Electrostatically Actuated MEMS/NEMS Plates

Volume 2: Diagnostics and Detection; Drilling; Dynamics and Control of Wind Energy Systems; Energy Harvesting; Estimation and Identification; Flexible and Smart Structure Control; Fuels Cells/Energy Storage; Human Robot Interaction; HVAC Building Energy Management; Industrial Applications; Intelligent Transportation Systems; Manufacturing; Mechatronics; Modelling and Validation; Motion and Vibration Control Applications ◽

10.1115/dscc2015-9775 ◽

2015 ◽

Author(s):

Dumitru I. Caruntu ◽

Reynaldo Oyervides ◽

Valeria Garcia

Keyword(s):

Natural Frequency ◽

Parametric Resonance ◽

Electrostatic Force ◽

Van Der Waals ◽

Van Der Waals Forces ◽

Voltage Response ◽

Voltage Amplitude ◽

Amplitude Response ◽

Electrostatically Actuated ◽

Ground Plate

This paper deals with electrostatically actuated MEMS plates. The model consists of a flexible MEMS plate above a parallel ground plate. An AC voltage of frequency near natural frequency of the plate provides the electrostatic force that actuates the flexible MEMS plate. This leads to parametric resonance. The effect of Casimir and/or van der Waals forces on the voltage-amplitude response of the plate is investigated.

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Frequency Response of Parametric Resonance of Double Wall Carbon Nanotube Under Electrostatic Actuation

Volume 8: 29th Conference on Mechanical Vibration and Noise ◽

10.1115/detc2017-67367 ◽

2017 ◽

Author(s):

Dumitru I. Caruntu ◽

Ezequiel Juarez

Keyword(s):

Carbon Nanotubes ◽

Carbon Nanotube ◽

Parametric Resonance ◽

Multiple Scales ◽

Van Der Waals ◽

Nonlinear Behavior ◽

Van Der Waals Forces ◽

Electrostatic Actuation ◽

Beam Model ◽

Electrostatically Actuated

This paper deals with electrostatically actuated Double Walled Carbon Nanotubes (DWCNT) cantilevered resonators. The governing equations for the motion of the DWCNT are derived through Euler-Bernoulli beam model assumptions that account for inertial and viscoelastic effects. The DWCNT is a specific type of multi-walled carbon nanotube (MWCNT) that is comprised of two coaxially concentric carbon nanotubes. Electrostatic, damping, and intertube van der Waals forces act on the outer tube of the DWCNT, while only intertube van der Waals force acts on the inner tube. A soft AC voltage provides the electrostatic actuation. The nonlinear behavior and phenomena in the system are provided by the electrostatic and intertube van der Waals forces. The DWCNT is subjected to nonlinear parametric dynamics. The Method of Multiple Scales (MMS) is employed to investigate the system under soft excitations and/or weak nonlinearities. The frequency-amplitude response is found in the case of parametric resonance. The resulting nonlinear dynamic behavior is important to improve DWCNT resonator sensitivity in the application of mass sensing.

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Frequency Response of Primary Resonance of Double Wall Carbon Nanotube Under Electrostatic Actuation

Volume 8: 28th Conference on Mechanical Vibration and Noise ◽

10.1115/detc2016-59566 ◽

2016 ◽

Author(s):

Dumitru I. Caruntu ◽

Ezequiel Juarez

Keyword(s):

Carbon Nanotubes ◽

Multiple Scales ◽

Van Der Waals ◽

Primary Resonance ◽

Harmonic Balance Method ◽

Van Der Waals Forces ◽

Electrostatic Actuation ◽

Van Der Waals Force ◽

Order Problem ◽

Electrostatically Actuated

This paper deals with electrostatically actuated Double Walled Carbon Nanotubes (DWCNT) cantilever resonators. DWCNTs are modeled as Euler-Bernoulli cantilever beams. Electrostatic, damping, and van der Waals, forces act on the outer tube of the DWCNT, while only van der Waals force acts on the inner tube. A soft AC voltage provides the electrostatic actuation. Van der Waals forces are present between the carbon nanotubes, coupling the deflections of the tubes. The nonlinearities in the system are given by the electrostatic and van der Waals forces. The DWCNT undergoes nonlinear parametric dynamics. The Method of Multiple Scales (MMS) is employed to investigate the system under soft excitations and/or weak nonlinearities. A modal coordinate transformation, in which only the linear term of the van der Waals force are considered, and the Harmonic Balance Method (HBM), are used to solve the zero-order problem. Then the frequency-amplitude response is found in the case of primary resonance. The expected nonlinear dynamic behavior is important to improve DWCNT resonator sensitivity in the application of mass sensing.

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Self-Assembly of a Chiral Cubic Three-Connected Net from the High Symmetry Molecules C60 and SnI4

10.26434/chemrxiv.12196788 ◽

2020 ◽

Author(s):

Daniel B. Straus ◽

Robert J. Cava

Keyword(s):

Organic Synthesis ◽

Self Assembly ◽

Van Der Waals ◽

Van Der Waals Forces ◽

High Symmetry ◽

Molecular Chirality ◽

Chiral Materials ◽

Self Assembled ◽

Chiral Centers

The design of new chiral materials usually requires stereoselective organic synthesis to create molecules with chiral centers. Less commonly, achiral molecules can self-assemble into chiral materials, despite the absence of intrinsic molecular chirality. Here, we demonstrate the assembly of high-symmetry molecules into a chiral van der Waals structure by synthesizing crystals of C60(SnI4)2 from icosahedral buckminsterfullerene (C60) and tetrahedral SnI4 molecules through spontaneous self-assembly. The SnI4 tetrahedra template the Sn atoms into a chiral cubic three-connected net of the SrSi2 type that is held together by van der Waals forces. Our results represent the remarkable emergence of a self-assembled chiral material from two of the most highly symmetric molecules, demonstrating that almost any molecular, nanocrystalline, or engineered precursor can be considered when designing chiral assemblies.

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Size effect on the static behavior of electrostatically actuated microbeams

Acta Mechanica Sinica ◽

10.1007/s10409-011-0449-z ◽

2011 ◽

Vol 27 (3) ◽

pp. 445-451 ◽

Cited By ~ 38

Author(s):

Li Yin ◽

Qin Qian ◽

Lin Wang

Keyword(s):

Size Effect ◽

Static Behavior ◽

Electrostatically Actuated

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Nanotube‐Based 1D Heterostructures Coupled by van der Waals Forces

Small ◽

10.1002/smll.202102585 ◽

2021 ◽

pp. 2102585

Author(s):

Sofie Cambré ◽

Ming Liu ◽

Dmitry Levshov ◽

Keigo Otsuka ◽

Shigeo Maruyama ◽

...

Keyword(s):

Van Der Waals ◽

Van Der Waals Forces

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Tuning adlayer-substrate interactions of graphene/h-BN heterostructures on Cu(111)–Ni and Ni(111)–Cu surface alloys

RSC Advances ◽

10.1039/d0ra08622c ◽

2021 ◽

Vol 11 (4) ◽

pp. 1916-1927

Author(s):

Jianmei Huang ◽

Qiang Wang ◽

Pengfei Liu ◽

Guang-hui Chen ◽

Yanhui Yang

Keyword(s):

Long Range ◽

Van Der Waals ◽

Van Der Waals Forces ◽

Alloy Surface ◽

Surface Alloys ◽

Substrate Interactions

The evolution of the interface and interaction of h-BN and graphene/h-BN (Gr/h-BN) on Cu(111)–Ni and Ni(111)–Cu surface alloys versus the Ni/Cu atomic percentage on the alloy surface were comparatively studied by DFT-D2, including critical long-range van der Waals forces.

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