The influence of dispersion forces on the dynamic pull-in behavior of vibrating nano-cantilever based NEMS including fringing field effect

• Autorzy: Sedighi H. M. , Daneshmand F. , Zare J.

Identyfikatory

DOI

10.1016/j.acme.2014.01.004

• Języki publikacji: EN

Abstrakty

EN

Dynamic pull-in instability of vibrating nano-actuators in the presence of actuation voltage is studied in this paper through introducing the closed form expression for the fundamental frequency of beam-type nano-structure. The fringing field effect and dispersion forces (Casimir and van der Waals attractions) are taken into account in the dynamic governing equation of motion. The influences of initial amplitude of vibration, applied voltage and intermolecular forces on the dynamic pull-in behavior and fundamental frequency are investigated by a modern asymptotic approach namely Parameter Expansion Method (PEM). It is demonstrated that two terms in series expansions are sufficient to produce an acceptable solution of the actuated nano-structure. The obtained results from numerical methods by considering three mode assumptions verify the strength of the analytical procedure. The qualitative analysis of system dynamic shows that the equilibrium points of the autonomous system include stable center points and unstable saddle nodes. The phase portraits of the nano-beam actuator exhibit periodic and homoclinic orbits.

Słowa kluczowe

EN

dynamic pull-in instability; dispersion forces; Parameter Expansion Method; second-order frequency–amplitude relation

PL

amplituda drgań; siłownik; nanostruktura

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2014
• Tom: Vol. 14, no. 4
• Strony: 766--775
• Opis fizyczny: Bibliogr. 42 poz., rys., wykr.

Twórcy

autor

Sedighi H. M.

• Department of Mechanical Engineering, Faculty of Engineering, Shahid Chamran University, Ahvaz 61357-43337, Iran

autor

Daneshmand F.

• Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, Quebec, Canada H3A 2K6
• Department of Bioresource Engineering, McGill University, 21111 Lakeshore Road, Sainte-Anne-de-Bellevue, Quebec, Canada H9X 3V9

autor

Zare J.

• Department of Mechanical Engineering, Faculty of Engineering, Shahid Chamran University, Ahvaz 61357-43337, Iran

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