Investigation of Nonlinear Pull-in Phenomena in Functionally Graded Micro-Beams under Electrostatic Excitation

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Andakhshideh A.; MALEKI S.; MARASHI S.S.

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Paper Information

Journal: JOURNAL OF SOLID AND FLUID MECHANICS Year:2018 | Volume:8 | Issue:3 Page(s): 137-151

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Information Journal Paper

Title

Investigation of Nonlinear Pull-in Phenomena in Functionally Graded Micro-Beams under Electrostatic Excitation

Author(s)

Andakhshideh A. | MALEKI S. | MARASHI S.S. | Issue Writer Certificate

Keywords

Micro-beamQ1

Functionally graded materialQ1

Pull-in VoltageQ1

Electrostatic LoadingQ1

Nonlinear LoadingQ1

Abstract

In this research, the behavior of functionally graded Micro-beams under electrostatic excitation is investigated. The system model is developed based on Euler-Bernoulli and Modified Couple Stress sizedependent theories. The potential strain energy and the potential electrostatic energy are written for the microbeam by considering, the effects of electrostatic excitation and mid-layer stretching. In order to solve the nonlinear governing equation, Generalized Differential Quadrature method and the NewtonRaphson method are used. To develop the Pull-in Voltage through the numerical results, a novel algorithm is developed. In numerical results of this research, the Pull-in Voltage variation with respect to the functionally graded Micro-beam stiffness distribution and initial gap of Micro-beam is studied. Results show that increasing the Micro-beam equivalent stiffness or beams initial gap, will increase the Pull-in Voltage. The boundary conditions effect on the Micro-beam Pull-in Voltage is also studid in the numerical results.

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APA: Copy

Andakhshideh, A., MALEKI, S., & MARASHI, S.S.. (2018). Investigation of Nonlinear Pull-in Phenomena in Functionally Graded Micro-Beams under Electrostatic Excitation. JOURNAL OF SOLID AND FLUID MECHANICS, 8(3 ), 137-151. SID. https://sid.ir/paper/393514/en

Vancouver: Copy

Andakhshideh A., MALEKI S., MARASHI S.S.. Investigation of Nonlinear Pull-in Phenomena in Functionally Graded Micro-Beams under Electrostatic Excitation. JOURNAL OF SOLID AND FLUID MECHANICS[Internet]. 2018;8(3 ):137-151. Available from: https://sid.ir/paper/393514/en

IEEE: Copy

A. Andakhshideh, S. MALEKI, and S.S. MARASHI, “Investigation of Nonlinear Pull-in Phenomena in Functionally Graded Micro-Beams under Electrostatic Excitation,” JOURNAL OF SOLID AND FLUID MECHANICS, vol. 8, no. 3 , pp. 137–151, 2018, [Online]. Available: https://sid.ir/paper/393514/en

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