Journal ArticleDOI
Effects of Rotary Inertia and Shear Deformation on Nonlinear Free Vibration of Microbeams
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In this article, the effects of shear deformation and rotary inertia on the large amplitude vibration of a doubly clamped microbeam are investigated, and the results show that nonlinearity acts in the direction of increasing the natural frequency of the doubly-clamped microbeams.Abstract:
In this paper, the large amplitude free vibration of a doubly clamped microbeam is considered. The effects of shear deformation and rotary inertia on the large amplitude vibration of the microbeam are investigated. To this end, first Hamilton’s principle is used in deriving the partial differential equation of the microbeam response under the mentioned conditions. Then, implementing the Galerkin’s method the partial differential equation is converted to an ordinary nonlinear differential equation. Finally, the method of multiple scales is used to determine a second-order perturbation solution for the obtained ODE. The results show that nonlinearity acts in the direction of increasing the natural frequency of the doubly clamped microbeam. Shear deformation and rotary inertia have significant effects on the large amplitude vibration of thick and short microbeams.read more
Citations
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Journal ArticleDOI
Large amplitude nonlinear vibration analysis of functionally graded Timoshenko beams with porosities
Farzad Ebrahimi,Majid Zia +1 more
TL;DR: In this paper, the large-amplitude nonlinear vibration characteristics of functionally graded (FG) Timoshenko beams made of porous material is investigated for the first time and the governing equations are derived based on Timoshenko beam theory through Hamilton's principle and they are solved utilizing both Galerkin's method and the method of multiple scales.
Journal ArticleDOI
Towards self-powered sensing using nanogenerators for automotive systems
TL;DR: In this article, the potential of nanogenerators for developing new self-powered sensors for automotive applications, which in the near future, will be an indispensable part of the active safety systems in production cars, is also discussed.
Journal ArticleDOI
A homotopy perturbation analysis of nonlinear free vibration of Timoshenko microbeams
TL;DR: In this paper, He's Homotopy Perturbation Method (HPM) is used to analyze the nonlinear free vibrational behavior of clamped-clamped and clamped free microbeams considering the effects of rotary inertia and shear deformation.
Journal ArticleDOI
Nonlinear modelling and dynamic analysis of cracked Timoshenko functionally graded beams based on neutral surface approach
B. Panigrahi,G. Pohit +1 more
TL;DR: In this paper, Timoshenko beam theory followed by Ritz approximation and an iterative technique to deal nonlinear free vibration problems of cracked Functionally Graded Material (FGM) be...
Journal ArticleDOI
Coupled Flexural-Torsional Nonlinear Vibrations of Piezoelectrically Actuated Microcantilevers With Application to Friction Force Microscopy
S. Nima Mahmoodi,Nader Jalili +1 more
TL;DR: In this article, the problem of coupled flexural-torsional nonlinear vibrations of a piezoelectrically actuated microcantilever beam is investigated.
References
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Journal ArticleDOI
Mechanical parametric amplification and thermomechanical noise squeezing.
Daniel Rugar,Peter Grutter +1 more
TL;DR: A mechanical degenerate parametric amplifier has been devised which greatly increases the motional response of a microcantilever for small harmonic force excitations and can improve force detection sensitivity for measurements dominated by sensor noise or backaction effects.
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Nanodevice motion at microwave frequencies
TL;DR: The construction of nanodevices that will operate with fundamental frequencies in the previously inaccessible microwave range (greater than 1 gigahertz) is described, representing a significant advance in the quest for extremely high-frequency nanoelectromechanical systems.
Journal ArticleDOI
Five parametric resonances in a microelectromechanical system
Kimberly L. Turner,Scott A. Miller,Scott A. Miller,Peter G. Hartwell,Noel C. MacDonald,Steven H. Strogatz,Scott G. Adams +6 more
TL;DR: In this article, the authors report parametrically excited torsional oscillations in a single-crystal silicon microelectromechanical system, which can provide a unique testing ground for dynamical phenomena that are difficult to detect in macroscopic systems.
Journal ArticleDOI
Effect of cubic nonlinearity on auto-parametrically amplified resonant MEMS mass sensor
TL;DR: In this article, the effects of nonlinearity on the behavior of parametric resonance of a micro-machined oscillator were investigated. And the authors showed that the nonlinearities (electrostatic and mechanical) have a large impact on the dynamic response of the structure.