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Abstract

A nanoscale beam model containing defect under the piezoelectricity considering the surface effects and flexoelectricity is established on the framework of Euler-Bernoulli theory. The governing equations of motion and related boundary conditions are derived by using Hamilton’s principle. The imperfect nanobeam is modeled by dividing the beam into two separate parts that are connected by a rotational and a longitude spring at the defect location. Analytical results on the free vibration response of the imperfect piezoelectric nanobeam exhibit that the flexoelectricity and the surface effects are sensitive to the boundary conditions, defect position, and geometry of the nanobeam. Numerical results are provided to predict the mechanical behavior of a weakened piezoelectric nanobeam considering the flexoelectric and surface effects. It is also revealed that the voltage, defect severity, and piezoelectric material have a critical role on the resonance frequency. The work is envisaged to underline the influence of surface effects and flexoelectricity on the free vibration of a cracked piezoelectric nanobeam for diverse boundary conditions. It should be mentioned, despite our R. Sourkiprevious works, an important class of piezoelectric materials used nowadays and called piezoelectric ceramics is considered in the current study.

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Authors and Affiliations

Marzie Bastanfar
1
Seyyed Amirhosein Hosseini
2
Reza Sourki
3
Farshad Khosravi
4

  1. Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran.
  2. Department of Industrial, Mechanical and Aerospace Engineering, Buein Zahra Technical University,Buein Zahra, Qazvin, Iran.
  3. School of Engineering, The University of British Columbia, Kelowna, Canada.
  4. Department of Aerospace Engineering, K.N. Toosi University of Technology, Tehran, Iran.
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Abstract

Operation of an electrically controlled beam steering device based on Rochon prism made by use of nematic liquid crystal is modelled numerically. Deflection angles and angular distribution of light intensity in the deflected beam are calculated. Dynamics of the device is studied. Advantage of application of dual frequency nematic liquid crystal is demonstrated. Role of flexoelectric properties of the nematic is analyzed.

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Authors and Affiliations

M. Buczkowska
G. Derfel

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