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Advances in Materials Research
  Volume 8, Number 3, December 2019 , pages 237-257
DOI: https://doi.org/10.12989/amr.2019.8.3.237
 

Analyzing large-amplitude vibration of nonlocal beams made of different piezo-electric materials in thermal environment
Ahmed K. Muhammad, Luay Badr Hamad, Raad M. Fenjan and Nadhim M. Faleh

 
Abstract
    The present article researches large-amplitude thermal free vibration characteristics of nonlocal two-phase piezo-magnetic nano-size beams having geometric imperfections by considering piezoelectric reinforcement scheme. The piezoelectric reinforcement can cause an enhanced vibration behavior of smart nanobeams under magnetic field. All previous studies on vibrations of piezoelectric-magnetic nano-size beams ignore the influences of geometric imperfections which are crucial since a nanobeam is not always ideal or perfect. Nonlinear governing equations of a smart nanobeam are derived based on classical beam theory and an analytical trend is provided to obtain nonlinear vibration frequency. This research shows that changing the volume fraction of piezoelectric phase in the material has a great influence on vibration behavior of smart nanobeam under electric and magnetic fields. Also, it can be seen that nonlinear vibration behaviors of smart nanobeam is dependent on the magnitude of exerted electric voltage, magnetic imperfection amplitude and substrate constants.
 
Key Words
    piezo-magnetic nanobeam; geometrical imperfection; thermal vibration; piezoelectric reinforcement; electric voltage
 
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