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Advances in Nano Research Volume 7, Number 2, March 2019 , pages 77-88 DOI: https://doi.org/10.12989/anr.2019.7.2.077 |
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Surface effects on scale-dependent vibration behavior of flexoelectric sandwich nanobeams |
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Farzad Ebrahimi, Mahsa Karimiasl, Ömer Civalek and Mahesh Vinyas
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| Abstract | ||
| This paper infer the transient vibration of piezoelectric sandwich nanobeams, In present work, the flexoelectric effect on the mechanical properties of vibration piezoelectric sandwich nanobeam with different boundary conditions is investigated. According to the Nonlocal elasticity theory in nanostructures, the flexoelectricity is believed to be authentic for such size-dependent properties. The governing equations are derived by Hamilton*$39;s principle and boundary condition solved by Galerkin-based solution. This research develops a nonlocal flexoelectric sandwich nanobeam supported by Winkler-Pasternak foundation. The results of this work indicate that natural frequencies of a sandwich nanobeam increase by increasing the Winkler and Pasternak elastic constant. Also, increasing the nonlocal parameter at a constant length decreases the natural frequencies. By increasing the length to thickness ratio (L/h) of nanobeam, the nonlocal frequencies reduce. | ||
| Key Words | ||
| vibration; piezoelectric sandwich nanobeam; flexoelectricity; surface effect; nonlocal elasticity theory; thermal effect | ||
| Address | ||
| (1) Farzad Ebrahimi, Mahsa Karimiasl: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran (2) Ömer Civalek: Akdeniz University, Engineering Faculty, Civil Engineering Dept., Division of Mechanics, 07058 Antalya, Turkey; (3) Mahesh Vinyas: Department of Mechanical Engineering, Nitte Meenakshi Institute of Technology, Yelahanka, Bangalore, India. | ||