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Smart Structures and Systems
  Volume 22, Number 1, July 2018 , pages 27-40
DOI: https://doi.org/10.12989/sss.2018.22.1.027
 


Size-dependent free vibration and dynamic analyses of a sandwich microbeam based on higher-order sinusoidal shear deformation theory and strain gradient theory
Mohammad Arefi, Elyas Mohammad-Rezaei Bidgoli and Ashraf M. Zenkour

 
Abstract
    The governing equations of motion are derived for analysis of a sandwich microbeam in this paper. The sandwich microbeam is including an elastic micro-core and two piezoelectric micro-face-sheets. The microbeam is subjected to transverse loads and two-dimensional electric potential. Higher-order sinusoidal shear deformation beam theory is used for description of displacement field. To account size dependency in governing equations of motion, strain gradient theory is used to mention higher-order stress and strains. An analytical approach for simply-supported sandwich microbeam with short-circuited electric potential is proposed. The numerical results indicate that various types of parameters such as foundation and material length scales have significant effects on the free vibration responses and dynamic results. Investigation on the influence of material length scales indicates that increase of both dimensionless material length scale parameters leads to significant changes of vibration and dynamic responses of microbeam.
 
Key Words
    sandwich microbeam; piezoelectric face-sheets; micro-length-scale parameters; strain gradient theory; Pasternak\'s foundation
 
Address
Mohammad Arefi and Elyas Mohammad-Rezaei Bidgoli: Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
Ashraf M. Zenkour: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt
 

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