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Coupled Systems Mechanics
  Volume 6, Number 2, June 2017 , pages 207-227
DOI: https://doi.org/10.12989/csm.2017.6.2.207
 

Thermo-mechanical analysis of carbon nanotube-reinforced composite sandwich beams
Farzad Ebrahimi and Navid Farazamandnia

 
Abstract
    In this paper Timoshenko beam theory is employed to investigate the vibration characteristics of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) Beams with a stiff core in thermal environment. The material characteristic of carbon nanotubes (CNT) are supposed to change in the thickness direction in a functionally graded form. They can also be calculated through a micromechanical model where the CNT efficiency parameter is determined by matching the elastic modulus of CNTRCs calculated from the rule of mixture with those gained from the molecular dynamics simulations. The differential transform method (DTM) which is established upon the Taylor series expansion is one of the effective mathematical techniques employed to the differential governing equations of sandwich beams. Effects of carbon nanotube volume fraction, slenderness ratio, core-to-face sheet thickness ratio, different thermal environment and various boundary conditions on the free vibration characteristics of FG-CNTRC sandwich beams are studied. It is observed that vibration response of FG-CNTRC sandwich beams is prominently influenced by these parameters.
 
Key Words
    functionally graded carbon nanotube-reinforced composite; thermo-mechanical vibration; Hamilton
 
Address
Farzad Ebrahimi and Navid Farazamandnia: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, P.O.B. 16818-34149, Iran
 

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