2020
DOI: 10.1140/epjp/s13360-020-00385-w
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Size-dependent transverse and longitudinal vibrations of embedded carbon and silica carbide nanotubes by nonlocal finite element method

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Cited by 170 publications
(45 citation statements)
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“…So, to reduce the resistance value, the distance between the electrodes can be reduced by increasing the number of pairs of electrodes. Besides, Civalek et al [27] have studied the free vibration analyses of embedded carbon and silica carbide nanotubes lying on an elastic matrix based on Eringen's nonlocal elasticity theory. Also, they found that in the continuous systems especially like beam and rod, the decrease in vibration frequency appears with the reducing of the rigidity of structure [28].…”
Section: Structural Design Of the Sensormentioning
confidence: 99%
“…So, to reduce the resistance value, the distance between the electrodes can be reduced by increasing the number of pairs of electrodes. Besides, Civalek et al [27] have studied the free vibration analyses of embedded carbon and silica carbide nanotubes lying on an elastic matrix based on Eringen's nonlocal elasticity theory. Also, they found that in the continuous systems especially like beam and rod, the decrease in vibration frequency appears with the reducing of the rigidity of structure [28].…”
Section: Structural Design Of the Sensormentioning
confidence: 99%
“…Three analytical studies can also be found [18–20]. Some researchers have investigated micro‐ and nanobeams as well [21–26]. There are no reviews available studying the effect of imperfections, the damage location and the severity of the damage of the functionally graded material coating.…”
Section: Introductionmentioning
confidence: 99%
“…Civalek presented the finite element formulations of plates and shells [37]. On the other hand, it can be stated that studies on the use of finite element formulation in mechanical analysis of nanostructures with nonlocal elasticity have taken place in the literature [27,28,[38][39][40][41][42][43][44][45][46][47][48][49][50][51][52]. Additionally, the free vibration behavior of a functionally graded beam is researched for Euler-Bernoulli, Timoshenko, Shear and Rayleigh beam theories [53].…”
Section: Introductionmentioning
confidence: 99%