Torsional Vibration Analysis of Carbon Nanotubes Using Maxwell and Kelvin-Voigt Type Viscoelastic Material Models
Mustafa Arda
Abstract
Torsional dynamic analysis of viscoelastic Carbon Nanotubes (CNT) has been carried out in the present work. Maxwell and Kelvin-Voigt type viscoelasticity are considered in the modeling of viscoelastic material. Nonlocal Elasticity Theory is used in the formulation of governing equation of motion and boundary conditions. Viscoelasticity and nonlocal effects of structure on the free torsional vibration of CNTs have been investigated. Clamped-clamped and clamped-free boundary conditions are considered. Present study results could be useful in design of nano-medicine delivery applications.
Topics & Concepts
ViscoelasticityCarbon nanotubeVibrationBoundary value problemElasticity (physics)Kelvin–Voigt materialMaterials scienceClassical mechanicsMechanicsWork (physics)PhysicsMathematical analysisComposite materialMathematicsThermodynamicsAcousticsNonlocal and gradient elasticity in micro/nano structuresMechanical and Optical ResonatorsComposite Structure Analysis and Optimization