Abstract
In this work the vibration response of fluid conveying single-walled carbon nanotube embedded in an elastic medium is studied. Based on the theories of elasticity mechanics and nonlocal elasticity, an elastic Euler–Bernoulli–Euler beam model is developed .The critical fluid velocity is found out with different boundary conditions, i.e. fixed-fixed and simply supported at ends. Effects of different temperature change, nonlocal parameters on natural frequency and critical fluid velocity are discussed. The differential transform method is implemented for the nonlocal single-walled carbon nanotube analysis and this yields results with high degree of accuracy. MATLAB was used to solve the governing differential equations.
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