Abstract
Methodological approaches based on the nonlocal beam theory, differential quadrature and internal random coefficients methods are elaborated for parameters uncertainty effects on the dynamic behavior of viscoelastic Carbon NanoTubes (CNT) conveying viscous fluid. The general polynomial chaos and the superposition principle are used and several random parameters that may follow various distribution laws are considered. A selecting procedure of the most influencing random parameters on the dynamic behavior of CNT is given. The space and multimodal time domains are formulated and frequency and time responses are investigated. Effects of various random parameters on free and forced random vibrations are investigated.