LINEAR FREE VIBRATIONS OF FG-CNTRC H-H BEAMS USING SLENDER BEAM THEORY

摘要

This thesis investigates the linear free vibrations of functionally graded Carbon Nano-tube reinforced Composite (FG-CNTRC) beams using Slender (Euler-Bernoullis) beam theory. The material properties of FG-CNTRCs are assumed to be graded in the thickness direction and estimated through the rule of mixture. The Ritz method is employed to derive the governing Eigen value equation which is then solved by a direct iterative method to obtain the linear frequencies of FG-CNTRC beams with H-H Supports. A detailed parametric study is conducted to study the influences of Nanotube volume fraction, vibration amplitude, and slenderness ratio on the linear free vibration characteristics of FG-CNTRC beams.