doi:10.16186/j.cnki.1673-9787.2020040104

Received:2021/01/21

Revised:2020/10/15

Published:2022/01/10

Study on free vibration of axially moving carbon nanotube-reinforced composite plate

HUANG Xiaolin, ZHONG Deyue, LIU Siqi, WEI Gengzhong

School of Architecture and Transportation Engineering, Guilin University of Electronic Technology, Guilin 541004 , Guangxi, China

Abstract: In this study,the vibration characteristics of axially moving carbon nanotube reinforced composite (CNTRC) plates were investigated,and motion equation of the CNTRC were derived based on the composite thin plate theory and Hamilton’s principle.Then,the Galerkin method was used to solve the series solution of the natural vibration frequency under differernt boundary conditions.In addition,the effects of many factors on free vibration,such as the axial velocity,in-plane force,width-to-thickness ratio,boundary conditions,volume fraction,and distribution methods of carbon nanotubes were analyzed by numerical examples.The results showed that the natural frequency of the plate was significantly increased by carbon nanotubes.However,the natural frequency of the plate was decreased by the axial motion reduces.The natural vibration frequency of the plate increased with the increase of in-plane tension,but decreased with the increase of in-plane pressure.Moreover,the boundary conditions and the distribution of carbon nanotubes also had a certain effect on the free vibrations frequency.

Key words:axially moving plate;carbon nanotubes;free vibration;Hamilton's  principle;Galerkin method

轴向运动碳纳米管增强复合材料板的自由振动研究_黄小林.pdf