Free Vibration Analysis of CNTRC Plates Based on First-Order Shear Deformation Theory

doi:10.3901/JME.2019.24.045

Abstract

Abstract: Based on the Reissner-Mindlin hypothesis, a free vibration analysis of CNTRC (carbon nanotube reinforced composite) plate is investigated with consideration of the nonhomogeneous of CNT. The effects of the distribution form, volume ratio of the CNT reinforcement, boundary conditions and geometric parameters of the plates on the frequency response of the composite structure are verified, respectively. The accuracy of the model is verified by the experiment of simply supported plate. The free vibration analysis of CNT-reinforced functionally graded plate is carried out using the model. The research shows that the effect of 1CNT volume fracture is nearly linear on the vibration of fundamental frequency parameters. Among different distribution forms:the nature frequency of X-shaped functionally graded plate is the largest, followed by V-shaped CNT plate and that of O-shaped distributed form is the lowest. Since the constrains are much stronger in CCCC boundary conditions than in SSSS conditions, CCCC CNTRC plates became more sensitive to width-to-thickness ratio, and the influence of boundary conditions becomes bigger as the width-to-thickness ratio increases. To sum up, the distribution form, volume ratio, width-to-thickness ratio and boundary condition of CNT have a significant effect on the frequency and vibration mode of plate structures.

Key words: Reissner-Mindlin hypothesis, CNT, free vibration analysis, modal analysis, functionally graded structures

CLC Number:

O343

XUE Ting, QIN Xiansheng, ZHANG Shunqi, WANG Zhanxi, BAI Jing. Free Vibration Analysis of CNTRC Plates Based on First-Order Shear Deformation Theory[J]. Journal of Mechanical Engineering, 2019, 55(24): 45-50.

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