FREE VIBRATION ANALYSIS OF CARBON-NANOTUBE-REINFORCED BEAMS RESTING ON A VISCOELASTIC PASTERNAK FOUNDATION BY THE NONLOCAL ESHELBY-MORI-TANAKA METHOD

被引：8
|
作者：
Wu, D. [1 ,2 ]
Lei, Y. [1 ,2 ]
Wang, Z. [1 ,2 ]
Yu, B. [1 ,2 ]
Zhang, D. [1 ,2 ]
机构：
[1] Natl Univ Def Technol, Coll Aerosp Sci & Engn, Changsha 410073, Peoples R China
[2] Hunan Key Lab Intelligent Planning & Simulat Aero, Changsha 410073, Peoples R China
来源：
MECHANICS OF COMPOSITE MATERIALS | 2023年 / 59卷 / 03期
基金：
中国国家自然科学基金;
关键词：
nonlocal theory; Eshelby-Mori-Tanaka method; free vibration; CNT-reinforced composite; Timoshenko beam; LENGTH SCALE COEFFICIENT; STRAIN GRADIENT THEORY; TRANSVERSE VIBRATION; STRESS; SIZE; EQUATIONS; FREQUENCY; ERINGENS;
D O I：
10.1007/s11029-023-10110-0
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The scale effect of carbon nanotubes (CNTs) in the macro CNT-reinforced composites (CNTRCs) is analyzed, and the free vibration characteristics of a CNT-reinforced composite beam resting on a viscoelastic foundation were studied. By combining the nonlocal theory with the Eshelby-Mori-Tanaka (EMT) method, a nonlocal EMT constitutive equation considering the scale effect of CNTs in the macro CNTRCs is proposed. Based on the constitutive equation and the Timoshenko beam theory, the governing equations and corresponding boundary conditions of the CNT-reinforced composite beam resting on a viscoelastic Pasternak foundation are obtained by using the Hamilton principle. Then, a solution of free vibrations of the composite beam under simply supported boundary conditions is found. A comparative analysis of the results obtained in this study and in the previous literature verified the reliability of the model built and the solution method used.
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页码：479 / 494
页数：16
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