Nonlocal nonlinear bending and free vibration analysis of a rotating laminated nano cantilever beam

被引：45
|
作者：
Preethi, K. [1 ]
Raghu, P. [1 ]
Rajagopal, A. [1 ]
Reddy, J. N. [2 ]
机构：
[1] Indian Inst Technol Hyderabad, Dept Civil Engn, Hyderabad 502285, Telangana, India
[2] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2018年 / 25卷 / 05期
关键词：
Timoshenko beam; nonlocal parameter; surface stress; geometric nonlinearity; finite element analysis; numerical results; COMPUTATIONAL HOMOGENIZATION; GRADIENT ELASTICITY; BALANCE LAWS; CONTINUA; MODELS;
D O I：
10.1080/15376494.2016.1278062
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article, we present the nonlocal, nonlinear finite element formulations for the case of nonuniform rotating laminated nano cantilever beams using the Timoshenko beam theory. The surface stress effects are also taken into consideration. Nonlocal stress resultants are obtained by employing Eringen's nonlocal differential model. Geometric nonlinearity is taken into account by using the Green Lagrange strain tensor. Numerical solutions of nonlinear bending and free vibration are presented. Parametric studies have been carried out to understand the effect of nonlocal parameter and surface stresses on bending and vibration behavior of cantilever beams. Also, the effects of angular velocity and hub radius on the vibration behavior of the cantilever beam are studied.
引用
收藏
页码：439 / 450
页数：12
相关论文
共 50 条
  • [1] A NONLINEAR PROBLEM IN THE BENDING VIBRATION OF A ROTATING BEAM
    LO, H
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1952, 19 (04): : 461 - 464
  • [2] Flapwise and chordwise free vibration analysis of a rotating laminated composite beam
    Jafari-Talookolaei, Ramazan-Ali
    Attar, Mostafa
    Valvo, Paolo S.
    Lotfinejad-Jalali, Farzaneh
    Shirsavar, Seyedeh Farzaneh Ghasemi
    Saadatmorad, Morteza
    [J]. COMPOSITE STRUCTURES, 2022, 292
  • [3] Finite element free vibration analysis of rotating laminated composite pretwisted cantilever plates
    Karmakar, A
    Sinha, PK
    [J]. JOURNAL OF REINFORCED PLASTICS AND COMPOSITES, 1997, 16 (16) : 1461 - 1491
  • [4] Free Vibration Analysis of a Rotating Cantilever Beam by Using Differential Transformation Method
    Sin, Young-Jae
    Jy, Young-Chel
    Yun, Jong-Hak
    Yoo, Yeong-Chan
    [J]. TRANSACTIONS OF THE KOREAN SOCIETY OF MECHANICAL ENGINEERS A, 2007, 31 (03) : 331 - 337
  • [5] Free vibration analysis of rotating cantilever plates
    Yoo, HH
    Kim, SK
    [J]. AIAA JOURNAL, 2002, 40 (11) : 2188 - 2196
  • [6] Nonlinear vibration of a rotating cantilever beam in a surrounding magnetic field
    Xu, Xueping
    Han, Qinkai
    Chu, Fulei
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2017, 95 : 59 - 72
  • [7] FREE VIBRATION CHARACTERISTIC OF A ROTATING CANTILEVER BEAM WITH TIP MASS
    Xie, Kai
    Abbas, Laith K.
    Chen, Dongyang
    Rui, Xiaoting
    [J]. PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2018, VOL 6, 2018,
  • [8] Flapwise bending vibration analysis of rotating composite cantilever beams
    Lee, SH
    Shin, SH
    Yoo, HH
    [J]. KSME INTERNATIONAL JOURNAL, 2004, 18 (02): : 240 - 245
  • [9] Flapwise bending vibration analysis of rotating composite cantilever beams
    Seung Hyun Lee
    Sang Ha Shin
    Hong Hee Yoo
    [J]. KSME International Journal, 2004, 18 : 240 - 245
  • [10] Nonlinear forced vibration analysis of a rotating three-dimensional tapered cantilever beam
    Zhou, Yanxun
    Zhang, Yimin
    Yao, Guo
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2021, 27 (15-16) : 1879 - 1892
12345