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author:

Zhu, Bo (Zhu, Bo.) [1] | Chen, Xiao-Chao (Chen, Xiao-Chao.) [2] | Guo, Yang (Guo, Yang.) [3] | Li, Ying-Hui (Li, Ying-Hui.) [4]

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EI

Abstract:

In this study, the static and dynamic responses of functionally graded material (FGM) pipes with porosities and geometric imperfections are investigated. The material properties of the porous FGM pipe are assumed to vary continuously and smoothly along the radial direction based on the modified power-law distribution. The nonlinear equations of motion are derived on the basis of the Euler-Bernoulli beam hypothesis incorporating the effects of von Kármán nonlinearity and initial imperfection. Two general cases of pipes with movable and immovable ends are considered. Closed-form solutions for nonlinear critical buckling velocity and nonlinear stability behavior of system under different boundary conditions are proposed. Subsequently, the free vibration problem around the buckled configuration is solved as a eigenvalue problem, and the natural frequencies are calculated using a new exact solution procedure that considers the gyroscopic effect. The effects of important parameters including the initial imperfection, the power-law index, the porosity volume fraction, and geometric properties on buckling and post-buckling behavior of system are explored in numerical results. © 2020

Keyword:

Beams and girders Buckling Eigenvalues and eigenfunctions Equations of motion Functionally graded materials Geometry Nonlinear equations Porosity Vibration analysis

Community:

  • [ 1 ] [Zhu, Bo]School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu; 610031, China
  • [ 2 ] [Chen, Xiao-Chao]School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou; 350116, China
  • [ 3 ] [Guo, Yang]School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu; 610031, China
  • [ 4 ] [Li, Ying-Hui]School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu; 610031, China
  • [ 5 ] [Li, Ying-Hui]State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu; 610031, China

Reprint 's Address:

  • [li, ying-hui]school of mechanics and engineering, southwest jiaotong university, chengdu; 610031, china;;[li, ying-hui]state key laboratory of traction power, southwest jiaotong university, chengdu; 610031, china

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Source :

International Journal of Mechanical Sciences

ISSN: 0020-7403

Year: 2021

Volume: 189

6 . 7 7 2

JCR@2021

7 . 1 0 0

JCR@2023

ESI HC Threshold:105

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 59

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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