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Author:

Guo, Hongwei (Guo, Hongwei.) | Lin, Shan (Lin, Shan.) | Zheng, Hong (Zheng, Hong.)

Indexed by:

EI Scopus SCIE

Abstract:

We proposed a generalized moving least squares (GMLS) based numerical manifold method (NMM) and applied to investigate mechanical behaviors of thin plates with various shape and cutouts. The influence domains of nodes in generalized moving least squares (GMLS) interpolation are employed to construct the mathematical cover, which is specifically fitted for the fourth-order problems with rotational degrees of freedom. Moreover, the GMLS-based NMM can naturally treat plates with arbitrary complex geometry and openings without resorting to those complicated criteria and tailored operations while simplifying the physical cover generation process. In numerical study, a suitable mass lumping scheme is formulated and advised for transverse vibration analysis. Bending, vibration and buckling behaviors of thin plates with different shapes and cutouts are studied. Numerical results manifest that GMLS-based NMM can accurately model transverse mechanical behaviors.

Keyword:

Generalized moving least squares interpolation Free vibration Physical cover Numerical Manifold Method Buckling Bending Cutouts

Author Community:

  • [ 1 ] [Guo, Hongwei]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 2 ] [Lin, Shan]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 3 ] [Zheng, Hong]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 4 ] [Guo, Hongwei]Univ Chinese Acad Sci, Beijing 100049, Peoples R China

Reprint Author's Address:

  • [Lin, Shan]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China;;

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Source :

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

ISSN: 0955-7997

Year: 2023

Volume: 151

Page: 597-623

3 . 3 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:19

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 15

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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