^ Meshfree Method for Geometrical Nonlinear Analysis of Curved and Twisted Beams Using a Three-Dimensional Finite Deformation Theory | Structurae
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Meshfree Method for Geometrical Nonlinear Analysis of Curved and Twisted Beams Using a Three-Dimensional Finite Deformation Theory

Author(s):

Medium: journal article
Language(s): English
Published in: International Journal of Structural Stability and Dynamics, , n. 10, v. 19
Page(s): 1950116
DOI: 10.1142/s0219455419501165
Abstract:

This paper presents a three-dimensional finite deformation theory for the geometric nonlinear analysis of both the curved and twisted beams using the meshfree method based on the Timoshenko beam hypothesis. The theory presented is simple, but it is capable of solving the stability, postbuckling, snap-through, and large deformation problems effectively. Clear physical meanings will be revealed in derivation of the three-dimensional finite deformation theory. A meshfree method based on the differential reproducing kernel (DRK) approximation collocation method combined with the Newton–Raphson method is employed to solve the strong forms of the geometrically nonlinear problems. Numerical examples are given to illustrate the validity of the method presented.

Structurae cannot make the full text of this publication available at this time. The full text can be accessed through the publisher via the DOI: 10.1142/s0219455419501165.
  • About this
    data sheet
  • Reference-ID
    10344587
  • Published on:
    14/08/2019
  • Last updated on:
    06/10/2019