Open AccessAnalysis of Geometrically Nonlinear Euler-Bernoulli Beam using EFGM
Author(s) -
D. Paavani,
M Aswathy,
C. O. Arun,
I. R. Praveen Krishna
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/936/1/012050
Subject(s) - finite element method , bernoulli's principle , euler's formula , nonlinear system , galerkin method , mathematics , beam (structure) , backward euler method , boundary value problem , boundary (topology) , mathematical analysis , physics , euler equations , structural engineering , engineering , optics , quantum mechanics , thermodynamics
The current paper presents a meshless formulation for the analysis of geometrically nonlinear one-dimensional Euler-Bernoulli beams. Element-free Galerkin method (EFGM) is used as the meshless numerical tool and Newton-Raphson method as the iterative scheme. Numerical examples of beams with four different boundary conditions are solved, and the results are compared with that of the finite element method (FEM). EFGM results are found in good agreement with that of FEM. Also, it is found that EFGM eliminates the effect of membrane locking in thin beams.