FE analysis of geometrically nonlinear static problems with follower loads

  • Imre Kozák University of Miskolc
  • Frigges Nándori University of Miskolc
  • Tamás Szabó University of Miskolc

Abstract

We have considered a linearly elastic body loaded by tractions inward normal to the instantaneous surface. Due to the increment of the surface element vector there is a contribution to the tangent stiffness matrix referred to as load correction stiffness matrix. The goal of the numerical experiments is to determine the bifurcation point on the fundamental equilibrium path. Linear eigenvalue problems with follower loads are also analysed.

Keywords

follower loads, finite element method, limit of elastic stability, eigenvalue problem,

References

[l] J.H. Argyris, K. Straub, Sp. Symeonidis. Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation . Part II. Dynamic problems. Comput. Meths. Appl. Mech. Engng. , 8: 241- 258, 1981.
[2] J.H. Argyris, K. Straub, Sp. Symeonidis. Static and dynamic stability of nonlinear systems under nonconservative forces - natural approach. Comput. Meths. Appl. Mech. Engng. , 32: 59- 83, 1982.
[3] J.H. Argyris, Sp. Symeonidis. Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. Part I. Quasistatic problems. Comput. Meths . Appl. Mech. Engng., 26: 75- 124, 1981.
[4] J.H. Argyris, Sp. Symeonidis. A sequel to: Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. Part I. Quasistatic problems. Comput. Meths. Appl. Mech. Engng., 26: 377- 383, 1981.
[5] V.V. Bolotin. Noneonservative Problems of the Theory of Elastic Stability. Pergamon, New York, 1963.
Published
May 22, 2023
How to Cite
KOZÁK, Imre; NÁNDORI, Frigges; SZABÓ, Tamás. FE analysis of geometrically nonlinear static problems with follower loads. Computer Assisted Methods in Engineering and Science, [S.l.], v. 6, n. 3-4, p. 369-383, may 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1297>. Date accessed: 21 nov. 2024.
Section
Articles