Exact shape functions of imperfect beam element for stability analysis

@article{Adman2007ExactSF,
  title={Exact shape functions of imperfect beam element for stability analysis},
  author={R. Adman and H. Afra},
  journal={Adv. Eng. Softw.},
  year={2007},
  volume={38},
  pages={576-585}
}
  • R. Adman, H. Afra
  • Published 2007
  • Computer Science, Mathematics
  • Adv. Eng. Softw.
In this paper, a versatile and efficient solution for the displacement function of a geometrical imperfect beam element under high axial load is derived. The initial imperfection is included by a sine curve approximation. The aim of this work is to propose a natural extension of the element by stability functions. For this purpose, exact displacement shape functions are solved from the differential equilibrium equation, by using arbitrary boundary conditions. These shape functions offer the… Expand