Simulation of the Geometric Instability of Wood Beams by Using the Newton Raphson Method

Bikanda L.E., Oum Lissouck R., Mvogo J. K, Angouah Massaga J.M., Ayina Ohandja L. M.

Abstract: A theoretical model of nonlinear computation of wood beams section has been developed. Here, we had the opportunity to study the mechanical behavior of a console beam. The digital model uses 3D Vlasov beams. The equilibrium equations are obtained using the virtual works principles. In the literature, analytical solutions called critical loads of Euler exist to estimate the critical loads value. These analytical solutions have a restricted field of application. The beam finite element model was developed and allowed us to better appreciate the nonlinear behavior of the beam in the presence of instabilities.

Keywords: geometric instability, critical spill load, ruin, 3D beam, Vlasov theory, incremental method