NONLINEAR STABILITY ANALYSIS OF 3D BEAMS

Lazopoulos et al. [7] studied about the transverse shear strain effect. It is shown that shear strain is constant for a particular cross- section throughout the beam and it is not distorted after the deformation. Timoshenko beam element models are not good in capturing normal stress. For capturing shear deformation, classical beam theory elements are not correct. An Euler Bernoulli beam element gives excellent results for normal stress since they are constraining the predominant bending deformation. For thin beam purpose, classical beam theory is good and for thick beam usage Timoshenko beam theory is good. Structural analysis and harmonic analysis are used to predict the stability of the beam. Equivalent stress distribution and Shear, formation along the beam are the main output parameters for the structural analysis. In addition to above mentioned methods, buckling analysis can also be used to predict the stability of the beam. Lazopoulo [7] showed the major reason for considering the buckling analysis to find the stability of beam.