Can anyone point out some important conceptual differences between a non-linear analysis incorporating geometric-non linearity (be it using Total Lagrangian/Updated Lagrangian/ co-rotational formulation) and a stability (buckling) analysis.
Sorry for asking too fundmantal question
Re:Stability/Buckling analysis vs Geometric non-linearity
You have a geometry non-linearity when you have a problem where the displacements are finite, for example, when you analyze the deformation of a fishing rod. On the other hand, a linearized buckling analysis, is a type of problem where you are solving an eigenvalue problem. You can not include any nonlinearity. But you could use a non-linear analysis to traverse the postcolapse region. In general it is a more accurate analysis.
bye,
Mario J. Juha
www.eng.usf.edu/~mjuha
In reply to Re:Stability/Buckling analysis vs Geometric non-linearity by Mario Juha
"linearized buckling analysis" is a nonlinear problem
"linearized buckling analysis" has already taken the nonlinearity into account since in
"linearized buckling analysis" , the equilibrium equation is established on the
DEFORMED configuration. But it is assumed that the internal force after buckling is
the same as that before buckling. Although "linearized buckling analysis" can not
give the load-displacement relationship, it is still a nonlinear problem since from
mathematical point of view "linearized buckling analysis" corresponds to finding the
roots of a higher order polynomial, which is obviously a NONLINEAR problem.