Abstract：A model suitable for simulating nonlinear conservative structural system being taken as an example, the pseudo-static stiffness criterion and the energy discriminant criterion for dynamic iAbnstability are analyzed and compared. The pseudo-static stiffness criterion may misjudge the structural dynamic instability according to the non-positive definiteness of the tangent stiffness. The energy discriminant criterion is applicable to structures with unstable postbuckling equilibrium paths. The total potential energy at the saddle point on the unstable postbuckling equilibrium path is taken as the critical energy, and dynamic instability is discriminated if the total energy exceeds the critical energy. Extremum dynamic displacement vs. load curve is taken as a dynamic equilibrium path. It is observed that small load increment near the critical load leads to significant increase of the maximum dynamic displacement and finally snaps-through at the critical point.
邓长根;巩俊松. 动力失稳的拟静力刚度准则与能量判别准则[J]. , 2010, 29(6): 164-169.
Deng Changgen;Gong Junsong. THE PSEUDO-STATIC STIFFNESS CRITERION AND THE ENERGY DISCRIMINANT CRITERION FOR DYNAMIC INSTABILITY. , 2010, 29(6): 164-169.
2010, Vol. 29 
