CONVERGENCE AND STABILITY OF SEVERAL STEP-BY-STEP INTEGRATION METHODS IN STRUCTURAL DYNAMIC ANALYSIS IN CASE OF NEGATIVE-STIFFNESS

The convergence and the stability of central difference method, Z-transformation method, Wilson θ method and two-step adams-bashforth method have been studied in this paper for the model with the negative-stiffness. In the case of the negative-stiffness, these methods are convergent. Under the negative-stiffness, central difference method, Z-transformation method and two-step adams-bashforth method are unconditionally stable, but Wilson θ Method is conditionally stable.