An Unconditionally Stable Integration Method for Structural Nonlinear Dynamic Problems

This paper presents an unconditionally stable integration method, which introduces a linearly implicit algorithm featuring explicit displacement expression. The technique that is being considered integrates one Newton iteration into the mean acceleration method. stability of proposed in solving equations motion containing nonlinear restoring force and damping analyzed using root locus objective this investigation was to assess accuracy consistency approach contrast Chang method CR achieved by analyzing dynamic response three distinct structures: three-layer shear structure model outfitted with viscous dampers, metal eight-story planar frame structure. Empirical evidence indicates question exhibits notable degree precision robustness when applied problem-solving.