Comparison between recent implicit time integration methods with frequency dissipation for nonlinear structural applications

The present paper aims to test recent (Truly self-starting two sub-step method and three-parameter single-step implicit method) classical (Generalized-α, HHT-α, WBZ-α methods) time integration methods using the geometrically nonlinear Positional Finite Element Method (PFEM). numerical formulation is based on total Lagrangian approach uses Hessian matrix obtain response. mixed hardening inelastic model applied PFEM also presented. Two examples validate algorithms model. In first example, compared with bilinear stress-strain elastic-perfectly plastic hinge model, aspects such as amplitude decay period elongation are discussed. second implemented verified in a severe considering influence of dissipation, interval, number elements Results show relevance damping for stabilization good performance Generalized-α algorithm.