A NOVEL EXPLICIT TIME INTEGRATION METHOD FOR STRUCTURAL DYNAMICS

Abstract eng:
A new explicit time integration scheme is presented for structural dynamics. The method is designed to have small solution errors in the frequency range that can spatially be represented and to cut out high spurious frequencies. The proposed method is formulated based on the displacement-velocity relations and considers a time step to consist of two sub-steps as inspired by the method presented in Ref. [1]. The proposed explicit method is conditionally stable and exhibits high stability limits; its maximum critical frequency limit is 6, which is three times that of the Central Difference Method. The method is second-order accurate for systems with and without damping, even when used with a non-diagonal damping matrix. The stability and accuracy characteristics are analyzed, and solutions to numerical problems are given that illustrate the performance of the scheme.

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