2023
DOI: 10.3390/math11132987
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An Unconditionally Stable Integration Method for Structural Nonlinear Dynamic Problems

Abstract: This paper presents an unconditionally stable integration method, which introduces a linearly implicit algorithm featuring an explicit displacement expression. The technique that is being considered integrates one Newton iteration into the mean acceleration method. The stability of the proposed algorithm in solving equations of motion containing nonlinear restoring force and nonlinear damping force is analyzed using the root locus method. The objective of this investigation was to assess the accuracy and consi… Show more

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