Abstract
The paper proposes a ρ method of unconditionally stable direct integration with the fourth-order and fifth-order accuracy. The ρ method shows a good algorithmic damping and period extension property, and we don't find any “overshooting” phenomenon. It needs less calculation and storage space than other methods of high accuracy. It doesn't require that the damping matrix satisfy the condition of orthogonality of modes in order to prove its unconditional stability.
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The paper is finished under the guidance of prof. Mai Shuliang.
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Minsheng, X. A highly accurate ρ method for structural dynamic analysis. Acta Mech Sinica 4, 265–274 (1988). https://doi.org/10.1007/BF02486658
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DOI: https://doi.org/10.1007/BF02486658