New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy
Year: 2024
Type: article
Abstract: The time integration schemes, GA-23 and GA-234, recently proposed by the authors for first order problems, are extended to solve second-order problems in structural dynamics. The resulting methods maintain unconditional stability and user-controlled high-frequency damping. They offer improved accuracy and exhibit less numerical damping in the low-frequency regime, outperforming the well-known generalised-[[EQUATION]] method. When the high-frequency damping is maximised the new schemes can be cast in the format of backward difference formulae, offering more accurate alternatives to the standard second order formula. The effectiveness of the new time integration schemes is validated through a number of numerical examples, including a multi-degree-of-freedom system, a linear elastic cantilever beam, and a nonlinear spring pendulum.
Source: Computers & Structures
Authors: Eman Alhayki, Wulf G. Dettmer
Institution: Swansea University
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,290
OpenAlex ID: W4404560593