Abstract
AbstractA new family of explicit single‐step time integration methods with controllable high‐frequency dissipation is presented for linear and non‐linear structural dynamic analyses. The proposed methods are second‐order accurate and completely explicit with a diagonal mass matrix, even when the damping matrix is not diagonal in the linear structural dynamics or the internal force vector is a function of velocities in the non‐linear structural dynamics. Stability and accuracy of the new explicit methods are analysed for the linear undamped/damped cases. Furthermore, the new methods are compared with other explicit methods.
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