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A new family of explicit time integration methods for linear and nonlinear structural dynamics. (English) Zbl 0814.73074

Summary: A 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.

MSC:

74S20 Finite difference methods applied to problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
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