Numerical dissipation in time-step integration algorithms for structura dynamic analysis

摘要

To damp out spurious high-frequency responses, time-step integration algorithms for structural dynamic analysis should have controllable numerical dissipation in the high-frequency regime. The algorithms should also be unconditionally stable so that the time-step size is governed by the accuracy requirement only. This paper reviews several recently developed frameworks that can be used to construct unconditionally stable dissipative time-step integration algorithms. The continuous displacement (single-field) formulations are considered here. The algorithmic parameters that can be used to control the numerical dissipation in time-step integration algorithms are also discussed.