A heuristic viscosity-type dissipation for high frequency oscillation damping in time integration algorithms

Matija Gams in Igor Planinc in Miran Saje (2007) A heuristic viscosity-type dissipation for high frequency oscillation damping in time integration algorithms. Computational Mechanics, 41 (1). str. 17-29. ISSN 0178-7675

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A heuristic viscosity-type dissipation of strains is applied for controlling high frequency oscillation damping in a one-step time integration. The basic idea of the approach is to apply damping in locations, where it is needed, at times when it is needed. To this end a computationally efficient algorithm for identifying the need for damping is developed. The identification algorithm keeps track of the number of recent changes of signs of strain increments, which helps in decision whether damping should be engaged or not. A special scaling function is introduced to smoothen the transition between the damped and undamped phases. The approach is verified in the analysis of the geometrically exact plane elastic beam.

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