Classification and analysis of mass scaling techniques
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The simulation of fast dynamic processes in finite element structural models extensively relies on explicit time integration schemes, whose critical time step is constrained by the largest mesh-dependent frequencies of the system. Mass scaling alters the mass matrix in order to drive down the largest frequencies while somewhat preserving the smallest physically relevant ones. While the field has been flourishing over the years, it still lacks a strong theoretical basis and mostly relies on numerical experiments as the only means of assessment. In this talk, we regroup apparently different methods under the same umbrella and rigorously derive bounds for the increase of the critical time step, proving some well-known numerical observations. Finally, we suggest future research directions worthwhile exploring.
