2. Benchmark solution#
2.1. Reference quantity and result#
We test the value of \(\mathrm{RMS}\) in non-regression, on the total time of the normal force at the free end of the beam.
Two types of analyses were carried out:
The first analysis to consist in calculating the transient dynamic response on a modal basis consisting of the first 30 natural modes.
The second analysis consists in calculating the transient dynamic response on a modal basis consisting of 30 first natural modes to which static modes are added.
The calculation procedure is as follows:
we calculate the first 30 natural frequencies (up to \(\mathrm{4800Hz}\)) and the associated natural modes,
the stiffness, mass and damping matrices are projected onto a modal basis,
efforts are projected on a modal basis.
the dynamic transient response is calculated on a modal basis
we calculate RMS out of the total time of the normal force at node \(\mathrm{N2}\)
We do not have a RMS reference value for this problem so we present the two results independently.
2.2. Reference quantity#
RMS_T_TOTAL: value RMS based on the total normal force time (FORCE_NORMALE) at node \(\mathrm{N2}\).