3. Modeling A#

3.1. Characteristics of modeling#

The oscillator is modelled using 2D_ DIS_TR elements.

Number and type of meshes: 1 element of type SEG2 and one element of type POI1.

Natural frequency:

Size tested	Reference	Tolerance
\({f}_{0}\mathrm{=}\frac{{\omega }_{0}}{2\pi }\)	\(0.1\mathit{Hz}\)	1.E-4


Sinusoidal response at time \({t}_{1}\mathrm{=}1s\):

Size tested	Reference	Tolerance
\(x({t}_{1}\mathrm{=}1s)\)	\(1.55346{10}^{\mathrm{-}3}m\)	5.E-4


Harmonic response at frequency \({\Omega }_{1}\mathrm{=}1.5{\omega }_{0}\):

Size tested	Reference	Tolerance
\(\stackrel{ˆ}{x}(\Omega )\mathrm{=}1.5{\omega }_{0}\)	\(\mathrm{-}2.022511{10}^{\mathrm{-}2}\) \(–5.15690{10}^{\mathrm{-}4}im\)	5.E-3

All three tests are combined with non-regression tests with a tolerance of 1.E-6.