1. Reference problem

1.1. Geometry

We consider a floor column resulting from the sdnx100 test case, whose main characteristics are described below:

The floor

Laminate flooring configuration

1.2. Material properties

1.2.1. Elastic properties of the material

The mechanical characteristics of the soil model layers that were used are summarized in the table below:

Layer	Sub-layer	\(\mathrm{vs}(m/s)\)		\(E(\mathit{Pa})\)	\(\rho (\mathrm{kg}/{m}^{\mathrm{²}})\)	\(\nu\)	\(\xi (\text{\%})\)	\(h(m)\)	\(b(\text{\%})\)		\({N}_{1}\)
1	1	184	2.67 108	2.67 108	2650	0.49	2.5	7.6	5.0	0
1	2	206	3.35 108	3.35 108	2650	0.49	2.5	7.6	5.0	0
2	3	340	9.21 108	9.21 108	2710	0.47	2.5	33.0	5.0	0
2	4	417	1.39 109	1.39 109	2.5	34.0	5.0	5.0	0	0
2	5	496	1.96 109	1.96 109	2.5	34.0	5.0	5.0	0	0
3	6	620	3.02 109	3.02 109	2710	2710	0.45	2.5	5.50	5.0	0
3	7	870	5.95 109	5.95 109	2710	2710	0.45	2.5	5.50	5.0	0
4	8	2500	4.23 1010	4.23 1010	2710	0.25	1.0		2.0	2.0	0

The values of SPT (\({N}_{1}\)) are provided equal to zero in order to test the computer operation of the macrocontrol only for modeling E with the Byrne model.

1.2.2. Shear modulus degradation and damping increase curves

The three materials (alluvium and two types of marl) have curves of degradation of the elastic modulus G and of hysteretic damping given by the following curves:

1.3. Boundary conditions and mechanical loads

1.3.1. Boundary condition

The boundary conditions applied to the column during the dynamic calculation phase are as follows:

• Bottom of the column: Assignment of an absorbent border element.

If 1D calculation — 1 component:

• Right and left edges of the column: Periodicity condition. This means that the movements of the nodes on the left and right faces facing each other are made equal.

If 1D calculation — 3 components:

• Side edges: Penalty rate encircling the column, so as to ensure a unique response in horizontal directions (stratified half-space hypothesis)

1.3.2. Loading

Transient acceleration in the ground given by functions LBNS. If free-field → outcropping rock deconvolution calculation, a coefficient of \(1.5\) is applied. If flush rock → free field convolution calculation, a coefficient of \(0.3\) is applied.