3. Modeling A

3.1. Characteristics of modeling

The elements are modeled by discrete elements with 6 degrees of freedom DIS_TR.

The node \(\mathrm{NO1}\) is subject to an imposed acceleration \(\gamma (t)\). The relative displacement of node \(\mathrm{NO2}\) with respect to the displacement of node \(\mathrm{NO1}\) is calculated and compared to the displacement calculated analytically.

The time integration is carried out with the Euler algorithm (time step: \(5.{10}^{-4}s\)).

3.2. Characteristics of the mesh

The mesh consists of 2 nodes and a discrete element (DIS_TR).

3.3. Tested sizes and results

Relative displacement of node NO1 (in meters).

Time (s)	Analytical calculation	Code_Aster	Error (%)
0.010	—6,511E—05	—6,495E—05	0
0.015	—2,185E—04	—2,183E—04	0
0.020	—5,139E—04	—5,136E—04	—0.058
0.024	—8,809E—04	—8,806E—04	—0.039
0.026	—1.115E—03	—1.115E—03	—0.041	—0.041
0.030	—1.679E—03	—1.679E—03	—0.014
0.035	—2.523E—03	—2.523E—03	—0.004
0.040	—3,457E—03	—3,457E—03	0
0.045	—4.412E—03	—4.412E—03	0.004
0.049	—5,143E—03	—5,143E—03	0.005
0.051	—5,485E—03	—5,485E—03	0.005
0.055	—6,109E—03	—6,109E—03	0.005
0.060	—6,765E—03	—6,765E—03	0.005
0.065	—7,269E—03	—7,269E—03	0.005
0.070	—7,610E—03	—7,610E—03	0.005
0.075	—7,779E—03	—7,780E—03	0.005
0.080	—7.774E—03	—7.775E—03	0.004
0.085	—7,595E—03	—7,595E—03	0.004