6. Summary of results

Both in the non-amortized case and in the amortized case, the results obtained using the complete model and by substructuring do not present significant differences. The operators for linear transient calculation by substructuration are therefore validated.

In the amortized case, the agreement between the numerical and analytical solutions would have been better by taking more elements (50 instead of 10 for example).

Finally, note that the results obtained by*Code_Aster* have been compared to the results obtained by SAMCEF. They are listed in the table below. It can be seen that in the non-amortized case, the two software programs provide similar results, just as far removed from the analytical solution.

Identification	Unamortized case		Damped case
	Aster_code	SAMCEF	Aster_code	SAMCEF
\(\mathrm{N12}\), displacement \((m)\)	—6.282E—7	—6.290E—7	—9.549E—7	—9.557E—7
\(\mathrm{N12}\), speed \((m/s)\)	2.096E—3	2.080E—3	1.222E—3	1.222E—3
\(\mathrm{N12}\), acceleration \((m/{s}^{2})\)	1.114E+1	1.075E+1	—1.917E+0	—1.910E+0