2. Benchmark solution#

2.1. Calculation method used for the reference solution#

Code averages: Lice, ADL,, TITUS -T.

Validation guide for structural calculation packages- AFNOR - 1990 (for modal calculation). The values provided in the sheet are underestimated and were subsequently corrected in 1992. However, they were retained for calculations with a diagonal mass matrix.

2.2. Benchmark results#

Modal calculation:

9 first natural frequencies.

Spectral response:

displacement of nodes \(\mathrm{N3}\) \(\mathrm{N5}\) and \(\mathrm{N7}\), \(\mathrm{N9}\), \(\mathrm{N11}\). Support reaction at nodes \(\mathrm{N1}\), \(\mathrm{N15}\). Widespread efforts from nodes \(\mathrm{N3}\), \(\mathrm{N7}\), \(\mathrm{N11}\).

2.3. Uncertainty about the solution#

In the order of \(\text{1\%}\) on the first 5 modes.

Between 1 and \(\text{2,5\%}\) for modes 6 to 9.

2.4. Bibliographical references#

  1. Guide VPCS AFNOR Technical- 1990

    1. HOVGAARD « Stress in three dimensional pipe bens », Trans of ASME vol.57, FSP 75-12 P401-416.