Summary of results
======================

**% differences/reference**


.. csv-table::

    "**Clean mode order**", "**Reference NAFEMS**", "**Aster**"
    **Test 0**", "**Aster**
    **Test1**", "**Aster**
    **Test2**", "**% diff. Test0**", "**% diff. Test1**", "**% diff. Test2**"
    "1", "0.421", "0.4178", "0.4178", "0.4165", "0.4163", "—0.76", "—1.07", "—1.12"
    "2", "1.029", "1.0255", "1.0255", "1.0301", "1.030", "1.0340", "0.34", "0.11", "0.49"
    "3", "2.582", "2.5669", "2.5793", "2.5793", "2.5644", "—0.58", "—0.10", "—0.68"
    "4", "3.306", "3.2733", "3.2733", "3.2572", "3.2539", "—1.47", "—1.47", "—1.58"
    "5", "3.753", "3.7347", "3.7347", "3.7397", "3.7433", "—0.49", "—0.35", "—0.26"
    "6", "6.555", "6.5236", "6.5236", "6.4544", "6.4544", "—0.98", "—1.54", "—0.99"


**% differences/reference**


.. csv-table::

    "**Clean mode order**", "**Reference NAFEMS**", "**Aster**"
    **Test 0**", "**Aster**
    **Test1**", "**Aster**
    **Test2**", "**% diff. Test0**", "**% diff. Test1**", "**% diff. Test2**"
    "7", "", "7.3756", "7.2821", "7.2821", "7.2119", "", "—1.27", "—2.22"
    "8", "", "7.7332", "7.6852", "7.6852", "7.6026", "", "—0.62", "—1.69"
    "9", "", "8.5567", "8.3764", "8.3764", "8.3232", "", "—2.11", "—2.73"
    "10", "", "11.1199", "10.7209", "10.7209", "10.7735", "", "—3.59", "—3.12"
    "11", "", "11.6474", "11.2904", "11.2904", "11.2607", "", "—3.07", "—3.32"
    "12", "", "14.3551", "13.7573", "13.7573", "13.3008", "", "—4.16", "—7.34"



* For tests 1 and 2, the quadrangles on sheet NAFEMS were cut into triangles.


*Tests 3 and 4 can be done by*Aster* (no quadratic shell element).


* Up to the 9th mode, the frequency error is :math:`\text{≤ 2.5\%}`.


* The mesh distortion effect only really appears on modes 7 and 12.