2.3: Free Thin Square Plate

Geometry and Boundary Conditions

10×10×0.05 plate (free ends)

../../../_images/benchmark2-3-setup.png

Material

Isotropic material with:

  • E = 2.0e+11 Pa

  • ν = 0.3

  • Density = 8000 kg/m³

Results

Reference results from [5]

Frequency (Hz) Comparison (Quadratic Elements)

Mode

Reference

Intact Direct Solver [%Error]

Time (s) to solve with <1% error

1

1.622

1.619 [0.21%]

2

2.360

2.359 [0.03%]

3

2.922

2.922 [0.01%]

4,5

4.233

4.183 [0.18%]

6

7.416

7.352 [0.05%]

186