Anti-Symmetric Modes of a Thin Square Cantilevered Plate

Determine the anti-symmetric modes of a square cantilevered plate. The plate is 10.0 m x 10.0 m and its thickness is 0.05 m. Only half of the plate is modeled due to symmetry. All dimensions are in m.

File Name

Open drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\NAFEMS_Freq_Test11.SLDPRT.

Study Type

Frequency

Mesh Type

Shell mesh. Shell thickness is 0.05 m. Use the standard mesh size.

Material Properties

  • Modulus of elasticity (E) = 2 x 1011 N/m2
  • Mass density (ρ) = 8000 Kg/m3
  • Poisson's ratio (ν) = 0.3

Restraints

  • Ux = Uy = Rz = 0 at all nodes
  • Uz = Ry = Rx = 0 along edge y = 0
  • Uz = 0 along y = 5

Results

Study: Antisymmetric_modes
Frequency Theory (Hz) SOLIDWORKS Simulation (Hz) Mode Shape (a)
1 1.029 1.024
2 3.753 3.727
3 7.730 7.720
4 8.561 8.542
5 NA 11.185
6 NA 15.502
(a) The mode shapes are superimposed on the undeformed shape of the plate.

Reference

NAFEMS, Publication R0015, The International Association for the Engineering Analysis Community, "Selected Benchmarks for Natural Frequency Analysis", Issue 2, Test 11(b), 1987.