Vibrations of a Simply Supported Thick Annular Plate

Determine the modes of vibration of a ring-shaped thick plate. The plate is simply supported around its circumference. The plate's inner radius is 1.8 m, its outer radius is 6.0 m, and its thickness is 0.6 m. All dimensions are in m.

File Name

Open drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\NAFEMS_Freq_Test14.SLDPRT.

Study Type

Frequency

Mesh Type

Shell mesh. Shell thickness is 0.6 m. Use the standard mesh size. Thick shell formulation.

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 = Rx = 0 along circumference

Results

Study: Simply_Supported_Thick_Plate
Frequency Theory (Hz) SOLIDWORKS Simulation (Hz) Mode Shape
1 18.518 18.644
2 and 3 48.92 49.17
4 and 5 92.59 93.42
6 140.15 142.98
7 and 8 NA 147.68
9 166.36 169.76

Reference

NAFEMS, Publication R0015, The International Association for the Engineering Analysis Community, "Selected Benchmarks for Natural Frequency Analysis," Issue 2, Test 23, 1987.