Modes of Vibration of a Cantilevered Solid Beam

Determine the modes of vibration of a cantilevered beam modeled as a solid. The beam has a length of 10 m and a square cross-section of 2.0 m x 2.0 m. All dimensions are in m.

File Name

Open drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\NAFEMS_Freq_Test72.SLDASM.

Study Type

Frequency

Mesh Type

Solid mesh

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 = Uz = 0 at all nodes on X = 0 plane
  • Uz = 0 at nodes on Z = 1 m plane

Results

Frequency Theory (Hz) SOLIDWORKS Simulation (Hz)
1 16.007 15.81
2 87.226 85.188
3 125.96 125.69
4 209.56 202.99
5 351.11 337.4
6 375.81 374.73

Reference

NAFEMS, Publication R0015, The International Association for the Engineering Analysis Community, "Selected Benchmarks for Natural Frequency Analysis", Issue 2, Test 71, 1987.