Natural Frequencies of a Ring

Description

Calculate the natural frequencies of an Alloy Steel ring with an outer diameter of 40", inner diameter of 36", and a thickness of 2 inches.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Frequency_14.SLDPRT and open the file.

Study Type

Frequency.

Mesh Type

Solid mesh.

Number of modes

The number of modes is set to 6 in the properties of the study.

Restraints

A planar face is constrained in its normal direction.

Results

The first 3 modes are rigid body modes (0 frequency).
Mode shape no. Theory (Hz) SOLIDWORKS Simulation (Hz)
4 139.87 140.93
5 139.87 140.94
6 392.15 395.26
7 392.15 395.35
8 742.79 749.09
9 742.79 749.22

Reference

Robert D. Blevins, "Formulas for Frequency and Mode Shape," 1984.