Natural Frequencies of a Two-Mass Spring System

Description

Determine the normal modes and natural frequencies of the spring-mass system shown below.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Frequency_8.SLDASM and open the file.

Study Type

Frequency.

Mesh Type

Solid mesh.

Meshing Parameters

Use a Global Size of 1 in.

Spring and Mass Properties

m₂ = 2m₁ = 1 lb-sec²/in, k₂ = k₁ = 200 lb/in, k_c = 4k₁ = 800 lb/in.

Modeling Hints

A spring connector is used to simulate the spring between the two masses. Elastic supports are used to simulate the springs between the masses and the walls. Small cubes are used to model the masses.

Results

Reference

Thomson, W. T., “Vibration Theory and Application, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 2nd printing, 1965, p. 163.