To calculate the Natural frequency of vibration using the Rayleigh method for a light cantilever beam with a mass at the free end.
Reference
Thomson, W.T., Vibration Theory and Applications, Prentice-Hall, Inc., 1965.
Problem
Find the natural frequency of vibration, f, of a mass, m, attached to the end of a light cantilever beam of length, L, and flexural stiffness, EI.
Model for dynamic beam no. 2
Comparison
Table 1. Comparison of results
Result Type |
Theory |
STAAD.Pro
|
Difference |
Frequency, f (Hz) |
33.553 |
33.5365 |
none |
STAAD Output
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* *
* RAYLEIGH FREQUENCY FOR LOADING 1 = 33.53649 CPS *
* MAX DEFLECTION = 0.00870 INCH GLO Y, AT JOINT 2 *
* *
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