Free vibration frequency of a cantilever beam

len         length of the cantilever in µm
wid        width of the cantilever in µm
thc         thickness of cantilever in µm
den       density of the material of the beam in kg/m3
ymod    Young's modulus
sel         number denoting the selected result.
              Use 1 for first modal frequency, 3 for second modal frequency


This design interface can be used to determine the natural frequency of vibration of a cantilever. The first and second modal frequency can be estimated. The end of the cantilever is rigidly fixed. In this analytical solution, the modal frequency is independent of width of the beam. For the first mode, this could be assumed to be true for calculation purposes.

The plot shows the amplitude frequency relationship for the given cantilever. It shows the first resonance frequency as a sharp rise in amplitude. Using the cross hair tool, the resonant frequency and the corresponding relative amplitude can be obtained.


-The default material is Silicon with a Young's modulus of 180GPa and Poisson's ratio of 0.3.
-The beam has uniform cross section.
-The weight of the beam is uniformly distributed.
-The property of the material remain constant across the beam length.
-Damping is not considered.
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