CANTFREQ,len,wid,thc,den,ymod,sel
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
Notes
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.
Assumptions
-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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Mechanics > Vibration > Free vibration > Cantilever > Cantilever beam
