Free vibration frequency of a double-clamped beam
len length of the beam in µm
wid width of the beam in µm
thc thickness of
beam in µm
den density of the material of the beam in
ymod Young's modulus in GPa
sel number denoting the
Use 2 for first modal frequency
This design interface can be used to determine the fundamental frequency of
vibration of a double-clamped beam. The two ends of the beam are rigidly
fixed. For this analytical solution, width of the beam has only minimal
influence on the fundamental frequency of vibration.
The plot shows the amplitude frequency relationship for the given beam.
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
-The property of the material remain constant across the beam length.
is not considered.
Mechanics > Vibration > Free vibration > Clamped beam > Clamped beam