When a beam is subjected to an axial load, the resonant frequency of the beam will undergo a shift in frequency. This is utilized in resonant sensors to detect the axial force for instance, which in turn will be related to the measurand.
Using this design interface, the fundamental frequency, resonant frequency with axial load and the resulting frequency shift can be estimated. The solution is done by assuming an approximate mode shape function. The error involved in this solution is very small if the axial load is small or the frequency shift is 15% or less.
The plot shows the frequency shift for the given beam due to the axial load. The frequency shift is equal to the difference in frequency of the two amplitude peaks. It can be observed that when the axial force is increased, the separation between the amplitude peaks increases.