An Investigation of the Correlation Between the Resonant Frequency of Cantilever Beams with Their Dimensions

Vibration signals are particularly important in the field of machinery condition monitoring and troubleshooting. However, highly sensitive sensors are susceptible to interference in harsh environments and are costly. Therefore, mechanically boosting vibration signals has a big potential to increase monitoring accuracy. It is interesting to design free-end cantilever beam constructions that can resonate at particular frequencies by changing their diameters. In this paper, the intrinsic frequency is simulated by varying the dimensions of cantilever beam height, length, width, and thickness using the finite element method. In the end, SPSS was applied to determine that there was a substantial link between the thickness of the cantilever beam and the intrinsic frequency of the system, yielding a correlation value of <0.001. The modest correlation coefficients between the intrinsic frequency and the height of the support bar, cantilever beam length, and width are 0.765, 0.396, and 0.813, respectively, which showed a little link with the intrinsic frequency. Signal amplification structures with specific resonance frequencies obtained by changing the dimensions of the cantilever beams are particularly suitable for the collection of vibration signals in harsh environments.