We propose a device for classroom demonstrations of resonance in cylindrical beams. It comprises a set of beams of different lenghts attached to a ring linked to a vibration source. By adjusting the vibration frequency, one makes beams resonate, allowing qualitative analysis of the vibrational modes. We give a simplified model for the resonance modes, linking each beam's geometry and material to its resonance frequencies. We show that a mode's frequency is inversely proportional to beam length squared, and that given a mode's frequency, geometry and density of a beam, we may calculate its material's modulus of elasticity. We validate our model by experimental results and propose new applications to the device.
CITATION STYLE
dos Reis, R., Ito, P. H. E., Felicio, S. E. S., & Paiva, F. F. (2018). Device for studying resonance and elasticity in cylindrical beams. Revista Brasileira de Ensino de Fisica, 40(4). https://doi.org/10.1590/1806-9126-RBEF-2018-0074
Mendeley helps you to discover research relevant for your work.