%0 Generic %A Reis, Renan dos %A Ito, Pedro Hiroshi Ely %A Felicio, Solano Elias Souza %A Fernandes Paiva, Fernando %D 2018 %T Device for studying resonance and elasticity in cylindrical beams %U https://scielo.figshare.com/articles/dataset/Device_for_studying_resonance_and_elasticity_in_cylindrical_beams/6502883 %R 10.6084/m9.figshare.6502883.v1 %2 https://scielo.figshare.com/ndownloader/files/11953103 %2 https://scielo.figshare.com/ndownloader/files/11953106 %2 https://scielo.figshare.com/ndownloader/files/11953109 %2 https://scielo.figshare.com/ndownloader/files/11953115 %2 https://scielo.figshare.com/ndownloader/files/11953118 %2 https://scielo.figshare.com/ndownloader/files/11953121 %2 https://scielo.figshare.com/ndownloader/files/11953127 %K resonance %K elasticity %K beams %X

Abstract 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.

%I SciELO journals