Resonance phenomenon using 3D printing and computational mechanics
DOI:
https://doi.org/10.61117/ipsumtec.v8i3.384Keywords:
3D printing, Cantilever beam, Computational mechanics, Mechanical vibrations, ResonanceAbstract
This manuscript demonstrates a learning strategy both in the classroom and in a laboratory environment. This is summarized in studying the dynamic response of cantilever beams with the aim of simulating vibrating bar tachometers. Using three-dimensional printing, the presented prototype is a good choice to study the resonance phenomenon. It is shown that cantilever bars with the same length react in harmony when only one of them is excited to a single particular force.
Downloads
Metrics
References
Melanie Müller, “Imaging surfaces at the space–time limit: New perspectives of time-resolved scanning tunneling microscopy for ultrafast surface science”, Progress in Surface Science, 2024, vol 99, pp 100727. DOI: https://doi.org/10.1016/j.progsurf.2023.100727
Xiulin Shen, Zhenfei Lv, Kimiyoshi Ichikawa, Huanying Sun, Liwen Sang, Zhaohui Huang, Yasuo Koide, Satoshi Koizumi, Meiyong Liao, “Stress effect on the resonance properties of single-crystal diamond cantilever resonators for microscopy applications”, 2022, vol 234, pp 113464. DOI: https://doi.org/10.1016/j.ultramic.2022.113464
S.A. Huettel, A.W. Song and G. McCarthy, “Functional Magnetic Resonance Imaging”, 3rd Edition, Sinauer Associates: Sunderland Massachusetts, 2014. ISBN 9780878936274
Michael H. Tooley, “Electronic Circuits: Fundamentals and Applications”, 4th Edition, London:Routledge, 2015. ISBN 1138828920
A. Allen and J.H. Eberly, “Optical Resonance and Two-Level Atoms”, 1st Edition, Dover, 1987. ISBN 0486655334
Hairui Wang, Chen Wei, Yao Zhang, Yinji Ma, Ying Chen, Heling Wang, Xue Feng, “Tunable Three-Dimensional Vibrational Structures for Concurrent Determination of Thin Film Modulus and Density", J. Appl. Mech., 2022, vol 89(3), pp 031009. DOI: https://doi.org/10.1115/1.4053147
S. Chekurov, M. Wang, M. Salmi, J. Partanen, “Development, Implementation, and Assessment of a Creative Additive Manufacturing Design Assignment: Interpreting Improvements in Student Performance”, Education Sciences, 2020, vol 10(6), pp 156. DOI: https://doi.org/10.3390/educsci10060156
R. Prabhu, T. W. Simpson, S. R. Miller, N. A. Meisel, “Break it down: comparing the effects of lecture- and module-style design for additive manufacturing educational interventions on student designers’ learning and creativity”, International Journal of Design Creativity and Innovation, 2023, vol 11(4), pp 229–252. DOI: https://doi.org/10.1080/21650349.2023.2241049
Lawrence N. Virgin, “Vibration of Axially Loaded Structures”, 1st Edition, Cambridge University Press, 2012.
M. Trujillo, M. Cheng-Guajardo, M. Curtin, A. Abdelkefi, “Experimental characterization of bending modes and investigation of multi-stable solutions of PLA-based additively manufactured beams”, Mechanical Systems and Signal Processing, 2024, vol 220, pp 111665. DOI: https://doi.org/10.1016/j.ymssp.2024.111665
M. Trujillo, L. Corral, M. Curtin, A. Abdelkefi, “Comparative investigations on the dynamical responses of ABS and PLA additively-manufactured beams”, International Journal of Non-Linear Mechanics, 2023, vol 157, pp 104558. DOI: https://doi.org/10.1016/j.ijnonlinmec.2023.104558
Lawrie N. Virgin, “On the Free Vibration of 3D-Printed Structural Elements”, J. Phys.: Conf. Ser., 2024, vol 2909, pp 012011. DOI: https://doi.org/10.1088/1742-6596/2909/1/012011
S. Khalilpourazary, F. Kafili, “Eco-friendly free-size paper models: Integrating additive manufacturing with laser cutting for educational applications”, International Journal of Mechanical Engineering Education, 2025, vol 1(1). DOI: https://doi.org/10.1177/03064190241307646
Lawrence N. Virgin, “Comparative structural stiffness: Exploiting 3D-printing”, Am. J. Phys., 2020, vol 88(12), pp 1049–1058. DOI: https://doi.org/10.1119/10.0001756
Richard G. Budynas, Ali M. Sadegh. “Roark’s Formulas for Stress and Strain”, 9th Edition, McGraw Hill, 2020. ISBN 1260453758
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Adriana Anel Téllez Méndez , Marino Viveros Mora , Gustavo M. Minquiz Xolo , Gonzalo Espinosa Cuatlapantzi , Javier Flores Méndez

This work is licensed under a Creative Commons Attribution 4.0 International License.
