Resonance phenomenon using 3D printing and computational mechanics

Authors

DOI:

https://doi.org/10.61117/ipsumtec.v8i3.384

Keywords:

3D printing, Cantilever beam, Computational mechanics, Mechanical vibrations, Resonance

Abstract

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

Download data is not yet available.

Metrics

Metrics Loading ...

Author Biographies

Adriana Anel Téllez Méndez , National Technological Institute of Mexico

Adriana Anel Téllez Méndez holds a Master's degree in Administration from the “Popular Autonomous University of the State of Puebla”, México. Her basic academic training is as an Industrial Engineer. She currently works at the "Technological Institute of Puebla", Mexico, in the Department of Basic Sciences and at the Technological University of Puebla in the Industrial Engineering program. Her research focuses on the methodology for the theoretical understanding of phenomena in the subjects of Differential and Integral Calculus, and Differential Equations.

Marino Viveros Mora , National Technological Institute of Mexico

Marino Viveros Mora received the Master's degree in Materials Science, his basis academic training is Mechanical Engineer. He is currently working in the College of Metal-Mechanical Engineering, at the "Technological Institute of Puebla", México. His research focuses on the study of technological applications for the creation or modification of materials and bioengineering in the design of machine elements.

Gustavo M. Minquiz Xolo , Distinguished Autonomous University of Puebla

Gustavo M. Minquiz received the Master's and Doctorate degree in Mechanical Engineering. Currently, he is Professor-Researcher in the College of Metal-Mechanical Engineering at the "Meritorious Autonomous University of Puebla" and the "Technological Institute of Puebla", México. He is part of the National System of Researchers of México – Level Candidate. His research area focuses on studying the energy saving and efficiency in manufacturing processes, design by CNC manufacturing and computational finite element analysis.

Gonzalo Espinosa Cuatlapantzi , National Technological Institute of Mexico

Gonzalo Espinosa Cuatlapantzi is Engineer and Master ́s degree in Mechanical Engineering. He is currently working in the College of Metal-Mechanical Engineering, at the "Technological Institute of Puebla", México. His research interests include the technological development focused on optoelectronic and microelectromechanical systems applications, ferroelectric and multiferroic materials for application in the development of solid-state electronic devices.

Javier Flores Méndez , Distinguished Autonomous University of Puebla

Javier Flores Méndez is Doctor in Materials Science. He also holds a Master’s degree in sciences in Mechanical Engineering and a second Master’s degree in Materials Science, his basis academic training is Mechanical Engineer. Currently, he is Professor-Researcher in the College of Metal-Mechanical Engineering at the "Meritorious Autonomous University of Puebla" and the "Technological Institute of Puebla", México. He is part of the National System of Researchers of México – Level 2. His research area focuses on studying the acoustic and electromagnetic response in metamaterials, design of machine elements and computational finite element analysis.

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

Published

2025-10-08

Crossmark

Crossmark Policy Page

How to Cite

Téllez Méndez , A. A., Viveros Mora , M., Minquiz Xolo , G. M., Espinosa Cuatlapantzi , G., & Flores Méndez , J. (2025). Resonance phenomenon using 3D printing and computational mechanics. REVISTA IPSUMTEC, 8(3), 82–87. https://doi.org/10.61117/ipsumtec.v8i3.384

Issue

Section

Artículos