Learning Mechanical Vibrations with Wolfram Mathematica
- Autores: Mario Lázaro
- Localización: Modelling in Science Education and Learning, ISSN-e 1988-3145, Vol. 8, Nº. 2, 2015, págs. 93-108
- Idioma: inglés
- DOI: 10.4995/msel.2015.3522
- Enlaces
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Resumen
Mechanical vibrations as subject can be found within many Engineering and Science Degrees. To achieve that the students understand the mathematics and its physical interpretation is the objective we should get as docents. In this paper we describe how to create a simple graphical model of a single degree of freedom vibrating system allowing us to visualize concepts like above concepts damping, resonance or forced vibrations. For that, we use the popular symbolic software Wolfram Mathematica with which, without an excessive programming complexity, we can obtain a very satisfactory visual model capable to move itself, controlled by parameters. In addition, the model incorporates the curve-response, something that links the mathematical results with reality
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Referencias bibliográficas
- García-Fogeda, P., & Sanz-Andrés, A. (2014). Introducción a las vibraciones. Garceta Grupo Editorial.
- Gatti, P. L., & Ferrari, V. (2003). Applied Structural and Mechanical Vibrations. Theory, Methods and measouring instrumentation. Taylor...
- He, J., & Fu, Z.-F. (2001). Modal Analysis. Butterworth Heinemann.
- Hodges, D. H., & Pierce, G. A. (2001). Introduction To Structural Dynamics And Aeroelasticity. Cambridge Aerospace Series.
- Kelly, S. G. (2000). Fundamentals of Mechanical Vibrations. McGraw Hill.
- Meirovitch, L. (2001). Fundamentals of Vibrations. McGraw Hill.
- MIT Open Course Ware. Mechanical Vibrations. (2011).
- Paz, M. (2013). Structural dynamics: theory and computation. Springer.
- Thorby, D. (2008). Structural Dynamics and Vibration in Practice. Butterworth Heinemann.
- Wolfram Mathematica. (2015).
- Wright, J. R., & Cooper, J. E. (2007). Introduction to Aircraft Aeroelasticity and Loads. John Wiley & Sons.
