A tale of two masses.

• Autores: Kurt Bryan
• Localización: Primus: problems, resources, and issues in mathematics undergraduate studies, ISSN 1051-1970, Vol. 21, Nº. 2, 2011 (Ejemplar dedicado a: A Tribute to Brian J. Winkel), págs. 149-162
• Idioma: inglés
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• Resumen

  • This article presents an application of standard undergraduate ODE techniques to a modern engineering problem, that of using a tuned mass damper to control the vibration of a skyscraper. This material can be used in any ODE course in which the students have been familiarized with basic spring-mass models, resonance, and linear systems of ODEs. Indeed, the problem can be used to motivate why one cares about spring-mass models, or numerical solutions to ODEs. Many suggested problems are included; most require the use of a symbolic and numerical ODE solver with graphical capabilities.