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1999-Marchand-McDevitt-Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations

Author(s): Rich Marchand

NA

Keywords: earthquake nondimensionalization Coulomb damping mechanical vibration

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Abstract

Resource Image The project takes full advantage of analytical, numerical, and qualitative techniques to explore the mechanical vibrations of buildings during an earthquake.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
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Course
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Technology
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Description

Marchand, R. and T. J. McDevitt. 1999.  Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations: A Case Study.  International Journal of Engineering Education. 15(6): 477-485.

See https://www.ijee.ie/articles/Vol15-6/ijee1107.pdf . Accessed 27 March 2023.

Article Abstract:  This paper discusses an interdisciplinary project administered at the US Military Academy in a calculus with differential equations course. The project takes full advantage of analytical, numerical, and qualitative techniques to explore the mechanical vibrations of buildings during an earthquake. The traditional treatment of mechanical vibration topics in an elementary ODE course is extended through the use of non-dimensionalization, energy related concepts, Coulomb damping, systems of differential equations and the use of computer animations to develop physical intuition and engineering concepts. A primary goal is to allow students to experience both the capabilities and the limitations of technology.

 

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Authors

Author(s): Rich Marchand

NA

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