Learning Mechanical Vibrations with Wolfram Mathematica

Learning Mechanical Vibrations with Wolfram Mathematica

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 d...

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Bibliographic Details
Main Author: Mario Lázaro
Format: Article
Language:English
Published: Universitat Politècnica de València 2015-07-01
Series:Modelling in Science Education and Learning
Subjects:
mechanical vibrations
mass-spring-dashpot system
graphical representation
Wolfram Mathematica
time domain animation
Online Access:http://polipapers.upv.es/index.php/MSEL/article/view/3522
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spelling doaj-c1f522b43e264f55aef647f06860a19b2020-11-24T22:21:05ZengUniversitat Politècnica de ValènciaModelling in Science Education and Learning1988-31452015-07-01829310810.4995/msel.2015.35223051Learning Mechanical Vibrations with Wolfram MathematicaMario Lázaro0Universidad Politécnica de ValenciaMechanical 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 realityhttp://polipapers.upv.es/index.php/MSEL/article/view/3522mechanical vibrationsmass-spring-dashpot systemgraphical representationWolfram Mathematicatime domain animation
collection DOAJ
language English
format Article
sources DOAJ
author Mario Lázaro
spellingShingle Mario Lázaro
Learning Mechanical Vibrations with Wolfram Mathematica
Modelling in Science Education and Learning
mechanical vibrations
mass-spring-dashpot system
graphical representation
Wolfram Mathematica
time domain animation
author_facet Mario Lázaro
author_sort Mario Lázaro
title Learning Mechanical Vibrations with Wolfram Mathematica
title_short Learning Mechanical Vibrations with Wolfram Mathematica
title_full Learning Mechanical Vibrations with Wolfram Mathematica
title_fullStr Learning Mechanical Vibrations with Wolfram Mathematica
title_full_unstemmed Learning Mechanical Vibrations with Wolfram Mathematica
title_sort learning mechanical vibrations with wolfram mathematica
publisher Universitat Politècnica de València
series Modelling in Science Education and Learning
issn 1988-3145
publishDate 2015-07-01
description 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
topic mechanical vibrations
mass-spring-dashpot system
graphical representation
Wolfram Mathematica
time domain animation
url http://polipapers.upv.es/index.php/MSEL/article/view/3522
work_keys_str_mv AT mariolazaro learningmechanicalvibrationswithwolframmathematica
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