Mathematicaを活用した専攻科演習の改善

概要

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The learning environment that is able to use Mathematica renowned as an information processing toolwith multiple functions enabled formula manipulation, numerical calculation, and graph drawing on acommand basis was prepared. This paper describes the improvement of teaching materials for the engineeringeducation of advanced exercise. Focus on the self-excited vibration, the numerical simulations about thenonlinear differential equation called the van der Pol equation was performed and considered the parameterdependence on the time variations of response. The animation function was suitable for the visualization ofthe trajectory on the phase plane, and fostered students to understand the existence of the limit cycle and itsconvergence rate. Furthermore, the optimal design of the dynamic vibration absorber by applying the fixedpoint theory was dealt with as the practical exercise. The control of the vibration phenomena using thedynamic vibration absorber was instructive on damping technique of various engineering equipment andhigh-rise buildings. By utilizing Mathematica, the various types of nonlinear differential equations were ableto study on the analytical and numerical methods.
2012-01-31