AC 2007-2577: TEACHING OF DYNAMIC SYSTEMS WITH INTEGRATED ANALYTICAL AND NUMERICAL TECHNIQUES (original) (raw)

Mastering ordinary differential equations is very important and essential to being successful in this course of Dynamics Systems. In order to help the students further explore these new concepts and overcome some of the issues related to these deficiencies in material recall, integrated analytical and numerical techniques are adopted in teaching. One problem can be solved by various different approaches. Analytically, the method of undetermined coefficients and the Laplace transform method are used. Numerically, the transfer function method and the block diagram method in Simulink; LTI models, and symbolic toolbox in Matlab, etc, are used. Numerical approaches, especially with the transfer function method in Simulink, visualize the physics and results behind the seemingly daunting equations. By showing the application of different techniques to the same problem, students are inspired to learn the resulting similarities and differences. The MATLAB graphical user interfaces were developed for second order dynamic systems for both free vibration and forced vibration. The visual interface presents results in a way that students can immediately identify the effects of changing system parameters. Both time response and frequency response are clearly shown in the interface. In the course, a research related project is assigned to identify the dynamic response of a portable telecommunication device. In this project, students are required to use both analytical and numerical approaches to show the insight of the material selection affects the reliability of the portable telecommunication devices.

Sign up for access to the world's latest research.

checkGet notified about relevant papers

checkSave papers to use in your research

checkJoin the discussion with peers

checkTrack your impact