ME 514 Modeling of Dynamic Systems

This course is designed to equip students with a fundamental set of modeling skills. Students will learn how to create mathematical models of physical, multi-energy domain systems involving power and information exchanges that can be effectively solved on a computer for the purposes of performance evaluation, design sensitivity studies, control system design, model based monitoring and so on.

Students will be introduced to unified approaches to abstracting systems into models, regardless of whether the system in question involves mechanical, fluid, or electrical energy or any combination thereof. The common language and methodology of these approaches allow engineers to discuss the physics of mechanical, electrical, and fluid systems in a very concise yet correct manner. Among these approaches Bond Graphs techniques will be emphasized since certain model properties (physical consistency, for example) are encoded very strongly yet flexibly in Bond Graphs. This fact endows the Bond Graph technique with some very attractive features, that will be exploited throughout the course. However, since Bond-Graphing is really just another language and is neither spoken by all engineers, nor is best suited for all modeling purposes, other modeling techniques as well as methods to convert Bond Graph models into other forms of models, for example their Block-Diagram equivalents, will be exercised.

The emphasis in this course is not on the mechanics of deriving equations but rather on understanding how the engineering task determines the modeling objectives and what modeling assumptions are appropriate. To this end, system analysis techniques will be exercised. These techniques include free and forced response, model solutions, eigenvalues and eigenvectors, s-plane analysis and frequency response methods. In addition, linearization and numerical integration techniques will be reviewed.