ECE 59500 - Modeling and Simulation of Multidisciplinary Systems

Lecture Hours: 3 Credits: 3

Counts as:

Experimental Course Offered: Spring

Catalog Description:
In this course, we examine the latest methods in modeling and simulation of complex engineered systems. We use a unified energy-based approach to systematically model systems that are comprised of constrained electrical, mechanical, thermal, and fluid components. Simulation is based on numerical solution of nonlinear differential algebraic equations (DAEs). Systematic modeling is based on DAE forms of Hamilton's and Lagrange's equation. Such DAE forms readily accommodate dissipation, nonholonomic equality constraints, time-varying parameters, nonlinearities, and excess coordinates. We also incorporate such topics as reduced order modeling, finite element modeling and simulation, hybrid systems, and system of systems.

Supplementary Information:
Spring 2009 CRN 34116

Required Text(s): None.

Recommended Text(s):
  1. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations, 1st Edition, Uri M. Ascher and Linda R. Petzold, SIAM, 1998, ISBN No. 0898714125.
  2. Principles of Analytical System Dynamics, 1st Edition, Richard A. Layton, Springer-Verlag, 1998, ISBN No. 0387984054.

Learning Outcomes:

A student who successfully fulfills the course requirements will have demonstrated:
  1. The student will demonstrate a working ability to create system-level multidisciplinary models using virtual work, energy functions, and constraints.. [None]
  2. The student will demonstrate the ability to design complex engineered systems in the form of differential algebraic equations (DAEs). [None]
  3. The student will demonstrate the ability to numerically solve and assessing the reliability of the resulting system of DAEs.. [None]

Lab Outline:

Weeks Topic(s)
1 Introduction to modeling and simulation of multidisciplinary systems. Fundamentals of unified system dynamics.
1 Representation of motion. Constraints.
1 Variational concepts. Geometry of constraint.
2 Lagrangian differential algebraic equations of motion. Hamiltonian differential algebraic equations of motion.
3 Modeling multidisciplinary systems.
2 Simulating Multidisciplinary Systems.
1 Numerical methods, part 1: ODEs.
1 Numerical methods, part 2: DAEs.
1 Design space analysis.
2 Finite element method.

Engineering Design Content:

Synthesis
Analysis
Construction
Testing
Evaluation

Engineering Design Consideration(s):

Manufacturability