### Modeling and Analysis of Dynamic Systems

#### ME 33000 / 3 Cr. (3 Class)

Introduction to dynamic engineering systems; electrical, mechanical, fluid, and thermal components; linear system response; Fourier series and Laplace transform.

**Available Online:** No

**Credit by Exam:** No

**Laptop required:** No

**Prerequisites/Co-requisites:**

P: MATH 26600 AND ECE 20400

##### Textbooks

System Dynamics, Fourth Edition by Katsuhiko Ogata, Prentice Hall, 2004

##### Software

MATLAB programming##### Goals

This course is designed to teach students the basic concept for modeling the behavior of dynamic systems. The development of a mathematical modeling for an engineering system is treated. Basic solution techniques for solving these problems and the interpretation of system behavior are discussed.

##### Outcomes

**After completion of this course, the students should be able to:**

- Explain the concept of a system, as well as the inputs and outputs of a system [a]
- Identify the difference between single and multiple inputs and outputs, in particular, the acronyms: SISO, MIMO, etc. [a]
- Formulate the governing differential equations for simple mechanical systems governed by Newton’s laws of motion and Hooke’s law [e]
- Formulate differential equations for simple electrical circuits using Kirchhoff’s and Ohm’s laws [e]
- Apply the concept of electro-mechanical analogies based on the force-current analogy and on the force-voltage analogy [e]
- Solve linear differential equations by using Laplace transform methods, and partial fraction expansions [e]
- Derive the State-Space equations for a dynamic system whose linear ordinary differential equations are given [e]
- Obtain the eigenvalues and eigenvectors of simple matrices with real elements using MATLAB [k]
- Obtain the frequency response of first and second order systems using MATLAB [k]
- Simulate linear and nonlinear dynamic systems using MATLAB, and present the results in the time domain, or the frequency domain, or the phase space [k]

Note: The letters within the brackets indicate the general program outcomes of mechanical engineering. See: ME Program Outcomes.

##### Topics

- System functions, poles, zeros (2 periods)
- Laplace transforms (4 periods)
- Block diagrams (1 periods)
- Transfer function (2 periods)
- Transient response of linear systems (3 periods)
- Sinusoidal steady state analysis (4 periods)
- State space approach (3 periods)
- Dynamic system elements (8 periods)
- Mechanical
- Electrical
- Electromechanical
- Fluid
- Thermal