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Purdue School of Engineering and Technology

Purdue School of Engineering and Technology

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.

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:

  1. Explain the concept of a system, as well as the inputs and outputs of a system [a]
  2. Identify the difference between single and multiple inputs and outputs, in particular, the acronyms: SISO, MIMO, etc. [a]
  3. Formulate the governing differential equations for simple mechanical systems governed by Newton’s laws of motion and Hooke’s law [e]
  4. Formulate differential equations for simple electrical circuits using Kirchhoff’s and Ohm’s laws [e]
  5. Apply the concept of electro-mechanical analogies based on the force-current analogy and on the force-voltage analogy [e]
  6. Solve linear differential equations by using Laplace transform methods, and partial fraction expansions [e]
  7. Derive the State-Space equations for a dynamic system whose linear ordinary differential equations are given [e]
  8. Obtain the eigenvalues and eigenvectors of simple matrices with real elements using MATLAB [k]
  9. Obtain the frequency response of first and second order systems using MATLAB [k]
  10. 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
  1. System functions, poles, zeros (2 periods)
  2. Laplace transforms (4 periods)
  3. Block diagrams (1 periods)
  4. Transfer function (2 periods)
  5. Transient response of linear systems (3 periods)
  6. Sinusoidal steady state analysis (4 periods)
  7. State space approach (3 periods)
  8. Dynamic system elements (8 periods)
    • Mechanical
    • Electrical
    • Electromechanical
    • Fluid
    • Thermal