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ME
318
System Dynamics
Mathematical modeling and analysis of dynamic systems with mechanical, electrical and fluid elements, linearization techniques, transient and steady-state response, introduction to design and synthesis, frequency response.
Prerequisites:
0410240,0600203,0600205
0630318
(3-0-3)

Text Book:

W. J. Palm III, System Dynamics, 4th Edition, Prentice-Hall, 2020.

Reference:

  • R. L. Woods and K. L. Lawrence, Modeling and Simulation of Dynamic Systems, Prentice Hall, 1997.
  • I. Cochin and W. Cadwallender, Analysis and Design of Dynamic Systems, Addison-Wesley, 1997.
  • K. Ogata, System Dynamics, Prentice Hall, 4th Ed, 2004.

Coordinator:

Dynamics and Control TAG

Prerequisites by Topics:

  1. Dynamics of Particles and Rigid Bodies.
  2. Elementary Circuit Theory.
  3. Ordinary Differential Equations.

Course Topics:

  1. Introduction to System Concepts.
  2. Modeling of Lumped Elements (single DOF).
  3. Modeling of Lumped Systems (multi DOF).
  4. Solution Methods.
  5. Free Response of First and Second Order Systems.
  6. Forced Response of First and Second Order Systems.
  7. Design of System for Specific Given Response.
  8. Electrical/Electromechanical and Fluid Systems.
  9. Computer Simulation using MATLAB/Simulink.
  10. Frequency Response.

Learning Objectives[^1]:

  1. To teach students how to model various types of physical systems (mechanical, electrical, and fluid systems). (1)
  2. To teach students solution techniques using different mathematical analytical tools. (1)
  3. To introduce students to computational tools and their potential to solving complex systems. (1)
  4. To provide students with the practice of effectively communicating their engineering skills through term project. (2,3)

[^1] Numbers in parenthesis refer to the student outcomes.

Evaluation Methods

  1. Exams.
  2. Quizzes.
  3. Homework.
  4. Computer Assignments.
  5. Project.

Learning Outcomes:

Upon completion of this course, students will be able to:

Objective 1

1.1 apply Newton's laws and energy methods (e.g. Lagrange) to obtain a mathematical model of a mechanical system and derive its system equation.

1.2 apply Lagrange to obtain a mathematical model of a mechanical system and derive its system equation.

1.3 apply Kirchoff's laws to obtain a mathematical model of an electrical system and derive its system equation.

1.4 apply the continuity equation to obtain a mathematical model of a fluid system and derive its system equation.

Objective 2

2.1 analytically solve the system equation for first order and second order systems and sketch its response.

2.2 apply the Laplace transform method to solve the system equation for first order and second order systems.

2.3 solve the system response to various types of inputs and shall be able to identify both the transient and steady state responses.

2.4 analytically obtain the frequency response to both first order and second order systems.

2.5 apply linearization techniques to simplify non-linear systems.

Objective 3

3.1 simulate lumped mathematical models using MATLAB (Simulink) and obtain their responses.

Objective 4

4.1 design systems consisting of mechanical, electrical or fluid elements for a specific response.

4.2 effectively communicate their work by written report and/or oral presentation.

Course Classification

Student Outcomes Level Relevant Activities
1. An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics. H Modeling and analysis of systems, differential equations, applied physics, Model solutions, and validations
2. An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors. M Projects
3. An ability to communicate effectively with a range of audiences. M Project Presentation / Report
4. An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts.
5. An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives.
6. An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions.
7. An ability to acquire and apply new knowledge as needed, using appropriate learning strategies.