AME 403a-Computer-Aided Design and Analysis With Matlab (2) The use of the Matlab programming package for solving problems commonly encountered in the design and analysis of mechanical systems; basic and intermediate programming techniques, solution procedures, and graphical representation of data in Matlab for problems from various disciplines; construction of GUIs in Matlab. 1 ES, 1 ED. P, AME 301, AME 302; desirable any one or more of AME 324a, AME 324b, AME 352, AME 432, AME 460, AME 455.

An Engineer's Guide to Matlab^®, 2^nd Ed.
Edward B. Magrab et al.
Pearson Prentice Hall, 2005

Class notes will be an integral component of instruction; material presented in the class and posted on the Web will supplement and will sometimes be different from the treatment in the text.

Ara Arabyan
Associate Professor
Office: AME N635
Office Hours: MW 2:00-4:00
E-mail: arabyan@ame.arizona.edu

1. Basic principles of linear algebra, matrix notation, and solution of linear algebraic equations.
2. Basic numerical methods for solving linear and nonlinear algebraic equations and linear and nonlinear differential equations.
3. Basic understanding of structural analysis, dynamics, machine design, controls, heat transfer.

None.

Overall Educational Goal:

The objective of this course is to introduce juniors and early seniors to the Matlab programming environment for writing scripts to solve and analyze simple to moderately complex problems commonly encountered in mechanical systems.

Specific Instructional Goals:

1. Develop an understanding of arrays and array operations and philosophy of the Matlab programming environment.
2. Develop a working knowledge of programming procedures and flow control structures used in Matlab.
3. Develop an understanding of solution methods for various classes of mathematical problems.
4. Develop an appreciation for the approximations involved and ability to assess the reliability of results.
5. Develop abilities to transform physical systems to mathematical models that can be solved or simulated by Matlab or Simulink.
6.  Provide hands-on experience with various Matlab toolboxes.

1. Basics of MATLAB

i)                    Arrays and array operations

ii)                  Input/output and data structures

iii)                Program flow control

iv)               Major built-in functions

v)                 User-defined functions and their utilization

vi)               2D and 3D graphics

2. Design of Machine Elements

i)                    Stresses and deflections in determinate and indeterminate beams

ii)                  Kinematics and dynamics of four-bar linkages

iii)                Design and synthesis of cam profiles

3. Vibrations

i)                    Free and forced oscillations of linear and nonlinear systems

ii)                  Frequency response analysis

iii)                Machine tool chatter

iv)               Multi-DOF systems

v)                 Vibrations of continuous systems

4. Control Systems

i)                    The MATLAB Control Toolbox

ii)                  State-space models

iii)                Response of systems

iv)               Introduction to SIMULINK

5. Heat Transfer

i)                    Transient heat conduction in bars, slabs, tubes, and shells

ii)                  Examination of convection and radiation processes

iii)                MATLAB's PDE Toolbox

6. Optimization

i)                    Concepts of linear and nonlinear programming

ii)                  Constrained and unconstrained optimization problems

iii)                MATLAB's Optimization Toolbox

7. Design of Graphical User Interfaces in MATLAB

i)                    Elements of GUIs

ii)                  Simple GUIs for basic engineering problems (e.g. shear-moment diagrams for beams, synthesis of four-bar linkages)

1. One lecture and one lab session per week.

2. Hand and Matlab-solved homework problems approximately every week. Approximately eight hours of work required each week. Homework assigned each Thursday, due by 4:30 pm the Friday of following week. No late homework accepted. [25 percent of grade].

3. One midterm examination (date TBA). No makeup examinations will be given. [25 percent]

4. One term project (due TBA). [50 percent]

Students are introduced to Matlab (student or academic version) and are required to use it in their term project and much of their homework. Students should expect to spend considerable time on computers on modeling and solving different types of mechanical engineering problems.

None.

1. Through examination and homework grades.

2. Design project (creativity, initiative, and model building work rewarded by bonus points).

Engineering Science: 1 credit or 50%

Engineering Design: 1 credit or 50%