MECHENG 7380
Transcript Abbreviation:
Lumped Param Syst
Course Description:
Mathematical model development and response prediction of linear lumped parameter dynamic systems. Input-output and state-space methods are used to develop insights into design, sensor placement and diagnostics, and actuator selection for control.
Course Levels:
Graduate (5000-8000 level)
Designation:
Elective
General Education Course:
(N/A)
Cross-Listings:
(N/A)
Credit Hours (Minimum if “Range”selected):
3.00
Max Credit Hours:
3.00
Select if Repeatable:
Off
Maximum Repeatable Credits:
(N/A)
Total Completions Allowed:
(N/A)
Allow Multiple Enrollments in Term:
No
Course Length:
14 weeks (autumn or spring)
12 weeks (summer only)
Off Campus:
Never
Campus Location:
Columbus
Instruction Modes:
In Person (75-100% campus; 0-24% online)
Prerequisites and Co-requisites:
Prereq: Math 2174, 2415 (415), or 4512 (512), or Grad standing in MechEng, or permission of instructor.
Electronically Enforced:
No
Exclusions:
Not open to students with credit for 780 or 880.
Course Goals / Objectives:
Develop ability to model continuous-time, linear, lumped parameter systems, using input-output description and internal variable description
Develop mathematical models based on direct methods
Predict system response to specified inputs using impulse response, convolution integral, and frequency response approaches
Predict system response to specified inputs using state space approaches, including the state transition matrix and solution of system equations
Become familiar with concepts of state controllability, observability, and stability, along with methods of quantitative analysis
Perform case studies and projects on systems of some complexity using modeling and response prediction techniques, in design, sensing, and actuation applications
Become familiar with computing tools for analysis and design of lumped parameter systems
Check if concurrence sought:
No
Contact Hours:
| Topic | LEC | REC out-of-class | REC in-class | Weekly LAB out-of-class | Weekly LAB in-class |
|---|---|---|---|---|---|
| Course introduction and overview | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Input-output description of linear systems: impulse response, convolution function | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Laplace transforms, transfer functions, poles and zeros, relation to impulse response | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Frequency response, Fourier Series and periodic response, Fourier Transforms and transient response, Discrete Fourier Transforms | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Matrix analysis and state space description of lumped parameter systems | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Eigenvalues and eigenvectors, modal decomposition and Jordan forms | 0.0 | 0.0 | 0 | 0.0 | 0 |
| State transition matrix and solution of system equations; impulse function matrix and transfer function matrix | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Controllability and observability; stability | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Project discussion | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Case studies of modeling and analysis of physical, multi-domain system response, including use of physical simulation | 0.0 | 0.0 | 0 | 0.0 | 0 |
| Total | 0 | 0 | 0 | 0 | 0 |
Grading Plan:
Letter Grade
Course Components:
Lecture
Grade Roster Component:
Lecture
Credit by Exam (EM):
No
Grades Breakdown:
| Aspect | Percent |
|---|---|
| Homework | 30% |
| Project | 30% |
| Exams | 40% |
Representative Textbooks and Other Course Materials:
| Title | Author | Year |
|---|---|---|
| No Textbooks and Other Course Materials Entered. | ||
ABET-CAC Criterion 3 Outcomes:
(N/A)
ABET-ETAC Criterion 3 Outcomes:
(N/A)
ABET-EAC Criterion 3 Outcomes:
(N/A)
Embedded Literacies Info: