Systems 220: Dynamical Modeling I

Professor: Rajesh Ganesan, Ph.D.           

Engineering Bldg Room 2217

Phone: (703) 993-1693                                                    

Fax: (703) 993-1521                                                                                 

Email: rganesan at gmu dot edu

Syllabus

2-semester SYST 220/1 and  320 Test book: https://www.mheducation.com/highered/product/system-dynamics-palm/M9780078140051.html

Plan of Study: All BS in Systems Eng Majors must meet their advisors and prepare a plan of study if this has not been done earlier. The plan of study must be submitted to Rania at the SEOR office. At the end of the semester Rania  will check to see whether your plan of study is on file. If not, you will receive an IN (incomplete) grade for SYST 220. Therefore, make appointments with your advisors asap. You can find your advisor's name and office hours by checking on patriotweb or on the notice board outside the department office.

Important Dates

Weeks 1-4

Introduction to dynamical models

Discrete dynamical models with difference equations(not in book)  These are hand written class notes from Sp 2020. You may find them useful. CN2S20 CN3S20

notes 1   

notes 2

Hw 1 Due Feb 19 Solution

notes 3    loan calculator

notes 4

notes 5

notes 6

notes 7

HW 2 Due Mar 5 solution (check your calculation against this solution)

Chapter 1 - Introduction (self read) CNchap1.pdf

Week 5

Chapter 2 - Continous dynamical models CNChapt2 - Part 1.pdf   formulas_1.pdf

1. Laplace transforms

2. Inverse Laplace

Hw 3:   (4th ed) 2.29(b), 2.35(f), 2.37(b), 2.41(c), 2.6(a)   solutions

Hw 3 :  (3rd ed) 2.6(b), 2.11 (f), 2.12 (b), 2.15 (c), 2.17 (a) Due March 12

Week 6

3. Solving ODE with constant RHS  CN Chap 2 - Part 2   

4. Properties of Laplace

5. Solving ODE with variable RHS

Week 7 - Midterm revision

Midterm Exam

Midterm Mar 15 Mon 7 30 AM – 9:30 AM  Topics from (Week 1 - 6)

Submit via Blackboard by 9 30 am on the exam day. You must solve by hand and not Matlab. Only one file can be uploaded. If you have a scanner, you can scan a pdf of your exam and upload. "Microsoft Lens" is a free pdf app for smartphones. You can scan multiple pages by taking a picture of many sheets one at a time, and create a single pdf using the app. Later upload the pdf to blackboard. Also, several online image to pdf free convertors are available. The exam is designed for 1  hr 15 min. The extra 45 min is for both completing the exam and for you to use some of it for scanning and uplaoding. Make sure all pages are uploaded before you submit.

Week 8 CN Chap 2 - Part 3

6.  Initial and Final value theorem 

7. Impulse function 

8. Stability

9. Transfer functions

10. Free, forced, steady, and transient parts of an ODE.

Hw 4: 4th ed  2.30, 2.40 (d), 2.16(a), 2.17 (c), 2.46, 2.56(a), 2.57 (b)

Hw 4: 3rd ed  2.10, 2.14(d) , 2.23 (a), 2.24(c), 2.33, 2.37 (a), 2.38 (b) Due April 7  solution

Weeks 9 and 10

Block Diagrams (chapter 5) CN Chap 5

Convert higher order ODE to lower order

SV - state-variable models

Introduction to Chapter 3 and 4 - Mechanical system

Hw 5: 4th ed 5.3, 5.5, 5.18, 5.22 , 5.23

Hw 5: 3rd ed 5.3, 5.5, 5.17, 5.21 , 5.22   Due April 16 solutions

Weeks 11 and 12 CN Chapter 3

Chapter 3 - Rigid Bodies

Weeks 13 and 14

Chapter 4 - springs and dampers  CN Chapter 4

Hw 6: 4th ed 3.11, 3.12, 3.19, 3.24, 3.30, 4.3, 4.19, 4.51 

Hw 6: 3rd ed 3.11, 3.12, 3.19, 3.24, 3.31, 4.3, 4.19, 4.51  Due April 30 solutions chpat 3  soln chapt 4

 Final exam review

Week 15

Final exam May 3 Mon 7 30 AM – 10:30 AM. exam is till 10:15 (2 hr 45 min) as per the university exam schedule. Last 15 minutes for uploading the file to BB or email me the file before 10 30 AM if BB fails.