Difference between revisions of "Engineering Analysis 3"
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** Center of mass |
** Center of mass |
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** Friction example [https://othello.mech.northwestern.edu/ea3/book/newton/Example8.htm 8], [https://othello.mech.northwestern.edu/ea3/book/newton/Example9.htm 9], [https://othello.mech.northwestern.edu/ea3/book/newton/Example10.htm 10], [https://othello.mech.northwestern.edu/ea3/book/newton/Example11.htm 11] |
** Friction example [https://othello.mech.northwestern.edu/ea3/book/newton/Example8.htm 8], [https://othello.mech.northwestern.edu/ea3/book/newton/Example9.htm 9], [https://othello.mech.northwestern.edu/ea3/book/newton/Example10.htm 10], [https://othello.mech.northwestern.edu/ea3/book/newton/Example11.htm 11] |
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* '''System dynamics and momentum conservation''' |
* [https://othello.mech.northwestern.edu/ea3/book/momentum/Momentum.htm '''System dynamics and momentum conservation'''] |
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** Momentum impulse [https://othello.mech.northwestern.edu/ea3/book/momentum/Impulse.htm example] |
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⚫ | |||
** Conservation of momentum [https://othello.mech.northwestern.edu/ea3/book/momentum/Projectile.htm projectile example] |
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** Impact and [https://othello.mech.northwestern.edu/ea3/book/momentum/Collision.htm cars colliding example] |
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⚫ | |||
** Principle of work and energy |
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** Mechanical energy equation example [https://othello.mech.northwestern.edu/ea3/book/energy/Block.htm 1], [https://othello.mech.northwestern.edu/ea3/book/energy/Energy.htm#springs 2], [https://othello.mech.northwestern.edu/ea3/book/energy/Springs.htm 3], [https://othello.mech.northwestern.edu/ea3/book/energy/Energy.htm#enmomapplications 4] |
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** Energy stored in springs and dissipated in dampers: [https://othello.mech.northwestern.edu/ea3/book/energy/Energy.htm#Bungee bungee jumper example] |
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* '''Transformers''' |
* '''Transformers''' |
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* '''Numerical solution of coupled differential equations''' |
* '''Numerical solution of coupled differential equations''' |
Revision as of 17:37, 15 March 2023
EA3 System Dynamics, Spring Quarter 2023
Instructors, TAs, and Sections
- Section 21, 10-10:50 MWF, Tech M345: Prof. Kevin Lynch, kmlynch@northwestern.edu. Tuesday: Tech M345.
- Section 20, 11-11:50 MWF, Pancoe Auditorium: Prof. Jeremy Keys, jeremy.keys@northwestern.edu. Tuesday: Frances Searle 1421.
- Section 23, 1-1:50 MWF, Pancoe Auditorium: Prof. Cheng Sun, c-sun@northwestern.edu. Tuesday: Annenberg G15.
- Section 22, 2-2:50 MWF, Pancoe Auditorium: Prof. Sandip Ghosal, s-ghosal@northwestern.edu. Tuesday: Tech L211.
TAs:
- Ayesha Ahmed, ayesha.ahmed1@northwestern.edu
- Caralyn Collins, CaralynCollins2024@u.northwestern.edu
- Shizhou Jiang, shizhou.jiang@northwestern.edu
- Shuting Lai, ShutingLai2023@u.northwestern.edu
- Haklae Lee, haklae.lee@northwestern.edu
- Rui Li, ruili2024@u.northwestern.edu
- Asma Meem, asma.meem@northwestern.edu
- Nibir Pathak, NibirPathak2021@u.northwestern.edu
- Dono Toussaint, DonoToussaint2027@u.northwestern.edu
Course Summary
EA3 focuses on the modeling of dynamic systems, the reduction of models to differential equations of motion, and some exploration of the system behavior relating to the solution of those equations.
The goal is to learn system modeling across disparate physical domains (mechanical, electrical systems). We will typically proceed using the following steps:
- to understand the elements of each domain (e.g. spring, capacitor; or force, voltage)
- to express precisely the way in which the elements interact (e.g. free-body diagrams, circuit diagrams)
- to reduce the idealized systems to equations
- to understand the behavior of the system by solving equations
There will be a strong emphasis on understanding how physical processes are described by mathematical equations.
Course Policies
Supportive Class Environment
All members of this class (instructors, TAs, students) are expected to contribute to a respectful, inclusive, and supportive environment for every other member of the class.
We are all partners in your education; help us help you get the most out of this class. Please engage during class meetings.
Honor Code
You are encouraged to discuss the material with the instructor, course assistants, and your classmates, but you are not allowed to copy answers or code or share your answers or code with others. Anyone copying answers or code, or providing answers or code, or becoming aware of others doing so without reporting to the instructor, is in violation of the honor code.
Academic Support and Learning Advancement (ASLA)
Northwestern's Academic Support and Learning Advancement office offers peer-guided study groups, drop-in peer tutoring, individual and group peer academic coaching, and consultations to help students navigate their academic paths and refine their study strategies.
Grading
Three quizzes count for 90% of your class grade. Homeworks account for the remaining 10%. Each quiz is in class (50 minutes). Students must attend the quiz in their own section, and the quizzes in each section will be different. Grades are assigned in each section independently of the other sections. There is no final exam during finals week.
Homework
Assignments must be submitted electronically through Canvas. Late assignments are not accepted. No exceptions, so please don't ask. Your lowest homework grade will be dropped from the calculation of your homework score.
Syllabus and Web Textbook
General Introduction
- The Big Picture: the EA3 three-step process, and what you will learn
Mechanical Systems
- Mechanical systems: assumptions, parameters vs. dynamic variables, dampers, across and through variables, constitutive law of the damper
- Springs: constitutive law, displacement and relaxed length, sign conventions, series and parallel
- Example: which are springs?
- Formulating equations of motion for spring-damper systems: step 1a) force balance at connections; step 1b) geometric continuity; elements in parallel and series; step 1c) constitutive laws; step 2 forming differential equations of motion
- Step 3 solving equations of motion
- Masses: free body diagrams and force balance, sign convention, step 1 governing equations, step 2 state variables and state equations
- Newtonian mechanics
- System dynamics and momentum conservation
- Momentum impulse example
- Conservation of momentum projectile example
- Impact and cars colliding example
- https://othello.mech.northwestern.edu/ea3/book/energy/Energy.htm System dynamics and mechanical energy equation]
- Principle of work and energy
- Mechanical energy equation example 1, 2, 3, 4
- Energy stored in springs and dissipated in dampers: bungee jumper example
- Transformers
- Numerical solution of coupled differential equations
- Analytic solution of coupled differential equations
Electrical Systems
- Introduction
- Resistors
- Capacitors
- Formulating equatios for circuits
- Simple RC circuits
- Complex RC circuits
- Inductors
- Circuits with inductors
Reference
- Important concepts and formulas
- Famous scientists
- Mode analysis
- Example 1
- Example 2
- Example 3