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'''EA3 System Dynamics, Spring Quarter 2023'''
'''EA3 System Dynamics, Spring Quarter 2023'''

Website: [https://tinyurl.com/ea3nu tinyurl.com/ea3nu]


==Instructors, TAs, and Sections==
==Instructors, TAs, and Sections==


* Section 21, 10-10:50 MWF, Tech M345: Prof. Kevin Lynch, kmlynch@northwestern.edu. Tuesday: Tech M345.
* Section 21, 10-10:50 MWF, Tech M345; Tuesday, Tech M345
* Section 20, 11-11:50 MWF, Pancoe Auditorium: Prof. Jeremy Keys, jeremy.keys@northwestern.edu. Tuesday: Frances Searle 1421.
** Instructor: Prof. Kevin Lynch, kmlynch@northwestern.edu
** TAs:
* 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.
* Section 20, 11-11:50 MWF, Pancoe Auditorium; Tuesday, Frances Searle 1421
** Instructor: Prof. Jeremy Keys, jeremy.keys@northwestern.edu
** TAs:
* Section 23, 1-1:50 MWF, Pancoe Auditorium; Tuesday, Annenberg G15
** Instructor: Prof. Cheng Sun, c-sun@northwestern.edu
** TAs:
* Section 22, 2-2:50 MWF, Pancoe Auditorium; Tuesday, Tech L211.
** Instructor: Prof. Sandip Ghosal, s-ghosal@northwestern.edu
** TAs:

[[image:EA3-instructors2-s2023.jpg|400px]]


TAs:
TAs:

[[image:EA3-TAs2-s2023.jpg|500px]]

* Ayesha Ahmed, ayesha.ahmed1@northwestern.edu
* Ayesha Ahmed, ayesha.ahmed1@northwestern.edu
* Caralyn Collins, CaralynCollins2024@u.northwestern.edu
* Caralyn Collins, CaralynCollins2024@u.northwestern.edu
Line 15: Line 30:
* Haklae Lee, haklae.lee@northwestern.edu
* Haklae Lee, haklae.lee@northwestern.edu
* Rui Li, ruili2024@u.northwestern.edu
* Rui Li, ruili2024@u.northwestern.edu
* Asma Meem, asma.meem@northwestern.edu
* Asma Meem, asmameem2026@u.northwestern.edu
* Nibir Pathak, NibirPathak2021@u.northwestern.edu
* Nibir Pathak, NibirPathak2021@u.northwestern.edu
* Dono Toussaint, DonoToussaint2027@u.northwestern.edu
* Dono Toussaint, DonoToussaint2027@u.northwestern.edu
Line 62: Line 77:


===Mechanical Systems===
===Mechanical Systems===
* [https://othello.mech.northwestern.edu/ea3/book/mech1/Dampers.htm Mechanical systems]: assumptions, parameters vs. dynamic variables, dampers, across and through variables, constitutive law of the damper
* [https://othello.mech.northwestern.edu/ea3/book/mech1/Dampers.htm '''Mechanical systems and dampers''']: assumptions, parameters vs. dynamic variables, dampers, across and through variables, constitutive law of the damper
* [https://othello.mech.northwestern.edu/ea3/book/mech2/Springs.html Springs]: constitutive law, displacement and relaxed length, sign conventions, series and parallel
* [https://othello.mech.northwestern.edu/ea3/book/mech2/Springs.html '''Springs''']: constitutive law, displacement and relaxed length, sign conventions, series and parallel
** [https://othello.mech.northwestern.edu/ea3/book/mech2/Example1.htm Example]: which are springs?
** [https://othello.mech.northwestern.edu/ea3/book/mech2/Example1.htm Example]: which are springs?
** [https://othello.mech.northwestern.edu/ea3/book/examples/1a.htm Example]: total stiffness of a system
* [https://othello.mech.northwestern.edu/ea3/book/mech3/Connections.htm 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
* [https://othello.mech.northwestern.edu/ea3/book/mech3/Connections.htm '''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
** Example [https://othello.mech.northwestern.edu/ea3/book/mech3/Example1.htm 1], [https://othello.mech.northwestern.edu/ea3/book/mech3/Example2.htm 2], [https://othello.mech.northwestern.edu/ea3/book/mech3/Example3.htm 3], [https://othello.mech.northwestern.edu/ea3/book/mech3/Example4.htm 4], [https://othello.mech.northwestern.edu/ea3/book/mech3/Example5.htm 5], [https://othello.mech.northwestern.edu/ea3/book/mech3/Example6.htm 6], [https://othello.mech.northwestern.edu/ea3/book/mech3/Example7.htm 7], [https://othello.mech.northwestern.edu/ea3/book/mech3/Example8.htm 8]
* [https://othello.mech.northwestern.edu/ea3/book/diffeq1/Diffeq1.htm Step 3 solving equations of motion]
** Examples: step 1a) force balance at connections [https://othello.mech.northwestern.edu/ea3/book/mech3/Example1.htm example 1], [https://othello.mech.northwestern.edu/ea3/book/mech3/Example2.htm example 2]
** Examples: step 1b) geometric continuity [https://othello.mech.northwestern.edu/ea3/book/mech3/Example3.htm example 3], [https://othello.mech.northwestern.edu/ea3/book/mech3/Example4.htm example 4]
** Examples: elements in parallel and series [https://othello.mech.northwestern.edu/ea3/book/mech3/Example5.htm example 5], [https://othello.mech.northwestern.edu/ea3/book/mech3/Example6.htm example 6]
** Examples: forming differential equations of motion [https://othello.mech.northwestern.edu/ea3/book/mech3/Example7.htm example 7], [https://othello.mech.northwestern.edu/ea3/book/mech3/Example8.htm example 8]
* [https://othello.mech.northwestern.edu/ea3/book/diffeq1/Diffeq1.htm '''Step 3 solving equations of motion''']
** Examples: [https://othello.mech.northwestern.edu/ea3/book/diffeq1/Example1.htm time evolution], [https://othello.mech.northwestern.edu/ea3/book/diffeq1/Example2.htm initial conditions], [https://othello.mech.northwestern.edu/ea3/book/diffeq1/Example3.htm forward Euler method], [https://othello.mech.northwestern.edu/ea3/book/diffeq1/Example4.htm analytical solutions]
** Examples: [https://othello.mech.northwestern.edu/ea3/book/diffeq1/Example1.htm time evolution], [https://othello.mech.northwestern.edu/ea3/book/diffeq1/Example2.htm initial conditions], [https://othello.mech.northwestern.edu/ea3/book/diffeq1/Example3.htm forward Euler method], [https://othello.mech.northwestern.edu/ea3/book/diffeq1/Example4.htm analytical solutions]
* [https://othello.mech.northwestern.edu/ea3/book/mech4/Masses.htm Masses]: free body diagrams and force balance, sign convention, step 1 governing equations, step 2 state variables and state equations
** [https://othello.mech.northwestern.edu/ea3/book/diffeq4/Diffeq4.htm Better numerical algorithms for differential equations]
* [https://othello.mech.northwestern.edu/ea3/book/mech4/Masses.htm '''Masses''']: free body diagrams and force balance, sign convention, step 1 governing equations, step 2 state variables and state equations, obtaining state equations
** Example [https://othello.mech.northwestern.edu/ea3/book/mech4/Example1.htm 1], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example2.htm 2], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example3.htm 3], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example4.htm 4], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example5.htm 5], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example6.htm 6], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example7.htm 7], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example8.htm 8], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example9.htm 9], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example10.htm 10]
** Example: [https://othello.mech.northwestern.edu/ea3/book/mech4/Example1.htm free body diagram and force balance]
* Newtonian mechanics
** Example: [https://othello.mech.northwestern.edu/ea3/book/mech4/Example2.htm sign conventions]
* System dynamics and momentum conservation
** Obtaining state equations: [https://othello.mech.northwestern.edu/ea3/book/mech4/Example3.htm example 3], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example4.htm example 4], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example5.htm example 5], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example6.htm example 6], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example7.htm example 7], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example8.htm example 8], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example9.htm example 9], [https://othello.mech.northwestern.edu/ea3/book/mech4/Example10.htm example 10]
* System dynamics and mechanical energy equation
* [https://othello.mech.northwestern.edu/ea3/book/newton/Newton.htm '''Newtonian mechanics''']: Newton's laws: Newton's laws, velocity and acceleration, center of mass, friction
* Transformers
** Newton's laws [https://othello.mech.northwestern.edu/ea3/book/newton/Example1.htm example 1], [https://othello.mech.northwestern.edu/ea3/book/newton/Example2.htm example 2], [https://othello.mech.northwestern.edu/ea3/book/newton/Example3.htm example 3]
* Numerical solution of coupled differential equations
** Velocity and acceleration [https://othello.mech.northwestern.edu/ea3/book/newton/Example4.htm example 4], [https://othello.mech.northwestern.edu/ea3/book/newton/Example5.htm example 5], [https://othello.mech.northwestern.edu/ea3/book/newton/Example6.htm example 6]
* Analytic solution of coupled differential equations
** Friction [https://othello.mech.northwestern.edu/ea3/book/newton/Example8.htm example 8], [https://othello.mech.northwestern.edu/ea3/book/newton/Example9.htm example 9], [https://othello.mech.northwestern.edu/ea3/book/newton/Example10.htm example 10], [https://othello.mech.northwestern.edu/ea3/book/newton/Example11.htm example 11]
* [https://othello.mech.northwestern.edu/ea3/book/momentum/Momentum.htm '''System dynamics and momentum conservation''']: momentum and impulse, conservation of momentum, impacts
** Momentum and impulse [https://othello.mech.northwestern.edu/ea3/book/momentum/Impulse.htm example]
** Conservation of momentum [https://othello.mech.northwestern.edu/ea3/book/momentum/Projectile.htm projectile example]
** Impacts: [https://othello.mech.northwestern.edu/ea3/book/momentum/Collision.htm 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, energy stored in springs and dissipated in dampers
** Mechanical energy equation [https://othello.mech.northwestern.edu/ea3/book/energy/Block.htm example 1], [https://othello.mech.northwestern.edu/ea3/book/energy/Energy.htm#springs example 2], [https://othello.mech.northwestern.edu/ea3/book/energy/Springs.htm example 3], [https://othello.mech.northwestern.edu/ea3/book/energy/Energy.htm#enmomapplications example 4]
** Energy stored in springs and dissipated in dampers: [https://othello.mech.northwestern.edu/ea3/book/energy/Energy.htm#Bungee bungee jumper example]
* [https://othello.mech.northwestern.edu/ea3/book/mech6/Mech6.htm '''Transformers''']: levers, work, and power
** Levers [https://othello.mech.northwestern.edu/ea3/book/mech6/Example1.htm example 1], [https://othello.mech.northwestern.edu/ea3/book/mech6/Example2.htm example 2], [https://othello.mech.northwestern.edu/ea3/book/mech6/Example3.htm example 3]
* [https://othello.mech.northwestern.edu/ea3/book/diffeq3/Diffeq3.htm '''Step 3 numerical solution of coupled differential equations''']: state variables vs. parameters, initial conditions, evolution of spring-mass systems, forward Euler (non-matrix form), forward Euler (matrix form), MATLAB code
** [https://othello.mech.northwestern.edu/ea3/book/diffeq3/ParVariables.htm Example]: counting state variables
** [https://othello.mech.northwestern.edu/ea3/book/diffeq3/StateEq.htm Example]: finding state equations
* [https://othello.mech.northwestern.edu/ea3/book/diffeq3/Diffeq3.htm#analytic '''Step 3 (cont.) analytic solution of coupled differential equations''']: analytic solutions, natural vibrations with damping, forced vibrations with no damping, free fall, complex numbers, superposition of solutions
** [https://othello.mech.northwestern.edu/ea3/book/diffeq3/Complex.htm Example]: complex numbers
** [https://othello.mech.northwestern.edu/ea3/book/diffeq3/Superpos.htm Example]: superposition


===Electrical Systems===
===Electrical Systems===
* [https://othello.mech.northwestern.edu/ea3/book/elec1_2007/Volt.htm '''Introduction''']: voltage and current, charge and current, voltage and potential, power source: batteries
* Introduction
* [https://othello.mech.northwestern.edu/ea3/book/elec2_2007/Resistors.htm '''Resistors''']: constitutive law (Ohm's law), meter polarities, power, Kirchoff's laws
* Resistors
** [https://othello.mech.northwestern.edu/ea3/book/elec2_2007/Example1.htm Examples]
* Capacitors
* [https://othello.mech.northwestern.edu/ea3/book/elec4/Capacitors.htm '''Capacitors''']: charge, capacitance, and energy
* Formulating equatios for circuits
* [https://othello.mech.northwestern.edu/ea3/book/elec6/Circuit.htm'''Formulating equations for circuits''']: circuit diagram notation, Kirchoff's laws, step 1 equations, step 2 state variables and equations
* Simple RC circuits
** Kirchoff's laws [https://othello.mech.northwestern.edu/ea3/book/elec6/Example1.htm example 1], [https://othello.mech.northwestern.edu/ea3/book/elec6/Example2.htm example 2]
* Complex RC circuits
** [https://othello.mech.northwestern.edu/ea3/book/elec6/Example3.htm Example]: state variables and equations
* Inductors
* [https://othello.mech.northwestern.edu/ea3/book/elec5/RC.htm '''Simple RC circuits''']: RC time constant, charging up a capacitor
* Circuits with inductors
** [https://othello.mech.northwestern.edu/ea3/book/elec5/Example1.htm Example]: RC time constant
* [https://othello.mech.northwestern.edu/ea3/book/elec7/Equations.htm '''Complex RC circuits''']
** [https://othello.mech.northwestern.edu/ea3/book/elec7/Example1.htm Example 1], [https://othello.mech.northwestern.edu/ea3/book/elec7/Example2.htm example 2], [https://othello.mech.northwestern.edu/ea3/book/elec7/Example3.htm example 3]
* [https://othello.mech.northwestern.edu/ea3/book/elec8/Inductors.htm '''Inductors'''] (applet broken)
* [https://othello.mech.northwestern.edu/ea3/book/elec9/Lcircuits.htm '''Circuits with inductors''']
** [https://othello.mech.northwestern.edu/ea3/book/elec9/Example1.htm Example]: simple circuit with an inductor
** [https://othello.mech.northwestern.edu/ea3/book/elec9/Example2.htm Example]: LC circuit and natural frequency


'''Reference'''
===Reference===
* Important concepts and formulas
* [https://othello.mech.northwestern.edu/ea3/book/summary/formulas.html '''Important concepts and formulas''']
* [https://othello.mech.northwestern.edu/ea3/book/summary/scientists.html '''Famous scientists''']
* Famous scientists
* Mode analysis
* '''Mode analysis'''
** Example 1
** Example 1
** Example 2
** Example 2

Revision as of 12:12, 21 March 2023

EA3 System Dynamics, Spring Quarter 2023

Website: tinyurl.com/ea3nu

Instructors, TAs, and Sections

  • Section 21, 10-10:50 MWF, Tech M345; Tuesday, Tech M345
    • Instructor: Prof. Kevin Lynch, kmlynch@northwestern.edu
    • TAs:
  • Section 20, 11-11:50 MWF, Pancoe Auditorium; Tuesday, Frances Searle 1421
    • Instructor: Prof. Jeremy Keys, jeremy.keys@northwestern.edu
    • TAs:
  • Section 23, 1-1:50 MWF, Pancoe Auditorium; Tuesday, Annenberg G15
    • Instructor: Prof. Cheng Sun, c-sun@northwestern.edu
    • TAs:
  • Section 22, 2-2:50 MWF, Pancoe Auditorium; Tuesday, Tech L211.
    • Instructor: Prof. Sandip Ghosal, s-ghosal@northwestern.edu
    • TAs:

EA3-instructors2-s2023.jpg

TAs:

EA3-TAs2-s2023.jpg

  • 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, asmameem2026@u.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

Mechanical Systems

Electrical Systems

Reference