C.R.A.W.LAB

Lectures

• January 14 Slides, Notes, Audio
• January 19 Notes, Audio
• January 21 Notes, Audio
• January 26 Notes, Audio
• January 28 Notes, Audio
• February 2 Notes, Audio
• February 4 Notes, Audio
• February 11 Notes, Audio
• February 16 Notes, Audio
• February 18 Notes, Audio
• February 25 Notes, Audio
• March 3, 8, 10
  • System Identification Notes
    • Time Domain Methods
    • Frequency Domain Methods
  • Fourier Analysis
  • State-Space Form Notes, Video
  • Introduction to the FFT
• March 15 Notes, Audio
• March 17 Notes, Audio
• March 22 Notes, Audio
• March 24 Notes (same as 3/22), Audio
• April 5 Notes, Audio
• April 12 Notes, Slides, Audio
• April 14 Notes, Audio
• April 19 Notes, Audio
• April 21 Notes, Audio
• April 26 Notes, Audio

Homework

• Prereq Form
• Homework 1 Solutions
• Homework 2 Solutions
• Homework 3 Solutions
• Homework 4 Solutions
• Homework 5 Solutions
• Homework 6 Solutions, Jupyter Notebook
• Homework 7 Solutions, Jupyter Notebook

Mini-Projects

Mini-Project 1

• Assignment
• Teams
• Jupyter Notebook
• Data — zip or GitHub

Report Template

• LaTeX source
• pdf
• Open Template at Overleaf.com

Lectures

• Step Responses
• Harmonic, Seismic Inputs
• Harmonic, Direct Force Inputs
• Time Domain System ID
• Frequency Domain System ID
• Writing Equations in State-space Form
• Fourier Expansion of a Square Wave
• Fourier Expansion of a Triangle Wave

Worked Problems

Sp13 HW 1, Problem 2 Solution
Problem 1.30 Solution
Problem 1.77 Solution
Problem 1.104 Solution
Problem 1.105 Solution
Problem 2.40 Solution
Problem 2.57 Solution
Problem 4.2 Modeling
Problem 4.8 Modeling

Core Topics

• Introduction
• Free Vibration
• Interactive Free Vibration
• Step Inputs
• Mass-spring-damper with a Force Pulse
• Pendulum with a Pure Torque Pulse
• Undamped Seismic Harmonic Inputs
• Undamped Direct-Force Harmonic Inputs
• Transfer Function Introduction
• Force Inputs with Damping
• Seismic Inputs with Damping
• Rotating Imbalance
• Dry Friction
• Mass-Spring-Damper with Multiple Inputs
• Fourier Analysis
• Interactive Fourier Analysis
• Symbolic Fourier Analysis
• Introduction to the FFT
• Interactive FFT
• Eigenvalues/Eigenvectors
• Vibration Absorbers
• Multi-DOF Example
• "Zeros" in a Forced Response
• Modal Damping Approximation

Problem Solutions

• Mid-Term 1
• HW 6 Numerical Fourier Analysis
• Mid-Term 2
• Homework 7
• Final Exam

Extra Problems

• Fourier Analysis

Vibrations

• Schaum’s Outlines - Mechanical Vibrations
• Some example problems/solutions
• Mechanical Vibrations - J.P. Den Hartog
• Elements of Vibration Analysis - Leonard Meriovitch
• Vibration Problems in Engineering - S. Timoshenko
• Engineering Vibration - Daniel Inman
• Mechanical and Structural Vibrations: Theory and Applications - Jerry Ginsberg
• Mechanical Vibrations - Singiresu Rao

Differential Equations

• Khan Academy on iTunes U
• Khan Academy course
• MIT lecture on iTunes U
• MIT recitation section
• Community College Diff Eq course
• Paul's Online Math Notes
• S.O.S Mathematics

Python Related

• Continuum Analytics
• Python Scientific Lecture Notes
• Great IPython Book
• ‎IPython Notebook Viewer
• IPython Notebooks Gallery
• Wakari Login, Example Gallery
• Matplotlib Tutorial
• NumPy for MATLAB users
• Learn X in Y Minutes — Python