C.R.A.W.LAB

Lectures

Note: Section numbers in these notes are from Principles of Vibration by Benson Tongue.

Covered by Dr. Elsayed

• January 17, 2019
  • Introduction Notes, Audio
  • Dynamics Review Notes, Audio
• January 22 Notes, Audio
• January 24, 2019 Notes, Audio
• January 29, 2019 Notes, Audio
• January 31, 2019 Notes, Audio
• February 5, 2019 Notes
• February 7, 2019 Notes, Audio
• February 12, 2019 Notes, Audio
• February 14, 2019 Notes, Audio
• February 1, 2019 Notes, Audio
• February 21, 2019 Notes, Audio
• February 26, 2019 Notes, Audio
• March 7, 2019 Notes, Audio
• March 12, 2019 Notes

Covered by Dr. Vaughan

• April 7 Video, Notes, Audio
• April 9
  • Forced Multi-DOF Vib. Video, Notes, Audio
  • Vibration Absorbers Notes, Audio
• April 21
  • "Zeros" in a Forced Resp Notes, Audio
  • State-Space Form Video, Notes, Audio
• April 23
  • Decoupling and Eigenvector Orthogonality Notes, Audio
  • Multi-DOF Damping Notes, Audio
  • Repeated and Zero Eigenvalues Notes, Audio
• April 28
  • Zoom Live Session Video, Notes
  • Double-pendulum Model with Lagrange's Method
  • Multi-DOF Example Problems
• April 30 Video
• May 2 Video

Homework

From Spring 2019

• Homework 1 Solutions
• Homework 2 Solutions
• Homework 3 Partial Solutions
• Homework 4 Solutions

For Spring 2020

• System Identification Review Solutions
• Multi-DOF Practice Problem Solutions

Mini-Projects

None for Spring 2020 semester

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
• Fourier Expansion of a Square Wave
• Fourier Expansion of a Triangle Wave
• Writing Equations in State-space Form
• Multi-DOF Modes and Mode Shapes (Undamped)
• Forced Respones for Undamped, Multi-DOF Systems

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

• Coming Soon…

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
• ‎Jupyter Notebook Viewer
• IPython Notebooks Gallery
• Matplotlib Tutorial
• NumPy for MATLAB users
• Learn X in Y Minutes — Python