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Introduction
Let’s talk about energy
Generalities about coordinate systems
Degrees of freedom of a system
Excitation in vibratory systems
Equation of Motion as a description of the system’s behavior
Installing the software Octave
Undamped Single Degree Of Freedom Vibration
Spring Coefficient
Natural Frequencies
State Variables
Amplitude and Phase
Harmonic Motion
Damped Single Degree Of Freedom Vibration
Damping
Damped Harmonic Motion
Estimating Damping
Damping from Measurements
Damping from measurement Part 2: Half Power Points
Creating the Equation of Motion of a Dynamical System
Newton’s Method
Lagrange’s Equation Method
Numerical Time Integration of an Equation of Motion
Time Integration schemes of an equation of motion
