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Supporting materials

Harmonic synthesis

Harmonic analysis

Undamped free vibration of single degree of freedom (SDOF) systems

Damped free vibration of single degree of freedom (SDOF) systems

Undamped excited vibration of single degree of freedom (SDOF) systems

Damped excited vibration of single degree of freedom (SDOF) systems

Introduction to phase plane analysis

Dynamic system analysis on the phase plane

Affine transformations

Phase portrait in the neighborhood of a critical point

Stability of phase portrait

Undamped free vibration of multi degree of freedom (MDOF) systems

Undamped excited vibration of multi degree of freedom systems

Continuous systems - string

Continuous systems - rod

Damped free vibration of multi degree of freedom systems