# Vibration and Waves

**Supplement: Vibration and waves**

A.1 Oscillations vs. waves A-1-vibrations-&-waves

A.1.1 Forced oscillations

A.1.2 Free oscillations

A.1.3 Forced waves

A.1.4 Free waves

A.1.5 Standing waves

A.2 Longitudinal waves A-2-longitudinal-waves

A.2.1 Pure longitudinal waves

A.2.2 Dilatational waves in strings

A.3 Transversal waves A-3-transverse-waves

A.3.1 Pure transversal waves

A.3.2 Transversal waves in strings

A.4 Bending waves A-4-flexural-waves

A.4.1 Bars under zero tension, pure bending waves

A.4.2 Vibrations of a stiff string

A.4.3 Eigenmodes of bending waves

A.5 Wave resistance A-5-wave-impedance

A.6 Stiffness A-6-stiffness

A.7 Impulses A-7-impulses

A.8 The Ultimate end: cryo… A-8-unltimate-end-with-cryo-schlock