Page 15 - Vibrations

As you add an infinite number of harmonics you will get a

perfect square wave.

As you can see with 9 harmonics the square shape is

taking place.

The size of the harmonics are calculated from the

following,

1
= ∫ ()
0
−

1
= ∫ () cos()

−

1
= ∫ () sin()

−

When you look into this series, you will see odd functions

and even functions and this makes the calculations easier.

Timbre is the name given

to a particular sound.

From the timbre and

experienced listener can

determine if a machine

has a problem. In the

days of steam, there was

a wheel tapper who would tap the wheels to find out if

there cracks in the wheels (more later).

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