Let's take the series case:

Then the Laplace transform of the force on the mass after time 0 is given, using the ``voltage divider'' formula, by

Define .

The mass *velocity* Laplace transform is then

Thus, the impulse response of the mass oscillates sinusoidally with

- radian frequency
- amplitude
- velocity at a maximum at time
- momentum = 1

Download OnePorts.pdf

Download OnePorts_2up.pdf

Download OnePorts_4up.pdf

Visit the online book containing this material.

Copyright ©

Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

[Automatic-links disclaimer]