Physical Modeling Approaches
A Simple Physical Model
Another Simple Physical Model
When discussing modal synthesis, we saw that the mass-spring-damper system illustrated in Fig.
can be described by the differential equation
An ideal mass-spring-damper system.
Using a simple discrete-time approximation to a derivative of the form
is the sample period, we can derive a discrete-time version of the above equation given by
The Matlab script
implements this difference equation to produce a simulated mass motion as plotted in Fig.
Simulated motion of a series mass-spring-damper system using a finite difference approximation.
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Gary P. Scavone