An analytical model of a wood-cutting circular saw blade is developed for t
he purpose of understanding the mechanics of a lateral vibration instabilit
y known as washboarding. The governing equation developed contains inertial
, gyroscopic and stiffness terms based upon the saw plate characteristics w
ith the cutting forces being represented by the product of a time-dependent
periodic function and the lateral displacement of the saw tooth. A stabili
ty analysis of the system is shown to produce predictions that are consiste
nt with experimental data. (C) 2001 Academic Press.