
Suppose a harmonic oscillation that is damped by a force, which is magnitude
proportional to the velocity ^{1)}. This is called a free
damped harmonic oscillation. There are three possible situations, which are treated on
this page. strong dampingThe function is the product of an exponential function and a hyperbolic sine.
weak dampingThe function is the product of an exponential function and a sine.
semi weak dampingThe function is the product of an exponential function and a line.
notes 1) Differential equation: y'' + a y' + b y = 0 with y(0) = 0. Kuipers 1966 p.345. 