Modulated

The Modulated amplitude defines the following functions.

\[ A(t)=A_0\Pi_{i=1}^{n}\sin(2\pi\omega_i{}(t-t_0))\quad\text{for}\quad{}t>t_0. \]

In the above definition, \(t_0\) is the (pseudo) start time of the step in which the amplitude is defined, \(\omega_i\) is the circular frequency.

Syntax

amplitude Modulated (1) (2) (3) [(4)...]
# (1) int, unique tag
# (2) double, base amplitude A_0
# (3) double, first frequency \omega_0
# [(4)...] double, optional frequencies for higher modes