Further examples of harmonic oscillation

[Analog_Engine.git] / scripts / Superposition of oscillations.LACE

# Superposition of the oscillation of two undamped harmonic oscillators
# x1'' = -omega1^2*x1
# x2'' = -omega2^2*x2

coefficient.1(-1) -> -x10 # amplitude of 1
coefficient.2     -> omega1^2
coefficient.5(-1) -> -x20 # amplitude of 2
coefficient.6     -> omega2^2

# 1st oscillator
iintegrate x1'' -> -x1'
iintegrate -x1' -> x1
  IC: -x10
cmultiply x1, omega1^2 -> omega1^2*x1
invert omega1^2*x1 -> -omega1^2*x1
assign -omega1^2*x1 -> x1''
output x1 -> out.x

# 2nd oscillator
iintegrate x2'' -> -x2'
iintegrate -x2' -> x2
  IC: -x20
cmultiply x2, omega2^2 -> omega2^2*x2
invert omega2^2*x2 -> -omega2^2*x2
assign -omega2^2*x2 -> x2''
output x2 -> out.y

# Sum
isum x1, x2 -> -(x1+x2)
invert -(x1+x2) -> x1+x2
output x1+x2 -> out.z