projects / Analog_Engine.git / blame
| Commit | Line | Data |
|---|---|---|
| 56968557 P |
1 | # TP1 10.30 Linear Molecule |
| 2 | # In a linear molecule of symmetric construction of type A-B-A the atoms are harmonically coupled and are performing small oscillations around the equilibrium positions. | |
| 3 | ||
| 4 | # s1'' = -omega0^2*s1 + omega0^2*s2 | |
| 5 | # s2'' = -my (-omega0^2*s1 + omega0^2*s2 + omega0^2*s2 - omega0^2*s3) | |
| 6 | # s3'' = omega0^2*s2 - omega0^2*s3 | |
| 7 | ||
| 8 | # NB: all integrators have to run with 100 nF capacitance, i.e. SLOW mode | |
| 9 | ||
| 10 | coefficient(1): omega0^2_1 # omega0^2 for s1 | |
| 11 | coefficient(2): omega0^2_2 # omega0^2 for s2 # same as omega0^2_1 | |
| 12 | coefficient(3): omega0^2_3 # omega0^2 for s3 # same as omega0^2_1 | |
| 13 | coefficient(4): my | |
| 14 | coefficient(5): -1 -> -s1_0 # initial position of s1 | |
| 15 | coefficient(6): -1 -> -s3_0 # initial position of s3 | |
| 16 | # initial positon of s2, the central mass, is set to 0 | |
| 17 | ||
| 18 | iintegrate -omega0^2_1*s1, omega0^2_2*s2 -> -s1' # input is s1'' | |
| 19 | iintegrate -s1' -> s1 | |
| 20 | IC: -s1_0 | |
| 21 | invert s1 -> -s1 | |
| 22 | -s1 * omega0^2_1 -> -omega0^2_1*s1 | |
| 23 | ||
| 24 | iintegrate -my*bracket -> -s2' # input is s2'' | |
| 25 | # the following integrator has to be built up manually as THAT only has 5 integrators and we need 6 | |
| 26 | # iintegrate -s2' -> s2 | |
| 27 | openamp -s2' -> s2 | |
| 28 | loopback: capacitor(100nF) | |
| 29 | s2 * omega0^2_2 -> omega0^2_2*s2 | |
| 30 | isum -omega0^2_1*s1, omega0^2_2*s2, omega0^2_2*s2, -omega0^2_3*s3 -> -bracket | |
| 31 | -bracket * my -> -my*bracket | |
| 32 | ||
| 33 | iintegrate omega0^2_2*s2, -omega0^2_3*s3 -> -s3' # input is s3'' | |
| 34 | iintegrate -s3' -> s3 | |
| 35 | IC: -s3_0 | |
| 36 | invert s3 -> -s3 | |
| 37 | -s3 * omega0^2_3 -> -omega0^2_3*s3 | |
| 38 | ||
| 39 | output(x): s1 | |
| 40 | output(y): s2 | |
| 41 | output(z): s3 |