Applications: Longitudinal oscillating chains; PDEs

[Analog_Engine.git] / scripts / TP1 10.29 Two masses fixed to walls.LACE

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+# TP1 10.29 Two Masses fixed to walls
+# Two equal masses m are connected to each other by a spring (spring constant D) and on either side to a fixed wall.
+
+# m*s1'' + 2D*s1 - D*s2 = 0 => s1'' = -D/m*s1 -D/m*s1 + D/m*s2
+# m*s2'' + 2D*s1 - D*s1 = 0 => s2'' = -D/m*s2 -D/m*s2 + D/m*s1
+
+coefficient(1): D/m_1 # D/m for s1
+coefficient(2): D/m_2 # D/m for s2, identical to D/m_1
+coefficient(3): -1 -> -s1_0 # initial position of s1
+coefficient(4): -1 -> -s2_0 # initial position of s2
+
+iintegrate -D/m*s1, -D/m*s1, D/m*s2 -> -s1' # input is s1''
+iintegrate -s1' -> s1
+   IC: -s1_0
+s1 * D/m_1 -> D/m*s1
+invert D/m*s1 -> -D/m*s1
+
+iintegrate -D/m*s2, -D/m*s2, D/m*s1 -> -s2' # input is s2''
+iintegrate -s2' -> s2
+   IC: -s2_0
+s2 * D/m_2 -> D/m*s2
+invert D/m*s2 -> -D/m*s2
+
+output(x): s1
+output(y): s2