Mass-Spring-Damper-Python-Demo
This code solves for the response of a dDamped mass and spring system under a sinusoidal input. The example it solves can be found at https://www.crcpress.com/downloads/K11527/MATLAB%20Resources.pdf
System mode: Mass connected to a rigid ground via a spring and damper, the force input is fo*sin(wt)
Turning this into state space gives q_dot= Aq+Bu y=Cq+Du
k = 100newtons/meters m = 1kg damping_ratio = 0.1 omega_n = np.sqrt(k/m) c = zeta2np.sqrt(m*k)
A = [[0, 1], [-k/m, -c/m]]
B = [[0], [1]]
C = [[1, 0]] This will choose displacement as our output
D = 0