To simulate a double pendulum in MATLAB, we need to solve the equations of motion using numerical integration. The equations of motion can be derived using Lagrangian mechanics.
Here's an example code that simulates a double pendulum:
main.m1602 chars51 lines
Here, we first define the parameters of the system, namely the gravitational acceleration g
, the lengths of the two pendulums L1
and L2
, and their masses m1
and m2
.
Next, we define the initial conditions for the two pendulums, namely their initial angles and angular velocities.
We then simulate the system using the ODE solver ode45
, which takes in the ODE function double_pendulum_odefun
, the initial conditions y0
, and the time interval tspan
.
Finally, we plot the positions of the two pendulums over time using the plot
function.
The double_pendulum_odefun
function computes the derivatives of the state variables at a given time t
, given the current state y
and the system parameters.
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