pendulum_elastic_ode_test

pendulum_elastic_ode_test, a MATLAB code which calls pendulum_elastic_ode(), which sets up the ordinary differential equations (ODE) that represent the behavior of a nonlinear elastic pendulum, with gravitational force G, spring constant K, unstretched length L, and mass M.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and Programs:

pendulum_elastic_ode, a MATLAB code which sets up the ordinary differential equations (ODE) that represent the behavior of a nonlinear elastic pendulum, with gravitational force G, spring constant K, unstretched length L, and mass M.

Source Code:

• pendulum_elastic_ode_test.m, calls all the tests.
• pendulum_elastic_ode_test.sh, runs all the tests.
• pendulum_elastic_ode_test.txt, the output file.

• midpoint.m, a midpoint ODE solver.
• pendulum_elastic_midpoint_energy.png, a plot of the energy of the nonlinear pendulum behavior over time.
• pendulum_elastic_midpoint_theta.png, a plot of the angular deflection over time.
• pendulum_elastic_midpoint_theta_phase.png, the theta phase plot.
• pendulum_elastic_midpoint_nu.png, a plot of the strain over time.
• pendulum_elastic_midpoint_nu_phase.png, the theta phase plot.

• pendulum_elastic_ode23_energy.png, a plot of the energy of the nonlinear pendulum behavior over time.
• pendulum_elastic_ode23_theta.png, a plot of the angular deflection over time.
• pendulum_elastic_ode23_theta_phase.png, the theta phase plot.
• pendulum_elastic_ode23_nu.png, a plot of the strain over time.
• pendulum_elastic_ode23_nu_phase.png, the theta phase plot.