Double Pendulum System Modeling, Simulation & Animation in MATLAB Simulink Simscape

This project demonstrates the modeling, simulation, and animation of a Double Pendulum System using MATLAB Simulink & Simscape Multibody. The double pendulum is a classic example of a nonlinear dynamic system, widely studied in mechanical engineering, robotics, and control system design.

The project covers:

✔️ Building the double pendulum structure in Simscape Multibody

✔️ Defining links, joints, gravity, and motion constraints

✔️ Running time-domain simulations for different initial conditions

✔️ Visualizing pendulum dynamics through 3D animation

✔️ Extracting simulation data (angles, angular velocity, energy plots)

✔️ Studying the chaotic behavior of the pendulum

🎯 Learning Outcomes

After working with this project, you will:

✔️Understand nonlinear dynamic systems and chaotic motion.

✔️Learn how to model multibody mechanical systems in Simscape.

✔️Gain hands-on experience with MATLAB Simulink animations.

✔️Be able to modify and extend the system for control system design (PID, LQR, etc.).

📂 Project Deliverables

You will get:

✅ Complete MATLAB Simulink Model (.slx)

✅ Simscape Multibody setup with pendulum links & joints

✅ Animation model to visualize pendulum motion in real-time

✅ MATLAB scripts for data analysis & plotting

✅ Documentation / ReadMe file with step-by-step instructions

🛠️ Software & Tools Required

MATLAB 2020 or later (Simulink + Simscape Multibody)

Basic knowledge of dynamics & MATLAB Simulink

🌍 Applications

🎓 Academic Projects & Research (Dynamics, Nonlinear Systems, Chaos Theory)

🤖 Robotics & Control Engineering (balancing problems, stabilizers)

⚙️ Mechanical System Analysis (vibration, oscillation studies)

📚 Teaching & Learning (visualization of nonlinear dynamics)

🎥 Demo Preview

Includes realistic animation of double pendulum motion with chaotic trajectory visualization.

💡 Customization Options

We also provide:

🔹 Adding controllers (PID, LQR, MPC) for stabilization

🔹 Exporting simulation data for further analysis in Python / MATLAB

🔹 Extending the model to triple pendulum or cart-pendulum systems