🎯 Modeling and Simulation of a Double Pendulum (2DOF) Using Lagrange's Equation in MATLAB
📘 Product Description:
Simulate and analyze the complex dynamics of a double pendulum system (2 Degrees of Freedom) using the Lagrangian formulation in MATLAB. This project provides a clear demonstration of nonlinear motion and chaotic behavior — making it ideal for students, researchers, and engineers exploring classical mechanics, control systems, or dynamic modeling.
Built entirely in MATLAB, this simulation helps you understand how to derive and solve Euler-Lagrange equations, visualize motion, and study system energy behavior over time.
📦 What’s Included:
✅ Fully coded MATLAB script (.m)
✅ Detailed modeling using Lagrange’s equations
✅ Symbolic derivation and equation generation
✅ ODE45-based numerical simulation
✅ Animated motion of both pendulum links
✅ Time plots for angular position and velocity
✅ Clean, readable, and customizable code
✅ PPT documentation
💡 Learning Highlights:
- Understand nonlinear dynamics in multibody systems
- Derive equations using energy-based modeling
- Apply Euler-Lagrange formulation in MATLAB
- Simulate and animate chaotic motion
- Analyze energy conservation and motion characteristics
🧑🎓 Perfect For:
- Mechanical & control engineering students
- Researchers in dynamics and systems modeling
- Educators teaching physics, robotics, or Lagrangian mechanics
- Anyone interested in simulating pendulum systems
📧 Need help or want customization?
Email: mregnineer294@gmail.com
📲 Follow for more:
📷 Instagram: @engrprogrammer2494
▶️ YouTube: @engrprogrammer
Thanks again for your support — happy simulating!
— engrprogrammer 🚀
