Spring Pendulum Simulation using Lagrangian Mechanics in MATLAB | Modeling + Animation + Plotting
📦 Description:
This project presents a complete dynamic modeling and simulation of a Spring Pendulum system using Lagrange’s equations in MATLAB. From system derivation to graphical animation, this simulation allows you to visualize both the motion and angular displacement of the pendulum suspended on a spring.
Perfect for engineering students, control system learners, and anyone exploring dynamic simulations using energy-based modeling.
🎯 What's Included:
âś… Fully functional MATLAB Script (.m)
âś… Lagrangian equation modeling with derivations
âś… Real-time 2D animation of spring-pendulum motion
âś… Angular displacement vs time plotting
âś… Kinetic & potential energy visual representation
âś… Clean and fully-commented code
âś… Easy to edit and reuse for academic or research projects
đź“š Concepts Covered:
Spring-Pendulum system dynamics
Lagrangian mechanics (T – U)
Euler-Lagrange equation implementation
Real-time trajectory animation
MATLAB graphics and simulation techniques
📽️ Bonus:
Ideal for control system courses, physics projects, and simulation enthusiasts!
đź’¬ Need Help?
For queries, customization, or collaboration, feel free to contact:
📧 mregnineer294@gmail.com
đź”— Follow for More:
đź“· Instagram: @engrprogrammer2494
▶️ YouTube: @engrprogrammer
