📌 Project Description

This professional engineering project presents a complete dynamic modeling and simulation of a Coupled Spring–Pendulum System, developed in MATLAB with full theoretical derivation and visual validation.

The package includes MATLAB source codes, a detailed PDF covering equations and background theory, and a high-quality simulation video of the final system behavior—making it ideal for academic submissions, learning, and demonstrations.

🎯 What This Project Covers

✔ Full mathematical modeling of the coupled spring–pendulum system
✔ Step-by-step derivation of nonlinear equations of motion
✔ Implementation using MATLAB ODE solvers
✔ Clear explanation of system physics and coupling effects
✔ Accurate time-domain simulation results
✔ Professional visual validation through simulation video

📦 Deliverables (Included Files)

📁 MATLAB (.m) Codes
• Clean, well-commented, modular scripts
• Ready-to-run and easy to modify

📄 Technical PDF (Theory + Equations)
• System description and assumptions
• Complete mathematical derivation
• Governing equations and parameters
• Explanation of simulation methodology

🎥 Simulation Video
• Visual demonstration of system motion
• Final validated system response
• Ideal for presentations and viva/demo

🧠 Engineering Concepts Included

• System Dynamics
• Mechanical Vibrations
• Coupled Oscillatory Systems
• Nonlinear Dynamics
• Energy Transfer Mechanisms
• Numerical Methods in MATLAB

🧑‍🎓 Best Suited For

✅ Mechanical Engineering Students
✅ Dynamics & Vibrations Courses
✅ Final Year / Semester Projects
✅ MATLAB & Simulation Learners
✅ Researchers & Educators

🛠 Customization & Add-Ons (Optional)

✔ Add damping or external forcing
✔ Convert model to Simulink
✔ Include animation inside MATLAB
✔ Modify parameters for your project
✔ Prepare formatted academic report

📩 Contact before purchase for custom requests.

🚀 Why This Project Stands Out

⭐ Complete theory + code + visualization package
⭐ Saves significant modeling & derivation time
⭐ Academic-ready and presentation-friendly
⭐ Clean, professional engineering work
⭐ Easy to understand and extend

💻 Software Requirements

• MATLAB R2018 or newer (recommended)

📜 License & Usage

✔ Personal & academic use permitted
❌ Redistribution or resale not allowed