Double Spring Pendulum in MATLAB using Lagrangian

Описание: 💡Full project & code:
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📌In this video, we model and simulate a Double Spring Pendulum in MATLAB using Lagrangian mechanics. The system’s nonlinear equations of motion are derived using the energy-based Lagrange method and solved numerically to visualize the complex and chaotic behavior of the coupled pendulum–spring system.

This tutorial is ideal for mechanical engineering students, researchers, and anyone learning dynamic modeling, vibrations, nonlinear systems, and MATLAB ODE solvers. You’ll see how theoretical equations turn into realistic motion and plots such as angular responses, phase portraits, and energy variations.

🔹 Topics covered:
Lagrangian formulation of double spring pendulum
Derivation of equations of motion
MATLAB implementation & ODE simulation
Nonlinear and chaotic dynamics visualization
Time responses & phase plots

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