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Simulations & Modeling

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Dynamics of a Symmetric Spinning Top

This is a mathematical analysis of a symmetric spinning top.

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N-link Pendulum with Viscous Damping

This project utilizes Euler-Lagrange equations with Rayleigh's Dissipation Function to model the dynamics of a 2D N-link Pendulum.

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Inverse Kinematics

Using  the Newton-Raphson root finding algorithm, inverse kinematics  is performed on an 3-link kinematic chain. This algorithm can be extended to an N-link manipulator.

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Dynamics of a Circular Drum

This is an mathematical analysis of a vibrating circular drum.

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N-link Inverted Pendulum Control System

This project utilizes Euler-Lagrange equations, state space linearization, and the linear–quadratic regulator (LQR) feedback controller to balance the 2D N-link pendulum.

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Analysis of the Duffing Equation

This project investigates the the nonlinear Duffing Equation both analytically and numerically.

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Under Construction:
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