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2013 Archive
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Author(s): Kushil Samarasekera , Mehrdad Arvin
Presentation: poster
In the fields of mathematics and physics, chaos theory is one of the least understood forms of nonlinear dynamics. The double pendulum and a driven, damped single pendulum are examples of chaotic systems. A defining property of chaotic systems is their sensitivity to initial conditions, which can have a strong influence in its unpredictable behavior. Chaotic systems are impossible to solve linearly, so the most common way is to use an approach that is flexible in different coordinate systems. Two such approaches are the Lagrangian and Hamiltonian formulations which apply simplifying assumptions to solve the motion of the system. In this project we used the Lagrangian and Hamiltonian formulations to computationally model the double pendulum, a non-linear chaotic system. Through the computational model, we observed that the motion is heavily dependent on the initial conditions. We also will demonstrate the properties and motion of a double pendulum through a real life system.
The College of Idaho 2112 Cleveland Blvd Caldwell, ID 8360 USA 208-459-5011 800-2C-IDAHO