# double pendulum

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## double pendulum

[¦dəb·əl ′pen·jə·ləm]
(mechanics)
Two masses, one suspended from a fixed point by a weightless string or rod of fixed length, and the other similarly suspended from the first; often the system is constrained to remain in a vertical plane.
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Qian (North China Electric Power University) investigates double pendulum overhead crane dynamics with Lagrangian mechanics, and collects several methods for suppressing sway in double pendulum overhead cranes.
An interesting contribution dealing with chaos control of a double pendulum arm powered through an RLC circuit is reported in [11] where the authors used the state-dependent Riccati equation control and the nonlinear saturation control techniques to suppress chaos in the dynamics of the double pendulum arm.
Karakatsanis describes the current situation in the realm of Turkish-Greek rapproachment as a double pendulum in which the feelings of excitement and boredom exist in parallel to friendship and enmity.
When you add a second hinge, you make a double pendulum. Pulling the two hinges back a large distance causes each hinge to swing at a slightly different rate, making the entire pendulum's path hard to predict.
Therefore solutions of different systems display their chaotic behavior such as Chen's system, Chua's dynamical system, the motion of double pendulum, and Rossler system amongst others.
Without any knowledge of geometry or physics, the program came up with Newton's second law of motion and other equations governing the double pendulum's behavior.
One of Eureqa's initial achievements was identifying the basic laws of motion by analyzing the motion of a double pendulum. What took Sir Isaac Newton years to discover, Eureqa did in a few hours when running on a personal computer.
Gibbs, "map the structure of one domain onto the structure of another." Architect Eric Ellingsen, in particular, maps the poetic form of the villanelle onto Chicago's North Branch Trail system in hopes of creating a "different metric," one that uses the "double pendulum" of the human body walking as a unit of measure (page 41).
As examples of visualization of the problems of engineering mechanics the simulations of motion of virtual four bar linkage, material point on the elliptical trajectory and large oscillations of a virtual double pendulum are considered.
In the next section, we will use a double pendulum and obtain its total mechanical energy.
The researchers tested the method with apparatus used in freshman physics courses: a spring-loaded linear oscillator, a single pendulum and a double pendulum.

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