Nonlinear oscillation modes of double pendulum
نویسندگان
چکیده
منابع مشابه
Double Pendulum
The double pendulum is a classic dynamical system, capable of chaotic behavior in a four-dimensional phase space. The driven case introduces even more peculiar behaviors and opens the possibility for stable folded modes. In this paper, we explore the double pendulum in both driven and undriven cases through experimental observation and simulations, focusing on time-to-flip as a major measure of...
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ROTATIONAL DOUBLE INVERTED PENDULUM Name: Li, Bo University of Dayton Advisor: Dr. Raúl Ordóñez The thesis deals with the stabilization control of the Rotational Double Inverted Pendulum (RDIP) System. The RDIP is an extremely nonlinear, unstable, underactuated system of high order. A mathematical model is built for the RDIP with the Euler-Lagrange (E-L) equation. A Linear Quadratic Regulator (...
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School of Material Science and Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0245, USA Department of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0245, USA Department of Mechanical Engineering, Pohang University of Science and Technology, San 31, Hyoja, Namgu, Pohang, Gyungbuk 790-784, South Korea Satellite Research Facility, MANA, International C...
متن کاملChaos of the Double Pendulum
We characterized the chaotic motion of a damped physical double pendulum which has not been achieved previously. The results consist of scattered phase plots, fractal Poincaré sections, and positive Lyapunov exponents.
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The double pendulum is a classic system in the study of chaos. We have explored the double pendulum experimentally, and compared results to a numerical simulation. This comparison was done in the time it takes for the second arm of the pendulum to ”flip,” based on initial starting conditions. We also performed analyis of the vertically driven case.
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ژورنال
عنوان ژورنال: IOP Conference Series: Materials Science and Engineering
سال: 2021
ISSN: 1757-8981,1757-899X
DOI: 10.1088/1757-899x/1129/1/012042