Pendulum Autographs

نویسندگان

چکیده

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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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Inverted Pendulum

In this work we have tried to create an inverted pendulum using standard PC hardware. The pendulum in this project has been mounted onto a printer. A serial mouse serves as an angle sensor. The software controller has been implemented bare metal using a common micro controller architecture.

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Chaotic Pendulum

The harmonic oscillator is a paradigm of predictability. The resonance response of a harmonic oscillator can be exploited to make clocks accurate to 1 part in 10. Harmonic oscillations are normally observed in systems operating near equilibrium and governed by linear or “Hooke’s law” restoring forces. Nonetheless, for small enough excursions from equilibrium, systems governed by nonlinear resto...

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Controlling the Inverted Pendulum

The strategies involved in swinging up and balancing the inverted pendulum are discussed. The nonlinear swing-up controller drives the system input according to the energy of the pendulum. The balancing controller is a digital linear quadratic regulator that is based on a model of the plant that has been linearized about the pendulum’s upright equilibrium position. Relays with hysteresis are em...

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Electrostatically suspended torsion pendulum

A torsion pendulum without a torsion wire has been designed and realized, in order to measure very weak forces. The arm of this torsion pendulum ~5.40 g, 1.32310 kg m of inertia! is electrostatically suspended. Its 6 degrees of freedom are controlled thanks to electrostatic forces, and capacitive position sensing with a noise spectral density between 10 and 10 m/AHz. The torque noise spectral d...

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ژورنال

عنوان ژورنال: Nature

سال: 1871

ISSN: 0028-0836,1476-4687

DOI: 10.1038/004310a0