Chaos phenomenon experimental device based on pendulum ring

Abstract

The invention relates to a chaos phenomenon experimental device based on a pendulum ring. The device comprises a bracket, a main rotating shaft and a turntable, wherein the turntable is fixed on the main rotating shaft and is capable of synchronously rotating following the main rotating shaft; the main rotating shaft is arranged on the bracket through a bearing base; an auxiliary rotating shaft which is away from the main rotating shaft and is parallel to the main rotating shaft is fixed on a side wall of the turntable; the pendulum ring capable of freely rotating around the auxiliary rotating shaft is arranged on the auxiliary rotating shaft; the axis of the auxiliary rotating shaft is located in the pendulum ring and is away from the center of the pendulum ring. A novel chaotic pendulum mechanism is designed by the invention. When the main rotating shaft is rotated, the pendulum ring can irregularly swing in a chaotic way around the rotating direction of the auxiliary rotating shaft. A visitor or leaner can clearly view the chaos phenomenon shown by the chaotic pendulum mechanism, so that the direct recognition of the visitor or leaner for the chaos phenomenon can be greatly promoted.

Description

technical field [0001] The invention belongs to the field of popular science education or teaching, and in particular relates to a chaotic phenomenon experimental device based on a pendulum ring. Background technique [0002] The certainty of a dynamical system is a mathematical concept, which means that the state of the system at any moment is determined by the initial state. Although the motion state at any future moment can be calculated according to the initial state data and motion laws of the motion, since the measurement of the initial state data cannot be completely accurate, errors in the predicted results are bound to occur, and even unpredictable. The predictability of motion is a physical concept. It is not contradictory that a movement can be unpredictable even if it is deterministic. The success of Newtonian mechanics, especially its success in predicting Neptune, has to a certain extent caused misunderstandings, equating certainty and predictability, thinkin...

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Problems solved by technology

[0004] In the teaching process, teachers usually draw chaotic mechanisms on the blackboard and try their best to describe the state of chaos. Due to the invisibility of chaos itself, it is difficult to teach intuitively.

There is an example of a simple chaotic pendulum mechanism in modern educational activities, most of which are two-stage mechanisms. This simplest mechanism has many shortcomings in practical activities. First, because the structure is too simple, it makes visitors or learners misunderstand, thinking that The chaotic pendulum is such a simple mechanism, thus ignoring the different chaotic pendulum mechanism in real life. Second, because the chaotic pendulum mechanism cannot continue to operate for a long time, visitors or learners cannot understand the chaotic phenomenon for a long time. continuous observation and, therefore, cannot be understood phenomenally

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